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has six metastrategies which defeat second-guessing, triple-guessing, as well as second-guessing the opponent, and so on. The optimal strategy or metastrategy is chosen based on past performance. The main strategies it employs are history matching, frequency analysis, and random guessing. Its strongest strategy, history matching, searches for a sequence in the past that matches the last few moves in order to predict the next move of the algorithm. In frequency analysis, the program simply identifies the most frequently played move. The random guess is a fallback method that is used to prevent a devastating loss in the event that the other strategies fail. There have since been some innovations, such as using multiple history-matching schemes that each match a different aspect of the history – for example, the opponent's moves, the program's own moves, or a combination of both. There have also been other algorithms based on
2276:. The game is based on the classic children's game rock paper scissors (Jak-en-poy in Filipino, derived from the Japanese Jan-ken-pon) where four players are paired to compete in the three-round segment. In the first round, the first pair plays against each other until one player wins three times. The next pair then plays against each other in the second round. The winners from the first two rounds then compete against each other to finally determine the ultimate winner. The winner of the game then moves on to the final round. In the final round, the player is presented with several Dabarkads, each holding different amounts of cash prize. The player will then pick three Dabarkads who they will play rock paper scissors against. The player plays against them one at a time. If the player wins against any of the
3090:, which has some similarities to rock paper scissors, a brief correspondence began on the subject. One contributor described a game he had seen played in Mediterranean ports, called 'zot' or 'zhot', which was clearly identical with the modern Rock paper scissors": 'In this game the closed fist represents a stone, the open hand with fingers outstretched paper, and the closed fist with two fingers outstretched scissors...The players stand facing one another, and commence playing simultaneously by raising and lowering the right arm three times rapidly, coming to rest with the fist in any of the three above-mentioned positions. If you keep your fist closed and your opponent flings open his hand then you lose, as paper wraps up stones, and so on.'
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neutral site agreeable to both parties. If counsel cannot agree on a neutral site, they shall meet on the front steps of the Sam M. Gibbons U.S. Courthouse, 801 North
Florida Ave., Tampa, Florida 33602. Each lawyer shall be entitled to be accompanied by one paralegal who shall act as an attendant and witness. At that time and location, counsel shall engage in one (1) game of "rock, paper, scissors." The winner of this engagement shall be entitled to select the location for the 30(b)(6) deposition to be held somewhere in Hillsborough County during the period 11–12 July 2006.
583:(1917), which suggests that it was known in America at least that early. The first passage where it appears says "In order that no feelings might be involved in any way over which car we other girls traveled in, Nyoda, Solomon-like, proposed that she and Gladys play 'John Kempo' for us. (That isn't spelled right, but no matter.)" There is no explanation in any of the places where it is referenced of what the game actually is. This suggests that the author at least believed that the game was well known enough in America that her readers would understand the reference.
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134:, it has three possible outcomes: a draw, a win, or a loss. A player who decides to play rock will beat another player who chooses scissors ("rock crushes scissors" or "breaks scissors" or sometimes "blunts scissors"), but will lose to one who has played paper ("paper covers rock"); a play of paper will lose to a play of scissors ("scissors cuts paper"). If both players choose the same shape, the game is tied and is usually replayed to break the tie.
758:). In a longer version of the game, a four-line song is sung, with hand gestures displayed at the end of each (or the final) line: "Jack-en-poy! / Hali-hali-hoy! / Sino'ng matalo, / siya'ng unggoy!" ("Jack-en-poy! / Hali-hali-hoy! / Whoever loses is the monkey!") In the former case, the person with the most wins at the end of the song, wins the game. A shorter version of the game uses the chant "Bato-bato-pick" ("Rock-rock-pick ") instead.
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extending their selected sign towards their opponent on what would have been the fourth count, often saying the word "shoot" while doing so. Variations include a version where players throw immediately on the third count (thus throwing on the count of "Scissors!"), a version including five counts rather than four ("Rock! Paper! Scissors! Says! Shoot!", almost exclusively localized in the United States to
888:) is unbalanced; both the stone and scissors fall in the well and lose to it, while paper covers both stone and well. This means two "weapons", well and paper, can defeat two moves, while the other two weapons each defeat only one of the other three choices. The stone has no advantage to well, so optimal strategy is to play each of the other objects (paper, scissors and well) one-third of the time.
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it is possible to determine if the opponent is about to throw "rock" based on their lack of hand movement, as both "scissors" and "paper" require the player to reposition their hand. This can likewise be used to deceive an anticipating opponent by keeping one's fist closed until the last possible moment, leading them to believe that one is about to throw "rock".
1883:, relations between "lifters, which had wedged sides and could use forklift-like prongs to flip pure wedges", "spinners, which were smooth, circular wedges with blades on their bottom side for disabling and breaking lifters", and "pure wedges, which could still flip spinners" are analogical to relations in rock paper scissors games and called "robot Darwinism".
730:" and thus the play continues until both players throw the same item (for example, rock and rock), at which point whoever was the last winner becomes the actual winner. In another popular two-handed variant, one player will shout "minus one" after the initial play. Each player removes one hand, and the winner is decided by the remaining hands in play.
172:. The legend that he played the game is apocryphal, as all evidence points to the game being brought to the United States later than 1910; if this name has anything to do with him it is for some other reason. It is unclear why this name became associated with the game, with hypotheses ranging from a slight phonetic similarity with the Japanese name
802:"). At the same time, the other player changes his hand gestures as well. If one of his hand gestures is the same as the other one, that hand is "out" and he puts it behind his back; he is no longer able to play that hand for the rest of the round. The players take turns in this fashion, until one player loses by having both hands sent "out". "
119:, usually played between two people, in which each player simultaneously forms one of three shapes with an outstretched hand. These shapes are "rock" (a closed fist), "paper" (a flat hand), and "scissors" (a fist with the index finger and middle finger extended, forming a V). The earliest form of "rock paper scissors"-style game originated in
1461:. The most representative game of these 4 is "rock, paper, scissors, fire, water". Rock beats scissors, paper beats rock, scissors beats paper, fire beats everything except water, and water is beaten by everything except it beats fire. The perfect game-theoretic strategy is to use rock, paper, and scissors
1140:, while "lizard" is shown by forming the hand into a sock-puppet-like mouth. Spock smashes scissors and vaporizes rock; he is poisoned by lizard and disproved by paper. Lizard poisons Spock and eats paper; it is crushed by rock and decapitated by scissors. This variant was mentioned in a 2005 article in
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that the parties have been unable to untangle without enlisting the assistance of the federal courts – it is ORDERED that said Motion is DENIED. Instead, the Court will fashion a new form of alternative dispute resolution, to wit: at 4:00 P.M. on Friday, June 30, 2006, counsel shall convene at a
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A multiple player variation can be played: Players stand in a circle and all throw at once. If rock, paper, and scissors are all thrown, it is a stalemate, and they rethrow. If only two throws are present, all players with the losing throw are eliminated. Play continues until only the winner remains.
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The "rock" move, in particular, is notable in that it is typically represented by a closed fist—often identical to the fist made by players during the initial countdown. If a player is attempting to beat their opponent based on quickly reading their hand gesture as the players are making their moves,
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The World Rock Paper
Scissors Society hosted Professional Rock Paper Scissors Tournaments from 2002 to 2009. These open, competitive championships were widely attended by players from around the world and attracted widespread international media attention. WRPS events were noted for their large cash
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Holdings, seeking their proposals on how they would bring the collection to the market as well as how they would maximize the profits from the sale. Both firms made elaborate proposals, but neither was persuasive enough to earn
Hashiyama's approval. Unwilling to split up the collection into separate
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The players may start by counting to three aloud, or by speaking the name of the game (e.g. "Rock! Paper! Scissors!"), raising one hand in a fist and swinging it down with each syllable onto their other hand (or in a less common variant, holding it behind their back). They then "throw" or "shoot" by
770:
In the
Malaysian version of the game, "scissors" is replaced by "bird", represented with the finger tips of five fingers brought together to form a beak. The open palm represents "water". Bird beats water (by drinking it); stone beats bird (by hitting it); and stone loses to water (because it sinks
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Using the same tripartite division, there is a full-body variation in lieu of the hand signs called "Bear, Hunter, Ninja". In this iteration the participants stand back-to-back and at the count of three (or ro-sham-bo as is traditional) turn around facing each other using their arms evoking one of
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As a consequence of rock paper scissors programming contests, many strong algorithms have emerged. For example, Iocaine Powder, which won the First
International RoShamBo Programming Competition in 1999, uses a heuristically designed compilation of strategies. For each strategy it employs, it also
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uses the rock, paper, and scissors signs and is the direct source of the modern version of rock paper scissors. Hand-games using gestures to represent the three conflicting elements of rock, paper, and scissors have been most common since the modern version of the game was created in the late 19th
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the "frog" (represented by the thumb) triumphs over the "slug" (represented by the little finger), which, in turn prevails over the "snake" (represented by the index finger), which triumphs over the "frog". (The
Chinese and Japanese versions differ in the animals represented; in adopting the game,
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In many games, it is common for a group of possible choices to interact in a rock paper scissors style, where each selection is strong against a particular choice, but weak against another. Such mechanics can make a game somewhat self-balancing, prevent gameplay from being overwhelmed by a single
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Variants in which the number of moves is an odd number and each move defeats exactly half of the other moves while being defeated by the other half are typically considered. Variations with up to 101 different moves have been published. Adding new gestures has the effect of reducing the odds of a
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By the early 20th century, rock paper scissors had spread beyond East Asia, especially through increased
Japanese contact with the west. Its English-language name is therefore taken from a translation of the names of the three Japanese hand-gestures for rock, paper and scissors; elsewhere in East
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During tournaments, players often prepare their sequence of three gestures prior to the tournament's commencement. Some tournament players employ tactics to confuse or trick the other player into making an illegal move, resulting in a loss. One such tactic is to shout the name of one move before
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The houses were unable to reach a decision. Hashiyama told the two firms to play rock paper scissors to decide who would get the rights to the auction, explaining that "it probably looks strange to others, but I believe this is the best way to decide between two things which are equally good."
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and non-linear dynamics to bacteriology. Models of evolution demonstrate how intragenomic competition can lead to rock paper scissors dynamics from a relatively general evolutionary model. The general nature of this basic non-transitive model is widely applied in theoretical biology to explore
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as a hand game, possibly of
Mediterranean origin, called "zhot". A reader then wrote in to say that the game "zhot" referred to was evidently Jan-ken-pon, which she had often seen played throughout Japan. Although at this date the game appears to have been new enough to British readers to need
1991:
The auction houses had a weekend to come up with a choice of move. Christie's went to the 11-year-old twin daughters of the international director of
Christie's Impressionist and Modern Art Department Nicholas Maclean, who suggested "scissors" because "Everybody expects you to choose 'rock'."
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In North
America and the United Kingdom, it is known as "rock, paper, scissors" or "scissors, paper, stone". If this name is chanted while actually playing the game, it might be followed by an exclamation of "shoot" at the moment when the players are to reveal their choice (i.e. "Rock, paper,
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compete with each other in the intestines of mice, and that the rock paper scissors dynamics allowed for the continued competition among strains: antibiotic-producers defeat antibiotic-sensitives; antibiotic-resisters multiply and withstand and out-compete the antibiotic-producers, letting
640:. However, it is possible to gain a significant advantage over a non-random player by predicting their move, which can be done by exploiting psychological effects or by analyzing statistical patterns of their past behavior. As a result, there have been programming competitions for
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described it as a common method of settling disputes between children in its article on Japan; the name was given as "John Kem Po" and the article pointedly asserted, "This is such a good way of deciding an argument that American boys and girls might like to practice it too."
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represent the symbols (weapons) choosable by the players, and an edge from A to B means that A defeats B. Each oriented graph is a potentially playable rock paper scissors game. According to theoretical calculations, the number of distinguishable (i.e. not
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In Australia, the most common name is "scissors, paper, rock" (the reverse of the American format). There have been claims that there are regional variations of the name in Australia; the video claimed that it was referred to as "scissors, paper, rock" in
1824:) exhibits a rock paper scissors pattern in its mating strategies. Of its three throat color types of males, "orange beats blue, blue beats yellow, and yellow beats orange" in competition for females, which is similar to the rules of rock-paper-scissors.
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The XtremeRPS National Competition is a US nationwide RPS competition with Preliminary Qualifying contests that started in January 2007 and ended in May 2008, followed by regional finals in June and July 2008. The national finals were to be held in
2152:. The 1st UK Championship took place on 13 July 2007, and were then held annually. The 2019 event was won by Ellie Mac, who went on to pick up the cash prize of £20,000 but was unable to double her earnings in 2020 due to the coronavirus outbreak.
2140:), with the winner being Lee Rammage, who went on to compete in at least one subsequent championship. The 2007 tournament was won by Andrea Farina. The last tournament hosted by the World RPS Society was in Toronto, Canada, on November 14, 2009.
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series of strategy role-playing games, the Weapon Triangle and Trinity of Magic influence the hit and damage rates of weapon types based on whether they are at an advantage or a disadvantage in their respective rock paper scissors system. In the
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Players have developed numerous cultural and personal variations on the game, from simply playing the same game with different objects, to expanding into more weapons and rules, to giving their own name to the game in their national language.
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833:, and the three signs are elephant (slightly raised thumb), human (outstreched index finger) and ant (outstreched pinky finger). Elephant is stronger than human, human is stronger than ant, but elephant is afraid of the ant.
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won the Second Annual World Series of Rock Paper Scissors. The tournament is taped by ESPN and highlights are covered during "The Nuts" section of ESPN's annual WSOP broadcast. 2009 was the fifth year of the tournament.
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Oxford University Press, London. (Details some variants on rock paper scissors such as 'Man, Earwig, Elephant' in Indonesia, and presents evidence for the existence of 'finger throwing games' in Egypt as early as 2000
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The inaugural Budweiser International Rock, Paper, Scissors Federation Championship was held in Beijing, China after the close of the 2008 Summer Olympics at Club Bud. A Belfast man won the competition.
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2067:, there is a rock paper scissors element in the type effectiveness system. For example, a Grass-typed Pokémon is weak to Fire, Fire is weak to Water, and Water is weak to Grass. In the 3DS remake of
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and had no particular strategy for the game, but went with "paper". Christie's won the match and sold the $ 20 million collection, earning millions of dollars of commission for the auction house.
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described "stone, scissors, and paper" as a "Teutonic method of drawing lots", which the writer "came across when travelling on the Continent once". Another article, from the same year, the
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In 2008, Sean "Wicked Fingers" Sears beat 300 other contestants and walked out of the Mandalay Bay Hotel and Casino with $ 50,000 after defeating Julie "Bulldog" Crossley in the finals.
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Many card-based video games in Japan use the rock paper scissors system as their core fighting system, with the winner of each round being able to carry out their designated attack. In
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Kerr, Benjamin; Riley, Margaret A.; Feldman, Marcus W.; Bohannan, Brendan J. M. (11 July 2002). "Local dispersal promotes biodiversity in a real-life game of rock–paper–scissors".
605:“Jan-Ken-Po”, first published in 1934, describes the rules of the hand-game without mentioning any American game along the lines of “rock paper scissors”. The 1933 edition of the
743:). The loser of each round removes an article of clothing. The game is a minor part of porn culture in Japan and other Asian countries after the influence of TV variety shows and
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3242:, article by Marion May Dilts: "COMMUTING WITH TOKYO'S SUBURBANITES; Their Morning Ritual Is Characteristically Japanese, but In Their Mode of Travel There Is Western Technique"
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article on the Tokyo rush hour describes the rules of the game for the benefit of American readers, suggesting it was not at that time widely known in the U.S. Likewise, the
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The name "rock paper scissors" is simply a translation of the Japanese words for the three gestures involved in the game, though the Japanese name for the game is different.
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5535:"Eat Bulaga: Judy Ann Santos, tinalo ang kapatid sa Jackpot en Poy | Eat Bulaga | TV | GMA Entertainment - Online Home of Kapuso Shows and Stars - Video"
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590:, a children's magazine in France, described it in detail, referring to it as a "jeu japonais" ("Japanese game"). Its French name, "Chi-fou-mi", is based on the
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created a robot hand that can play rock paper scissors with a 100% win rate against a human opponent. Using a high-speed camera the robot recognizes within one
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Generalized rock-paper-scissors games where the players have a choice of more than three weapons have been studied. Any variation of rock paper scissors is an
726:" upon which both players throw again. If they throw differently (for example, rock and paper, or paper and scissors), whoever wins this second round shouts "
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tie, while increasing the complexity of the game. The probability of a tie in an odd-number-of-weapons game can be calculated based on the number of weapons
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and was subsequently imported into Japan, where it reached its modern standardized form, before being spread throughout the world in the early 20th century.
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results demonstrate rock paper scissors dynamics in additional species of bacteria. Biologist Benjamin C. Kirkup Jr. demonstrated that these antibiotics,
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2174:. Following months of regional qualifying tournaments held across the US, 257 players were flown to Las Vegas for a single-elimination tournament at the
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is a rock-paper-scissors game using cards that represent the three elements, Fire, Water and Snow. Fire beats snow, snow beats water, water beats fire.
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selection methods, however, rock paper scissors can be played with some degree of skill by recognizing and exploiting non-random behavior in opponents.
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Kirkup, Benjamin C.; Riley, Margaret A. (25 March 2004). "Antibiotic-mediated antagonism leads to a bacterial game of rock–paper–scissors in vivo".
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2054:, the player has to win games of rock paper scissors against each boss to proceed. Others use simple variants of rock paper scissors as subgames.
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Jiang, Luo-Luo; Zhou, Tao; Perc, Matjaž; Wang, Bing-Hong (2011). "Effects of competition on pattern formation in the rock-paper-scissors game".
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Kitsune-ken was a popular Japanese rock paper scissors variant. From left to right: The hunter (ryōshi), village head (shōya) and fox (kitsune).
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Rock paper scissors is the subject of continued research in bacterial ecology and evolution. It is considered one of the basic applications of
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of the time for fire and water. Nevertheless, experiments show that people underuse water and overuse rock, paper, and scissors in this game.
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Alonzo, Suzanne H.; Sinervo, Barry (2001). "Mate choice games, context-dependent good genes, and genetic cycles in the side-blotched lizard,
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series, the three basic actions used during battles are described in their respective rock paper scissors system: attack, defense, and grab.
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2167:. Leo Bryan Pacis was the first commissioner of the USARPS. Cody Louis Brown was elected as the second commissioner of the USARPS in 2014.
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Sinervo, Barry (2001). "Runaway social games, genetic cycles driven by alternative male and female strategies, and the origin of morphs".
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2079:, the battles in the second mode use a “Power Triangle” system based on the game's three attack types: Melee, Ranged, and Flying. In the
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the totems. The players' choices break down as: Hunter shoots bear; Bear eats ninja; Ninja kills hunter. The game was popularized with a
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Adami, Christoph; Schossau, Jory; Hintze, Arend (1 January 2012). "Evolution and stability of altruist strategies in microbial games".
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Asia the open-palm gesture represents "cloth" rather than "paper". The shape of the scissors is also adopted from the Japanese style.
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Each of the three basic hand signs (from left to right: rock, paper, and scissors) beats one of the other two, and loses to the other.
5813:"The Evolution of Alternative Reproductive Strategies: Fitness Differential, Heritability, and Genetic Correlation Between the Sexes"
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1112:, so the probability of a tie is 1/3 in standard rock paper scissors, but 1/5 in a version that offered five moves instead of three.
873:
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Bucci, Vanni; Nadell, Carey D.; Xavier, João B. (1 December 2011). "The Evolution of Bacteriocin Production in Bacterial Biofilms".
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production. The theory for this finding was demonstrated by computer simulation and in the laboratory by Benjamin Kerr, working at
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ordered opposing sides in a lengthy court case to settle a trivial (but lengthily debated) point over the appropriate place for a
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798:" they both show two open-palmed hands. One player then changes his hand gestures while calling his new combination out (e.g., "
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prizes, elaborate staging, and colorful competitors. In 2004, the championships were broadcast on the U.S. television network
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4415:"The coevolution of toxin and antitoxin genes drives the dynamics of bacterial addiction complexes and intragenomic conflict"
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Sinervo, Barry; Clobert, Jean (2003). "Morphs, Dispersal Behavior, Genetic Similarity, and the Evolution of Cooperation".
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A biological example of rock paper scissors: Interview with biologist Barry Sinervo on the 7th Avenue Project Radio Show
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Linhart, Sepp (1995). "Some Thoughts on the Ken Game in Japan: From the Viewpoint of Comparative Civilization Studies".
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Sinervo, Barry; Lively, C. M. (1996). "The Rock-Paper-Scissors Game and the evolution of alternative male strategies".
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806:" is most likely a transcription of the Japanese names for the different hand gestures in the original jan-ken game, "
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Pátková, Irena; Čepl, Jaroslav J; Rieger, Tomáš; Blahůšková, Anna; Neubauer, Zdeněk; Markoš, Anton (1 January 2012).
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790:" refers to the water gesture. The game is played by two players using both hands. At the same time, they both say, "
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204:. While the game's name is a list of three items, different countries often have the list in a different order.
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and some parts of New York City), and a version where players shake their hands three times before "throwing".
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2247:. The event is an annual fundraiser for the "Cancer Research and Prevention Foundation" via Gordon's charity
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478:(狐) defeats the village head, the village head (庄屋) defeats the hunter, and the hunter (猟師) defeats the fox.
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auctions, Hashiyama asked the firms to decide between themselves who would hold the auction, which included
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Linhart, Sepp (1998). "From Kendo to Jan-ken: The Deterioration of a Game from Exoticism to Ordinariness".
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4826:"Pokemon Go type chart - type strength, weakness and effectiveness for Pokemon battles explained - VG247"
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The largest rock paper scissors tournament hosted 2,950 players and was achieved by Oomba, Inc. (USA) at
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Started in 2015, the WRPSA has hosted Professional Rock Paper Scissors Tournaments all around the world.
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Tagiew, Rustam (2009). "Hypotheses about Typical General Human Strategic Behavior in a Concrete Case".
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From China the game was brought to Japan. Throughout Japanese history there are frequent references to
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432:(fist) games "of the three who are afraid of one another" (i.e. A beats B, B beats C, and C beats A).
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4082:. Lecture Notes in Computer Science. Vol. 5883. Berlin, Heidelberg: Springer. pp. 476–485.
3710:"After Another Short Break, "Not Much Equipment Games" returns – Bear, Hunter, Ninja! - Knucklebones"
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In Korea the name of the game, Kai Bai Bo, or Kawi Bawi Bo, translates as "scissors, rock, cloth".
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described it as a method of "Chinese gambling". In Britain in 1924 it was described in a letter to
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antibiotic-sensitives multiply and out-compete others; until antibiotic-producers multiply again.
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3084:
After the Rome correspondent of a British paper described the traditional Italian hand-game of
2305:
602:
5117:
3820:
Akin, Ethan (2018). "Rock, Paper, Scissors, Etc—Topics in the Theory of Regular Tournaments".
3766:"Pigs Don't Fly by Zac Martin - Digital Marketing & Entrepreneurship: + Bear Hunter Ninja"
3650:
3644:
3556:"Janken (rock-paper-scissors) robot with 100% winning rate (human-machine cooperation system)"
3440:
6737:
6722:
6291:
5033:
4705:
3211:
3130:
3097:
2973:
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2595:"Ready, set ... Roshambo! Contestants vie for $ 1,000 purse in Rock, Scissors, Paper contest"
2240:
2239:
has hosted an annual $ 500 World Series of Rock Paper Scissors event in conjunction with the
2115:
Various competitive rock paper scissors tournaments have been organised by different groups.
1457:
showed that 4 variants of 582 possible variations using 5 different weapons have non-trivial
854:
545:
5058:
3765:
3686:
2396:
2270:
Jackpot En Poy is a game segment on the Philippines' longest running noontime variety show,
7071:
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6938:
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6827:
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6351:
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Art/Auctions logo, Impressionist & Modern Art, Christie's, 7 pm, May 4, 2005, Sale 1514
4524:
4371:
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4208:
4083:
3853:
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2713:
137:
Rock paper scissors is often used as a fair choosing method between two people, similar to
5973:
3365:
3296:
2185:
The $ 50,000 2007 USARPS Tournament took place at the Las Vegas Mandalay Bay in May 2007.
8:
7314:
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6847:
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6378:
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5799:
5760:
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4710:
4567:"Atherton, K. D. (2013). A brief history of the demise of battle bots. Popular science"
4548:
4514:
4487:
4439:
4414:
4395:
4361:
4334:
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4251:
4232:
3821:
946:
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351:
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38:
4799:
4046:"The Big Bang Theory Video — Rock, Paper, Scissors, Lizard, Spock — CBS.com"
7192:
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6837:
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6541:
6531:
6423:
6373:
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5834:
5803:
5752:
5727:
5705:
5243:
4805:
4739:"Soccer Ref Suspended Three Weeks For Using Rock-Paper-Scissors Instead Of Coin Flip"
4630:
4622:
4540:
4479:
4444:
4387:
4326:
4283:
4224:
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859:
676:
which shape the human hand is making, then produces the corresponding winning shape.
551:
225:
127:
113:
5889:. Fireside. (strategy, tips and culture from the World Rock Paper Scissors Society).
5764:
5717:
5656:
4881:
4491:
4249:
699:
that shows geisha playing kitsune-ken, a Japanese rock paper scissors variant (1820)
236:
7273:
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7202:
7166:
7146:
7106:
7076:
7031:
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6971:
6928:
6782:
6556:
6418:
6355:
6341:
6306:
5990:"Hand to Hand Combat: Down and dirty at the World Rock Paper Scissors Championship"
5824:
5791:
5774:
5744:
5697:
5644:
5121:
4552:
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4426:
4399:
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4273:
4263:
4236:
4216:
4091:
3618:
3445:
3393:
2889:
2310:
2202:
1965:
1948:
In 2005, when Takashi Hashiyama, CEO of Japanese television equipment manufacturer
1905:
1841:
217:
2683:
2626:
2061:
role-playing games prominently feature a rock paper scissors gameplay element. In
7171:
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6717:
6669:
6551:
6316:
6286:
6256:
6029:
5879:
5866:
4691:
4095:
3878:
Proceedings of the International Conference on Agents and Artificial Intelligence
3849:
3421:
3043:
2364:
2171:
418:
game (1809). From left to right: slug (namekuji), frog (kawazu) and snake (hebi).
295:
221:
213:
7036:
1978:
1957:
1934:
176:
to the presence of a statue of Rochambeau in a neighborhood of Washington, D.C.
7111:
7101:
7091:
7026:
7016:
7006:
6991:
6787:
6767:
6752:
6747:
6707:
6674:
6659:
6654:
6644:
6448:
6127:
4536:
4412:
4383:
4132:"The rock-paper-scissors game and the evolution of alternative male strategies"
3157:
2179:
2175:
2133:
2012:, had the team captains play rock paper scissors to determine which team would
1993:
744:
696:
636:
It is impossible to gain an advantage over an opponent that chooses their move
235:
In New Zealand, the most common name in English is "paper, scissors, rock". In
142:
5829:
5812:
5701:
4910:
4155:
3791:
2545:. Roy Rosenzweig Center for History and New Media at George Mason University.
862:) oriented graphs grows with the number of weapons = 3, 4, 5, ... as follows:
286:
149:
in order to settle a dispute or make an unbiased group decision. Unlike truly
7293:
7151:
7141:
7096:
7081:
7061:
6832:
6807:
6679:
6649:
6639:
6626:
6526:
6468:
6403:
6336:
6119:
4684:
4634:
4413:
Rankin, D. J.; Turner, L. A.; Heinemann, J. A.; Brown, S. P. (11 July 2012).
4268:
4127:
4113:
3984:
3958:
3513:"Rock Paper Scissors Programming Competition entry: sixth-order markov chain"
2009:
1969:
1961:
1953:
1949:
1941:
1832:
Some bacteria also exhibit a rock paper scissors dynamic when they engage in
1137:
471:
424:
415:
277:
264:
In France, the game is sometimes called Shifumi (sometimes spelled Chifoumi)
138:
131:
6036:
5748:
5677:, 2 vols. (more evidence of nonexistence of rock paper scissors in the West)
4661:"Order of the court: Avista Management vs. Wausau Underwriters Insurance Co"
2790:"Rock, paper, scissors, winner! Fast-fingered champ takes home $ 1000 prize"
2743:
1133:" and "lizard" to the standard three choices. "Spock" is signified with the
841:
commercial where warehouse employees had too much free time on their hands.
514:, which is a variation of the Chinese games introduced in the 17th century.
7126:
7121:
6976:
6546:
6194:
6173:
6104:
5838:
5756:
5709:
5267:
4544:
4483:
4448:
4430:
4391:
4330:
4287:
4228:
3841:
3086:
2631:
2508:
2316:
2297:
2220:
2137:
2096:
1973:
1917:
1874:
662:
591:
524:
342:
120:
5648:
5202:"World RPS Society - 2004 Champion Lee Rammage crushes a pair of Scissors"
4800:
Egenfeldt-Nielsen, Simon; Jonas Heide Smith; Susana Pajares Tosca (2008).
2291:
7243:
7046:
7041:
7021:
6817:
6802:
6611:
6581:
6511:
6501:
6331:
6266:
6242:
5670:
4041:
3486:
3464:
2653:"The Origins and Evolution of Rock Paper Scissors: A History of the Game"
2474:
2464:
2272:
2081:
2032:
to identify winning hands according to the rules of rock paper scissors.
1861:
1849:
1521:+ means that the row player "beats", − means "is beaten" and O means tie
1454:
1166:+ means that the row player "beats", − means "is beaten" and O means tie
894:+ means that the row player "beats", − means "is beaten" and O means tie
718:
673:
364:
312:
6210:
5935:
was created from a revision of this article dated 14 July 2006
4322:
4220:
3673:
3512:
560:
explaining, the appearance by 1927 of a popular thriller with the title
6872:
6521:
6142:
5319:"Belfast man tops world at rock, paper, scissors | Irish Examiner"
2252:
2029:
1879:
1833:
885:
734:
722:. After showing their hands, the player with the winning throw shouts "
229:
150:
5665:
Korean Games, With Notes on the Corresponding Games at China and Japan
3487:"Rock Paper Scissors Programming Competition entry: DNA werfer 5 L500"
2822:"Te Wiki o te Reo Māori 2020 | Ko Tā te Rangatira Kai, He Kōrero"
459:(蜈蜙) were apparently confused with the characters for the slug (蛞蝓)).
54:
6777:
6697:
6516:
6132:
6109:
6099:
6085:
5795:
3589:
2893:
1142:
641:
456:
116:
65:
4461:
3115:
Letter to the editor, from Paymaster Lieutenant G.L.P. Garwood, R.N.
2178:
where the winner received $ 50,000. The tournament was shown on the
648:
throwing another, in order to misdirect and confuse their opponent.
571:
The game is referred to in two of Hildegard G. Frey's novels in the
7212:
6712:
4853:"The best rock-paper-scissors players know how to win without luck"
4743:
4475:
3826:
2058:
1868:
739:
628:
453:
372:
4706:"Rock, Paper, Payoff: Child's Play Wins Auction House an Art Sale"
4519:
4366:
1916:
Upon consideration of the Motion – the latest in a series of
668:
In 2012, researchers from the Ishikawa Watanabe Laboratory at the
6933:
6923:
6601:
2216:
2111:
Two players at the 4th UK Rock Paper Scissors Championships, 2010
866:
7, 42, 582, 21480, 2142288, 575016219, 415939243032, … (sequence
540:
475:
4351:
2770:"Aussies debate the correct way to play 'Scissors, Paper, Rock'"
2243:
since 2005. The winner of the WSORPS receives an entry into the
2148:
Several RPS events have been organised in the United Kingdom by
620:
5969:
5667:. (evidence of nonexistence of rock paper scissors in the West)
4968:
3415:"Student rivals throw down at rock, paper, scissors tournament"
3930:
3254:, 1933, Volume 7, p. 194. F. E. Compton & Company, Chicago
2850:. Upper Saddle River, NJ: Pearson Prentice Hall. p. 535.
1984:, estimated to be worth between $ 12 million to $ 16 million.
6702:
6054:
6017:
3874:"Towards a Framework for Management of Strategic Interaction"
3270:
2170:
In April 2006, the inaugural USARPS Championship was held in
1445:
1130:
838:
363:
1600), who wrote that the game dated back to the time of the
164:
The name Roshambo or Rochambeau has been claimed to refer to
37:"Ro Sham Bo" redirects here. For the album by The Grays, see
6043:
Radio documentary explores links between RPS and game theory
4940:"Hour 3: Ken "Whitey" Watson by Keyshawn, JWill & Zubin"
4623:"Lawyers Won't End Squabble, So Judge Turns to Child's Play"
4080:
AI*IA 2009: Emergent Perspectives in Artificial Intelligence
2107:
2016:. The referee was subsequently suspended for three weeks by
2195:
868:
712:
In Korea, where the standard version of the game is called
486:
or rock–paper–scissors, requires gestures with both hands.
146:
6022:
3325:
3229:: "Jeux actifs et mi-actifs pouvant être joués en classe."
6040:
4049:
2008:, the referee, upon being without a coin for the pregame
520:
6012:
5872:
4300:
2118:
184:
The modern game is known by several other names such as
108:(also known by several other names and word orders, see
5675:
The traditional games of England, Scotland, and Ireland
4419:
Proceedings of the Royal Society B: Biological Sciences
3390:"Second International RoShamBo Programming Competition"
1956:
paintings owned by his corporation, including works by
4969:"About Us | The World Rock Paper Scissors Association"
3407:
3362:"First International RoShamBo Programming Competition"
2205:, in August 2008, with a chance to win up to $ 5,000.
684:"Jack en poy" redirects here. Not to be confused with
4802:
Understanding video games: the essential introduction
2458:
2456:
2454:
1908:
using the game of rock paper scissors. The ruling in
1774:
1726:
1678:
1630:
1582:
1494:
1467:
1419:
1371:
1323:
1275:
1227:
1129:", invented by Sam Kass and Karen Bryla, which adds "
1077:
1032:
987:
949:
367:(206 BCE – 220 CE). In the book, the game was called
5459:"The REAL championship at the World Series of Poker"
3586:"Play muk-zzi-ppa! The upgraded rock-paper-scissors"
3024:
Jan Ken Po: The World of Hawaii's Japanese Americans
2845:
2504:"Why Do People Call Rock-Paper-Scissors "Roshambo?""
2328:
Rock paper scissors and human social cyclic behavior
2287:
2126:
328:
The first known mention of the game was in the book
3538:"Rock-paper-scissors robot wins every time – video"
2916:Linhart, Sepp (1995). "Rituality in the ken game".
2714:"How to Play Rock, Paper, Scissors: A Simple Guide"
2399:
Rock, paper, scissors: game theory in everyday life
2366:
Rock, Paper, Scissors: Game Theory in Everyday Life
716:, a two-player upgraded version exists by the name
4157:Barry Sinervo on the 7th Avenue Project Radio Show
3649:. Bloomington, IN: Simon & Schuster. pp.
2451:
2363:
1787:
1739:
1691:
1643:
1595:
1507:
1480:
1432:
1384:
1336:
1288:
1240:
1090:
1045:
1000:
955:
5510:"EXCLUSIVE COVERAGE: Roshambo — The Rematch"
5224:"Rock Paper Scissors crowns a queen as its champ"
4793:
4504:
2533:
2531:
2208:
443:(虫拳), a version imported directly from China. In
7291:
5400:"Las Vegas's latest game: Rock, paper, scissors"
4002:
3985:"Original Rock-Paper-Scissors-Spock-Lizard Page"
3326:Dance, Gabriel & Jackson, Tom (2010-10-07).
2943:The Culture of Japan as Seen through Its Leisure
2319:, another hand game for deciding trivial matters
2259:
1999:
1869:Mechanical devices and geometrical constructions
1449:Oriented graph of Rock-Paper-Scissors-Fire-Water
737:variant of rock paper scissors is known as 野球拳 (
5992:. Rolling Stone Feature Article. Archived from
5887:The Official Rock Paper Scissors Strategy Guide
3646:The Official Rock paper Scissors Strategy Guide
3615:"How rock paper scissors is played around Asia"
3055:Poidevin, L. C. S. (1921-01-07). "Test Match".
2911:
2909:
2907:
2905:
2903:
774:Singapore also has a related hand-game called "
632:Children in Myanmar playing rock paper scissors
5810:
5724:
4126:
2934:
2528:
507:
6226:
6070:
5771:
5622:
5026:"2003 World Rock Paper Scissors Championship"
3844:; Palmer, Edgar M. (1973), "Formula 5.4.13",
3271:"Rock Paper Scissors Programming Competition"
3264:
3262:
3260:
3148:: Letter to the editor, from Miss F.C.Pringle
2497:
2495:
2223:, Indiana, United States, on 17 August 2014.
474:). In this game, a supernatural fox called a
5885:Walker, Douglas & Walker, Graham (2004)
3867:
3865:
3863:
3840:
3384:
3382:
3356:
3354:
3352:
2900:
2462:
624:Children in Laos playing rock paper scissors
594:words for "one, two, three" ("hi, fu, mi").
568:(1929), suggests it quickly became popular.
6018:Rock Paper Scissors Programming Competition
5370:"Master Rosh's Analysis of the Final Match"
5230:. Archived from the original on 8 July 2012
4593:"Exasperated judge resorts to child's game"
4184:: CS1 maint: numeric names: authors list (
3900:
3898:
3328:"Rock-Paper-Scissors: You vs. the Computer"
2846:Moore, Michael E.; Sward, Jennifer (2006).
2684:"Scissors, paper, stone - a strategic game"
1968:, he contacted two leading auction houses,
1952:, decided to auction off the collection of
1805:
246:
240:
168:, who allegedly played the game during the
6233:
6219:
6077:
6063:
4678:
3458:
3257:
2945:. New York: SUNY Press. pp. 325–326.
2492:
1925:
1146:of London and was later the subject of an
530:
53:
6240:
6023:Rock Paper Scissors online remote edition
6013:The World Rock Paper Scissors Association
5860:The Official Rock Paper Scissors Handbook
5828:
5685:Children's Games in Street and Playground
5486:. Poker Pages. 2005-06-14. Archived from
5321:. Examiner.ie. 2008-08-27. Archived from
4518:
4438:
4365:
4277:
4267:
3860:
3848:, New York: Academic Press, p. 133,
3825:
3449:, 20 March 2006. Retrieved 13 April 2007.
3379:
3349:
2875:
2873:
2871:
2869:
2867:
1992:Sotheby's said that they treated it as a
1812:Common side-blotched lizard § Mating
1800:
1119:Rock paper scissors lizard Spock gestures
5943:, and does not reflect subsequent edits.
5926:
5456:
5088:"Rock Paper Scissors contest being held"
4658:
3904:
3895:
3675:Kementerian Pendidikan dan Kebudayaan RI
3433:
3430:, 8 April 2007. Retrieved 13 April 2007.
3268:
3206:"La Vie au patronage". January 1927: 73.
3054:
2965:
2592:
2196:National XtremeRPS Competition 2007–2008
2106:
2076:Mario & Luigi: Bowser's Inside Story
2004:Prior to a 26 October 2018 match in the
1929:
1910:Avista Management v. Wausau Underwriters
1444:
1114:
690:
627:
619:
488:
409:
5811:Sinervo, Barry; Zamudio, K. R. (2001).
5691:
5264:"World RPS Society World Championships"
4736:
3954:
3288:
2996:
2940:
2915:
2879:
2681:
2561:
750:In the Philippines, the game is called
14:
7292:
5959:
5845:
5397:
5221:
4850:
4751:from the original on November 15, 2018
4620:
4573:from the original on 13 September 2017
4077:
3871:
3792:"FedEx Bear, Hunter, Ninja Commercial"
3642:
3478:
3294:
2864:
2394:
2361:
2023:
1891:
1123:One popular five-weapon expansion is "
6214:
6058:
5987:
5873:World Rock Paper Scissors Association
5174:
4992:
4804:. Taylor & Francis. p. 103.
4781:from the original on 27 December 2017
4771:"Chimps can play rock-paper-scissors"
4737:Theisen, Lauren (November 14, 2018).
4703:
3238:'New York Times', May 22, 1932 - The
3026:. Hawaii: University of Hawaii Press.
3021:
2920:. London: Routledge. pp. 38–41.
2767:
2724:from the original on 16 November 2023
2663:from the original on 16 November 2023
2624:
2501:
2280:hosts, they will win the cash prize.
2155:
2119:World Rock Paper Scissors Association
1886:
844:
5560:"WATCH: PH senators on 'Eat Bulaga'"
5376:. USARPS. 2005-06-28. Archived from
5350:from the original on 12 October 2014
5115:
3982:
3819:
3772:from the original on 16 October 2015
3484:
1982:Large Trees Under the Jas de Bouffan
1938:Large Trees Under the Jas de Bouffan
786:" refers to the stone gesture, and "
765:
379:also mentions this game, calling it
32:Rock paper scissors (disambiguation)
6148:Pat-a-cake, pat-a-cake, baker's man
6034:
5871:The Official Strategy Guide of the
5629:Behavioral Ecology and Sociobiology
3643:Walker, Douglas and Graham (2004).
3510:
3297:"How to win at rock–paper–scissors"
3194:The Campfire Girls Larks and Pranks
2744:"Scissors, Paper, Rock - Australia"
2429:"How to win at rock-paper-scissors"
2143:
581:The Campfire Girls Larks and Pranks
24:
6282:First-player and second-player win
5913:
5289:"Pub hosts UK 'rock' championship"
5118:"Rock, Paper, Scissors, the Sport"
4718:from the original on March 9, 2015
4659:Presnell, Gregory (June 7, 2006).
3441:"Rock, Paper, Scissors, the Sport"
2802:from the original on 1 August 2023
2694:from the original on 18 April 2016
2045:and single dominant type of unit.
2028:In Japan, researchers have taught
25:
7341:
5894:
5846:Sogawa, Tsuneo (2000). "Janken".
5507:
4040:
2848:Introduction to the game industry
2627:"It's not your dad's ick-ack-ock"
2549:from the original on June 9, 2021
2516:from the original on June 9, 2021
2127:World Rock Paper Scissors Society
2070:Mario & Luigi: Superstar Saga
1865:bacterial ecology and evolution.
1164:Rock-Paper-Scissors-Spock-Lizard;
892:"pierre, papier, ciseaux, puits";
821:In Indonesia, the game is called
686:Jack Em Popoy: The Puliscredibles
414:Mushi-ken, the earliest Japanese
232:, though this has been disputed.
27:Hand game for two players or more
6389:Coalition-proof Nash equilibrium
5925:
5581:
5552:
5527:
5501:
5476:
5450:
5421:
5391:
5362:
5336:
5311:
5094:. Associated Press. 2003-10-27.
5059:"Rock, Paper, Scissors A Sport?"
4599:. Associated Press. 2006-06-26.
2969:Introduction to Japanese culture
2502:Ferro, Shaunacy (May 18, 2016).
2290:
1896:In 2006, American federal judge
1158:rock-paper-scissors-lizard-Spock
1126:rock paper scissors Spock lizard
707:
294:
285:
276:
5600:from the original on 2017-05-06
5570:from the original on 2017-03-29
5465:from the original on 2009-06-21
5439:from the original on 2017-07-08
5410:from the original on 2014-12-07
5281:
5256:
5215:
5194:
5183:from the original on 2008-09-07
5168:
5139:
5128:from the original on 2012-10-21
5116:Park, Michael Y. (2006-03-20).
5109:
5098:from the original on 2006-06-14
5080:
5069:from the original on 2015-11-18
5051:
5040:from the original on 2006-09-16
5018:
5007:from the original on 2009-02-10
4995:"Fists fly in game of strategy"
4986:
4975:from the original on 2021-04-16
4961:
4950:from the original on 2021-06-18
4932:
4921:from the original on 2021-04-21
4903:
4892:from the original on 2021-04-21
4874:
4863:from the original on 2021-03-01
4844:
4818:
4763:
4730:
4704:Vogel, Carol (April 29, 2005).
4697:
4667:from the original on 2015-02-16
4652:
4641:from the original on 2017-05-10
4614:
4603:from the original on 2006-06-14
4585:
4559:
4498:
4455:
4406:
4345:
4294:
4243:
4192:
4167:from the original on 2011-04-24
4149:
4120:
4071:
4034:
3991:from the original on 2010-11-13
3976:
3965:from the original on 2017-04-07
3948:
3937:from the original on 2018-10-24
3923:
3884:from the original on 2020-07-28
3834:
3813:
3802:from the original on 2016-08-06
3784:
3758:
3728:
3702:
3685:(in Indonesian). Archived from
3667:
3636:
3607:
3596:from the original on 2014-02-21
3578:
3548:
3530:
3519:from the original on 2012-03-25
3504:
3493:from the original on 2012-03-25
3452:
3338:from the original on 2011-04-30
3319:
3307:from the original on 2 May 2014
3277:from the original on 2019-04-10
3252:Compton's Pictured Encyclopedia
3245:
3232:
3199:
3183:
3167:
3151:
3118:
3078:
3063:
3048:
3030:
3015:
2990:
2959:
2839:
2828:from the original on 2023-08-01
2814:
2782:
2761:
2750:from the original on 2023-08-01
2736:
2706:
2675:
2645:
2607:from the original on 2007-12-13
2481:from the original on 2015-07-14
2439:from the original on 6 May 2015
2226:
1519:Rock-Paper-Scissors-Fire-Water;
782:" refers to the bird gesture, "
644:that play rock paper scissors.
608:Compton's Pictured Encyclopedia
228:and "paper, scissors, rock" in
6399:Evolutionarily stable strategy
6084:
5960:Abrams, Michael (2004-07-05).
5587:
5204:. Stanley-paul.com. 2005-11-13
5175:Crick, Jennifer (2005-06-13).
4851:Betuel, Emma (5 August 2020).
4828:. 26 June 2017. Archived from
4016:. 11 June 2005. Archived from
3178:The Campfire Girls Go Motoring
3164:, Hodder and Stoughton, (1927)
3092:"The Times". 1 March 1924: 15.
2618:
2593:St. John, Kelly (2003-03-19).
2586:
2421:
2388:
2355:
2210:Guinness Book of World Records
2161:USA Rock Paper Scissors League
2102:
2035:
1788:{\displaystyle {\frac {1}{3}}}
1740:{\displaystyle {\frac {1}{3}}}
1692:{\displaystyle {\frac {1}{9}}}
1644:{\displaystyle {\frac {1}{9}}}
1596:{\displaystyle {\frac {1}{9}}}
1508:{\displaystyle {\frac {1}{3}}}
1481:{\displaystyle {\frac {1}{9}}}
1433:{\displaystyle {\frac {1}{5}}}
1385:{\displaystyle {\frac {1}{5}}}
1337:{\displaystyle {\frac {1}{5}}}
1289:{\displaystyle {\frac {1}{5}}}
1241:{\displaystyle {\frac {1}{5}}}
1091:{\displaystyle {\frac {1}{3}}}
1046:{\displaystyle {\frac {1}{3}}}
1001:{\displaystyle {\frac {1}{3}}}
882:pierre, papier, ciseaux, puits
577:The Campfire Girls Go Motoring
13:
1:
6327:Simultaneous action selection
5590:"Happily resettled back home"
5457:Caldwell, John (2005-06-15).
5398:Friess, Steven (2007-05-14).
5295:. 28 May 2009. Archived from
4993:Hruby, Patrick (2004-12-10).
3125:"The Times". 6 March 1924: 8.
2682:Tomkins, Steve (6 May 2005).
2343:
2333:Simultaneous action selection
2235:host and USARPS Head Referee
2095:The "Card-Jitsu" minigame in
2000:FA Women's Super League match
679:
655:
615:
360:
216:, "rock, paper, scissors" in
7264:List of games in game theory
6439:Quantal response equilibrium
6429:Perfect Bayesian equilibrium
6364:Bayes correlated equilibrium
5681:Opie, Iona & Opie, Peter
5512:. Pokerworks. Archived from
5153:. 2005-11-13. Archived from
4096:10.1007/978-3-642-10291-2_48
3959:"Rock Paper Scissors Graphs"
3621:. 2019-07-29. Archived from
3392:. 2001-03-20. Archived from
3364:. 1999-10-01. Archived from
3295:Morgan, James (2 May 2014).
3196:, A. L. Burt Company, (1917)
3180:, A. L. Burt Company, (1916)
2972:. Rutland: Tuttle. pp.
2918:Ceremony and Ritual in Japan
2768:Hicks, Stacey (2022-10-24).
2625:Wells, Steven (2006-11-24).
156:
7:
6733:Optional prisoner's dilemma
6459:Self-confirming equilibrium
4621:Liptak, Adam (2006-06-09).
2463:長田須磨・須山名保子共編 (April 1977).
2283:
1827:
1818:common side-blotched lizard
267:
10:
7346:
7198:Principal variation search
6914:Aumann's agreement theorem
6577:Strategy-stealing argument
6484:Trembling hand equilibrium
6414:Markov perfect equilibrium
6409:Mertens-stable equilibrium
5177:"HAND JIVE - 13 June 2005"
4537:10.1103/PhysRevE.84.021912
4384:10.1103/PhysRevE.85.011914
3909:. Routledge. p. 340.
3679:"Tahukah, #SahabatDikbud?"
3461:"Iocaine Powder Explained"
3001:. Tokyo: shoten Kadokawa.
2882:Senri Ethnological Studies
2051:Alex Kidd in Miracle World
1902:Middle District of Florida
1809:
683:
323:
318:
170:American Revolutionary War
109:
36:
29:
7234:Combinatorial game theory
7221:
7180:
6962:
6906:
6893:Princess and monster game
6688:
6590:
6492:
6444:Quasi-perfect equilibrium
6369:Bayesian Nash equilibrium
6350:
6249:
6187:
6161:
6118:
6092:
5988:Hegan, Ken (2004-01-07).
5248:: CS1 maint: unfit URL (
4690:January 27, 2008, at the
3907:Game Theory and Exercises
3905:Umbhauer, Gisèle (2016).
3459:Egnor, Dan (1999-10-01).
3022:Ogawa, Dennis M. (1978).
2966:Sosnoski, Daniel (2001).
1940:sold for $ 11,776,000 at
1750:
1702:
1654:
1606:
1558:
1459:mixed strategy equilibria
1395:
1347:
1299:
1251:
1203:
1056:
1011:
966:
928:
884:(stone, paper, scissors,
508:
95:
87:
79:
71:
61:
52:
7330:Game theory game classes
7249:Evolutionary game theory
6982:Antoine Augustin Cournot
6868:Guess 2/3 of the average
6665:Strictly determined game
6454:Satisfaction equilibrium
6272:Escalation of commitment
5696:. 112–113 (1): 417–434.
5484:"WSOP Schedule Whiplash"
4269:10.1186/1471-2180-12-178
4161:"The Games Lizards Play"
4010:"... and paper scissors"
2233:Celebrity Poker Showdown
2018:The Football Association
1806:Lizard mating strategies
439:in Japan was apparently
179:
7254:Glossary of game theory
6853:Stackelberg competition
6474:Strong Nash equilibrium
5962:"Throwing for The Gold"
5830:10.1093/jhered/92.2.198
5749:10.1126/science.1083109
5702:10.1023/A:1013360426789
4464:The American Naturalist
4030:(subscription required)
3956:Bettencourt, Rebecca G.
3872:Tagiew, Rustam (2009).
3560:The University of Tokyo
3240:New York Times Magazine
2600:San Francisco Chronicle
2469:. Tokyo: Kasama shoin.
2403:. Basic Books. p.
2370:. Basic Books. p.
2313:, the binary equivalent
2006:FA Women's Super League
1926:Auction house selection
1551:
1455:game-theoretic analysis
1196:
1150:of the American sitcom
921:
531:Spread beyond East Asia
7279:Tragedy of the commons
7259:List of game theorists
7239:Confrontation analysis
6949:Sprague–Grundy theorem
6464:Sequential equilibrium
6384:Correlated equilibrium
5921:
5901:Listen to this article
5858:Baldwin, Wyatt (2017)
5663:Culin, Stewart (1895)
4431:10.1098/rspb.2012.0942
3427:Lawrence Journal-World
3219:Cite journal requires
3138:Cite journal requires
3105:Cite journal requires
2997:Linhart, Sepp (1998).
2306:Chopsticks (hand game)
2112:
1945:
1923:
1801:Analogues in real life
1789:
1741:
1693:
1645:
1597:
1509:
1482:
1450:
1434:
1386:
1338:
1290:
1242:
1120:
1092:
1047:
1002:
957:
700:
633:
625:
603:trick-taking card game
497:Today, the best-known
494:
419:
242:pēpa, kutikuti, kōhatu
241:
7325:Sampling (statistics)
7052:Jean-François Mertens
6037:"Rock Paper Scissors"
5920:
5649:10.1007/s002650000265
5034:National Public Radio
5030:All Things Considered
3846:Graphical Enumeration
3736:"Ninja, Hunter, Bear"
3544:. London. 2012-06-27.
3057:Sydney Morning Herald
2539:"Rock Paper Scissors"
2241:World Series of Poker
2110:
1933:
1914:
1790:
1742:
1694:
1646:
1598:
1510:
1483:
1448:
1435:
1387:
1339:
1291:
1243:
1118:
1093:
1048:
1003:
958:
694:
631:
623:
566:Stone Blunts Scissors
546:Sydney Morning Herald
539:A 1921 article about
519:century, between the
492:
413:
256:paper, scissors, rock
7181:Search optimizations
7057:Jennifer Tour Chayes
6944:Revelation principle
6939:Purification theorem
6878:Nash bargaining game
6843:Bertrand competition
6828:El Farol Bar problem
6793:Electronic mail game
6758:Lewis signaling game
6297:Hierarchy of beliefs
6138:Miss Lucy had a baby
5952:More spoken articles
5000:The Washington Times
3070:"Chinese Gambling".
2395:Fisher, Len (2008).
2362:Fisher, Len (2008).
1772:
1724:
1676:
1628:
1580:
1492:
1465:
1417:
1369:
1321:
1273:
1225:
1075:
1030:
985:
947:
922:Optimal strategy for
208:scissors, shoot!").
30:For other uses, see
7300:Rock paper scissors
7229:Bounded rationality
6848:Cournot competition
6798:Rock paper scissors
6773:Battle of the sexes
6763:Volunteer's dilemma
6635:Perfect information
6562:Dominant strategies
6394:Epsilon-equilibrium
6277:Extensive-form game
6200:Rock paper scissors
5972:FYI. Archived from
5817:Journal of Heredity
5788:1996Natur.380..240S
5741:2003Sci...300.1949S
5735:(5627): 1949–1951.
5671:Gomme, Alice Bertha
5641:2001BEcoS..49..176A
5270:on 16 November 2018
4529:2011PhRvE..84b1912J
4425:(1743): 3706–3715.
4376:2012PhRvE..85a1914A
4323:10.1038/nature02429
4315:2004Natur.428..412K
4221:10.1038/nature00823
4213:2002Natur.418..171K
4088:2009LNCS.5883..476T
3880:(ICAART): 587–590.
3798:. 4 December 2006.
3746:on 23 December 2014
3485:dllu (2011-06-14).
3162:Scissors Cuts Paper
2543:teachinghistory.org
2024:Play by chimpanzees
1892:American court case
1838:Stanford University
1522:
1167:
1153:The Big Bang Theory
895:
754:(from the Japanese
670:University of Tokyo
638:uniformly at random
588:La Vie au patronage
106:Rock paper scissors
49:
48:Rock paper scissors
18:Rock-paper-scissors
7208:Paranoid algorithm
7188:Alpha–beta pruning
7067:John Maynard Smith
6898:Rendezvous problem
6738:Traveler's dilemma
6728:Gift-exchange game
6723:Prisoner's dilemma
6640:Large Poisson game
6607:Bargaining problem
6507:Backward induction
6479:Subgame perfection
6434:Proper equilibrium
6153:Pease Porridge Hot
6028:2020-12-17 at the
5922:
5878:2018-01-15 at the
5865:2020-07-28 at the
4711:The New York Times
4627:The New York Times
3716:. 16 November 2010
3566:on 12 January 2018
3511:rfw (2011-05-22).
3420:2007-04-28 at the
3332:The New York Times
3042:2020-07-28 at the
2249:Bad Beat on Cancer
2156:USARPS tournaments
2113:
1972:International and
1946:
1887:Instances of usage
1785:
1737:
1689:
1641:
1593:
1518:
1505:
1478:
1451:
1430:
1382:
1334:
1286:
1238:
1163:
1121:
1088:
1043:
998:
953:
891:
845:Additional weapons
701:
634:
626:
562:Scissors Cut Paper
495:
466:game in Japan was
450:Chinese characters
420:
377:Note of Liuyanzhai
47:
7287:
7286:
7193:Aspiration window
7162:Suzanne Scotchmer
7117:Oskar Morgenstern
7012:Donald B. Gillies
6954:Zermelo's theorem
6883:Induction puzzles
6838:Fair cake-cutting
6813:Public goods game
6743:Coordination game
6617:Intransitive game
6542:Forward induction
6424:Pareto efficiency
6404:Gibbs equilibrium
6374:Berge equilibrium
6322:Simultaneous game
6208:
6207:
6035:Jenkins, Jolyon.
5918:
5782:(6571): 240–243.
5179:. Money.cnn.com.
5151:World RPS society
4811:978-0-415-97721-0
4597:The Seattle Times
4507:Physical Review E
4354:Physical Review E
4309:(6981): 412–414.
4207:(6894): 171–174.
4105:978-3-642-10290-5
3916:978-1-3173-6299-9
3439:Michael Y. Park,
3190:Hildegard G. Frey
3174:Hildegard G. Frey
3074:: 28. 1921-08-28.
3072:Washington Herald
2857:978-0-13-168743-1
2795:Radio New Zealand
2323:Intransitive dice
2182:on 12 June 2006.
2089:Super Smash Bros.
2043:dominant strategy
1873:In the televised
1852:, were active as
1798:
1797:
1783:
1735:
1687:
1639:
1591:
1503:
1476:
1443:
1442:
1428:
1380:
1332:
1284:
1236:
1101:
1100:
1086:
1041:
996:
956:{\displaystyle 0}
766:Different weapons
552:Washington Herald
462:The most popular
239:, it is known as
226:Western Australia
103:
102:
16:(Redirected from
7337:
7305:Children's games
7274:Topological game
7269:No-win situation
7167:Thomas Schelling
7147:Robert B. Wilson
7107:Merrill M. Flood
7077:John von Neumann
6987:Ariel Rubinstein
6972:Albert W. Tucker
6823:War of attrition
6783:Matching pennies
6557:Pairing strategy
6419:Nash equilibrium
6342:Mechanism design
6307:Normal-form game
6262:Cooperative game
6235:
6228:
6221:
6212:
6211:
6079:
6072:
6065:
6056:
6055:
6051:
6049:
6048:
6004:
6002:
6001:
5984:
5982:
5981:
5942:
5940:
5929:
5928:
5919:
5909:
5907:
5902:
5855:
5842:
5832:
5807:
5796:10.1038/380240a0
5768:
5721:
5660:
5635:(2–3): 176–186.
5625:Uta stansburiana
5609:
5608:
5606:
5605:
5585:
5579:
5578:
5576:
5575:
5556:
5550:
5549:
5547:
5546:
5537:. Archived from
5531:
5525:
5524:
5522:
5521:
5508:Craig, Michael.
5505:
5499:
5498:
5496:
5495:
5480:
5474:
5473:
5471:
5470:
5454:
5448:
5447:
5445:
5444:
5429:"Where's Annie?"
5425:
5419:
5418:
5416:
5415:
5395:
5389:
5388:
5386:
5385:
5366:
5360:
5359:
5357:
5355:
5340:
5334:
5333:
5331:
5330:
5315:
5309:
5308:
5306:
5304:
5285:
5279:
5278:
5276:
5275:
5266:. Archived from
5260:
5254:
5253:
5247:
5239:
5237:
5235:
5219:
5213:
5212:
5210:
5209:
5198:
5192:
5191:
5189:
5188:
5172:
5166:
5165:
5163:
5162:
5143:
5137:
5136:
5134:
5133:
5113:
5107:
5106:
5104:
5103:
5084:
5078:
5077:
5075:
5074:
5055:
5049:
5048:
5046:
5045:
5022:
5016:
5015:
5013:
5012:
4990:
4984:
4983:
4981:
4980:
4965:
4959:
4958:
4956:
4955:
4936:
4930:
4929:
4927:
4926:
4907:
4901:
4900:
4898:
4897:
4882:"Playing to Win"
4878:
4872:
4871:
4869:
4868:
4848:
4842:
4841:
4839:
4837:
4822:
4816:
4815:
4797:
4791:
4790:
4788:
4786:
4767:
4761:
4760:
4758:
4756:
4734:
4728:
4727:
4725:
4723:
4701:
4695:
4682:
4676:
4675:
4673:
4672:
4656:
4650:
4649:
4647:
4646:
4618:
4612:
4611:
4609:
4608:
4589:
4583:
4582:
4580:
4578:
4569:. 19 June 2013.
4563:
4557:
4556:
4522:
4502:
4496:
4495:
4470:(6): E162–E173.
4459:
4453:
4452:
4442:
4410:
4404:
4403:
4369:
4349:
4343:
4342:
4298:
4292:
4291:
4281:
4271:
4256:BMC Microbiology
4247:
4241:
4240:
4196:
4190:
4189:
4183:
4175:
4173:
4172:
4153:
4147:
4146:
4144:
4143:
4134:. Archived from
4124:
4118:
4117:
4075:
4069:
4068:
4066:
4064:
4058:
4052:. Archived from
4038:
4032:
4031:
4028:
4026:
4025:
4006:
4000:
3999:
3997:
3996:
3980:
3974:
3973:
3971:
3970:
3952:
3946:
3945:
3943:
3942:
3927:
3921:
3920:
3902:
3893:
3892:
3890:
3889:
3869:
3858:
3856:
3838:
3832:
3831:
3829:
3817:
3811:
3810:
3808:
3807:
3788:
3782:
3781:
3779:
3777:
3768:. 4 April 2008.
3762:
3756:
3755:
3753:
3751:
3742:. Archived from
3732:
3726:
3725:
3723:
3721:
3706:
3700:
3699:
3697:
3696:
3690:
3671:
3665:
3664:
3640:
3634:
3633:
3631:
3630:
3611:
3605:
3604:
3602:
3601:
3582:
3576:
3575:
3573:
3571:
3562:. Archived from
3552:
3546:
3545:
3534:
3528:
3527:
3525:
3524:
3508:
3502:
3501:
3499:
3498:
3482:
3476:
3475:
3473:
3472:
3463:. Archived from
3456:
3450:
3437:
3431:
3413:Steve Vockrodt,
3411:
3405:
3404:
3402:
3401:
3386:
3377:
3376:
3374:
3373:
3358:
3347:
3346:
3344:
3343:
3323:
3317:
3316:
3314:
3312:
3292:
3286:
3285:
3283:
3282:
3266:
3255:
3249:
3243:
3236:
3230:
3228:
3222:
3217:
3215:
3207:
3203:
3197:
3187:
3181:
3171:
3165:
3155:
3149:
3147:
3141:
3136:
3134:
3126:
3122:
3116:
3114:
3108:
3103:
3101:
3093:
3082:
3076:
3075:
3067:
3061:
3060:
3052:
3046:
3034:
3028:
3027:
3019:
3013:
3012:
2994:
2988:
2987:
2963:
2957:
2956:
2938:
2932:
2931:
2913:
2898:
2897:
2877:
2862:
2861:
2843:
2837:
2836:
2834:
2833:
2818:
2812:
2811:
2809:
2807:
2786:
2780:
2779:
2765:
2759:
2758:
2756:
2755:
2740:
2734:
2733:
2731:
2729:
2710:
2704:
2703:
2701:
2699:
2679:
2673:
2672:
2670:
2668:
2649:
2643:
2642:
2640:
2639:
2622:
2616:
2615:
2613:
2612:
2590:
2584:
2583:
2581:
2580:
2571:. Archived from
2565:
2559:
2558:
2556:
2554:
2535:
2526:
2525:
2523:
2521:
2499:
2490:
2489:
2487:
2486:
2460:
2449:
2448:
2446:
2444:
2425:
2419:
2418:
2402:
2392:
2386:
2385:
2369:
2359:
2311:Matching pennies
2300:
2295:
2294:
2203:Des Moines, Iowa
2163:is sponsored by
2144:UK championships
2136:(later known as
1966:Vincent van Gogh
1898:Gregory Presnell
1854:Escherichia coli
1842:Brendan Bohannan
1822:Uta stansburiana
1794:
1792:
1791:
1786:
1784:
1776:
1746:
1744:
1743:
1738:
1736:
1728:
1698:
1696:
1695:
1690:
1688:
1680:
1650:
1648:
1647:
1642:
1640:
1632:
1602:
1600:
1599:
1594:
1592:
1584:
1552:Optimal strategy
1523:
1517:
1514:
1512:
1511:
1506:
1504:
1496:
1488:of the time and
1487:
1485:
1484:
1479:
1477:
1469:
1439:
1437:
1436:
1431:
1429:
1421:
1391:
1389:
1388:
1383:
1381:
1373:
1343:
1341:
1340:
1335:
1333:
1325:
1295:
1293:
1292:
1287:
1285:
1277:
1247:
1245:
1244:
1239:
1237:
1229:
1197:Optimal strategy
1168:
1162:
1128:
1127:
1097:
1095:
1094:
1089:
1087:
1079:
1052:
1050:
1049:
1044:
1042:
1034:
1007:
1005:
1004:
999:
997:
989:
962:
960:
959:
954:
896:
890:
880:The French game
871:
513:
511:
510:
362:
359:
355:
339:
298:
289:
280:
260:
257:
254:
251:
248:
244:
166:Count Rochambeau
57:
50:
46:
21:
7345:
7344:
7340:
7339:
7338:
7336:
7335:
7334:
7310:Games of chance
7290:
7289:
7288:
7283:
7217:
7203:max^n algorithm
7176:
7172:William Vickrey
7132:Reinhard Selten
7087:Kenneth Binmore
7002:David K. Levine
6997:Daniel Kahneman
6964:
6958:
6934:Negamax theorem
6924:Minimax theorem
6902:
6863:Diner's dilemma
6718:All-pay auction
6684:
6670:Stochastic game
6622:Mean-field game
6593:
6586:
6552:Markov strategy
6488:
6354:
6346:
6317:Sequential game
6302:Information set
6287:Game complexity
6257:Congestion game
6245:
6239:
6209:
6204:
6183:
6162:Finger-counting
6157:
6114:
6088:
6083:
6046:
6044:
6030:Wayback Machine
5999:
5997:
5979:
5977:
5956:
5955:
5944:
5938:
5936:
5933:This audio file
5930:
5923:
5914:
5911:
5905:
5904:
5900:
5897:
5892:
5880:Wayback Machine
5867:Wayback Machine
5850:(in Japanese).
5613:
5612:
5603:
5601:
5586:
5582:
5573:
5571:
5558:
5557:
5553:
5544:
5542:
5533:
5532:
5528:
5519:
5517:
5506:
5502:
5493:
5491:
5482:
5481:
5477:
5468:
5466:
5455:
5451:
5442:
5440:
5427:
5426:
5422:
5413:
5411:
5396:
5392:
5383:
5381:
5368:
5367:
5363:
5353:
5351:
5342:
5341:
5337:
5328:
5326:
5317:
5316:
5312:
5302:
5300:
5287:
5286:
5282:
5273:
5271:
5262:
5261:
5257:
5241:
5240:
5233:
5231:
5220:
5216:
5207:
5205:
5200:
5199:
5195:
5186:
5184:
5173:
5169:
5160:
5158:
5145:
5144:
5140:
5131:
5129:
5114:
5110:
5101:
5099:
5086:
5085:
5081:
5072:
5070:
5057:
5056:
5052:
5043:
5041:
5024:
5023:
5019:
5010:
5008:
4991:
4987:
4978:
4976:
4967:
4966:
4962:
4953:
4951:
4938:
4937:
4933:
4924:
4922:
4909:
4908:
4904:
4895:
4893:
4880:
4879:
4875:
4866:
4864:
4849:
4845:
4835:
4833:
4832:on 4 March 2018
4824:
4823:
4819:
4812:
4798:
4794:
4784:
4782:
4769:
4768:
4764:
4754:
4752:
4735:
4731:
4721:
4719:
4702:
4698:
4692:Wayback Machine
4683:
4679:
4670:
4668:
4657:
4653:
4644:
4642:
4619:
4615:
4606:
4604:
4591:
4590:
4586:
4576:
4574:
4565:
4564:
4560:
4503:
4499:
4460:
4456:
4411:
4407:
4350:
4346:
4299:
4295:
4248:
4244:
4197:
4193:
4177:
4176:
4170:
4168:
4154:
4150:
4141:
4139:
4125:
4121:
4106:
4076:
4072:
4062:
4060:
4059:on 30 July 2018
4056:
4039:
4035:
4029:
4023:
4021:
4008:
4007:
4003:
3994:
3992:
3981:
3977:
3968:
3966:
3953:
3949:
3940:
3938:
3929:
3928:
3924:
3917:
3903:
3896:
3887:
3885:
3870:
3861:
3839:
3835:
3818:
3814:
3805:
3803:
3790:
3789:
3785:
3775:
3773:
3764:
3763:
3759:
3749:
3747:
3734:
3733:
3729:
3719:
3717:
3708:
3707:
3703:
3694:
3692:
3672:
3668:
3661:
3641:
3637:
3628:
3626:
3613:
3612:
3608:
3599:
3597:
3584:
3583:
3579:
3569:
3567:
3554:
3553:
3549:
3536:
3535:
3531:
3522:
3520:
3509:
3505:
3496:
3494:
3483:
3479:
3470:
3468:
3457:
3453:
3438:
3434:
3422:Wayback Machine
3412:
3408:
3399:
3397:
3388:
3387:
3380:
3371:
3369:
3360:
3359:
3350:
3341:
3339:
3324:
3320:
3310:
3308:
3293:
3289:
3280:
3278:
3267:
3258:
3250:
3246:
3237:
3233:
3220:
3218:
3209:
3208:
3205:
3204:
3200:
3188:
3184:
3172:
3168:
3156:
3152:
3139:
3137:
3128:
3127:
3124:
3123:
3119:
3106:
3104:
3095:
3094:
3091:
3083:
3079:
3069:
3068:
3064:
3053:
3049:
3044:Wayback Machine
3035:
3031:
3020:
3016:
3009:
2999:Ken no bunkashi
2995:
2991:
2984:
2964:
2960:
2953:
2939:
2935:
2928:
2914:
2901:
2878:
2865:
2858:
2844:
2840:
2831:
2829:
2820:
2819:
2815:
2805:
2803:
2798:. 14 May 2022.
2788:
2787:
2783:
2766:
2762:
2753:
2751:
2742:
2741:
2737:
2727:
2725:
2718:www.wikihow.com
2712:
2711:
2707:
2697:
2695:
2688:news.bbc.co.uk/
2680:
2676:
2666:
2664:
2659:. 17 May 2023.
2651:
2650:
2646:
2637:
2635:
2623:
2619:
2610:
2608:
2591:
2587:
2578:
2576:
2567:
2566:
2562:
2552:
2550:
2537:
2536:
2529:
2519:
2517:
2500:
2493:
2484:
2482:
2461:
2452:
2442:
2440:
2427:
2426:
2422:
2415:
2393:
2389:
2382:
2360:
2356:
2346:
2296:
2289:
2286:
2268:
2251:. Poker player
2245:WSOP Main Event
2229:
2213:
2198:
2180:A&E Network
2158:
2146:
2129:
2121:
2105:
2038:
2026:
2002:
1928:
1894:
1889:
1871:
1830:
1814:
1808:
1803:
1775:
1773:
1770:
1769:
1727:
1725:
1722:
1721:
1679:
1677:
1674:
1673:
1631:
1629:
1626:
1625:
1583:
1581:
1578:
1577:
1554:for row player
1553:
1534:
1532:
1530:
1528:
1520:
1495:
1493:
1490:
1489:
1468:
1466:
1463:
1462:
1420:
1418:
1415:
1414:
1372:
1370:
1367:
1366:
1324:
1322:
1319:
1318:
1276:
1274:
1271:
1270:
1228:
1226:
1223:
1222:
1199:for row player
1198:
1179:
1177:
1175:
1173:
1165:
1125:
1124:
1078:
1076:
1073:
1072:
1033:
1031:
1028:
1027:
988:
986:
983:
982:
948:
945:
944:
924:the row player
923:
907:
905:
903:
901:
893:
867:
847:
810:" (scissors), "
768:
710:
689:
682:
658:
618:
533:
505:
349:
333:
326:
321:
308:
307:
306:
305:
301:
300:
299:
291:
290:
282:
281:
270:
258:
255:
252:
249:
222:South Australia
214:New South Wales
182:
159:
45:
35:
28:
23:
22:
15:
12:
11:
5:
7343:
7333:
7332:
7327:
7322:
7317:
7312:
7307:
7302:
7285:
7284:
7282:
7281:
7276:
7271:
7266:
7261:
7256:
7251:
7246:
7241:
7236:
7231:
7225:
7223:
7219:
7218:
7216:
7215:
7210:
7205:
7200:
7195:
7190:
7184:
7182:
7178:
7177:
7175:
7174:
7169:
7164:
7159:
7154:
7149:
7144:
7139:
7137:Robert Axelrod
7134:
7129:
7124:
7119:
7114:
7112:Olga Bondareva
7109:
7104:
7102:Melvin Dresher
7099:
7094:
7092:Leonid Hurwicz
7089:
7084:
7079:
7074:
7069:
7064:
7059:
7054:
7049:
7044:
7039:
7034:
7029:
7027:Harold W. Kuhn
7024:
7019:
7017:Drew Fudenberg
7014:
7009:
7007:David M. Kreps
7004:
6999:
6994:
6992:Claude Shannon
6989:
6984:
6979:
6974:
6968:
6966:
6960:
6959:
6957:
6956:
6951:
6946:
6941:
6936:
6931:
6929:Nash's theorem
6926:
6921:
6916:
6910:
6908:
6904:
6903:
6901:
6900:
6895:
6890:
6885:
6880:
6875:
6870:
6865:
6860:
6855:
6850:
6845:
6840:
6835:
6830:
6825:
6820:
6815:
6810:
6805:
6800:
6795:
6790:
6788:Ultimatum game
6785:
6780:
6775:
6770:
6768:Dollar auction
6765:
6760:
6755:
6753:Centipede game
6750:
6745:
6740:
6735:
6730:
6725:
6720:
6715:
6710:
6708:Infinite chess
6705:
6700:
6694:
6692:
6686:
6685:
6683:
6682:
6677:
6675:Symmetric game
6672:
6667:
6662:
6660:Signaling game
6657:
6655:Screening game
6652:
6647:
6645:Potential game
6642:
6637:
6632:
6624:
6619:
6614:
6609:
6604:
6598:
6596:
6588:
6587:
6585:
6584:
6579:
6574:
6572:Mixed strategy
6569:
6564:
6559:
6554:
6549:
6544:
6539:
6534:
6529:
6524:
6519:
6514:
6509:
6504:
6498:
6496:
6490:
6489:
6487:
6486:
6481:
6476:
6471:
6466:
6461:
6456:
6451:
6449:Risk dominance
6446:
6441:
6436:
6431:
6426:
6421:
6416:
6411:
6406:
6401:
6396:
6391:
6386:
6381:
6376:
6371:
6366:
6360:
6358:
6348:
6347:
6345:
6344:
6339:
6334:
6329:
6324:
6319:
6314:
6309:
6304:
6299:
6294:
6292:Graphical game
6289:
6284:
6279:
6274:
6269:
6264:
6259:
6253:
6251:
6247:
6246:
6238:
6237:
6230:
6223:
6215:
6206:
6205:
6203:
6202:
6197:
6191:
6189:
6185:
6184:
6182:
6181:
6179:Odds and evens
6176:
6171:
6165:
6163:
6159:
6158:
6156:
6155:
6150:
6145:
6140:
6135:
6130:
6128:Down Down Baby
6124:
6122:
6120:Clapping games
6116:
6115:
6113:
6112:
6107:
6102:
6096:
6094:
6090:
6089:
6082:
6081:
6074:
6067:
6059:
6053:
6052:
6032:
6020:
6015:
6010:
6005:
5985:
5945:
5931:
5924:
5912:
5899:
5898:
5896:
5895:External links
5893:
5891:
5890:
5883:
5856:
5848:Monthly Sinica
5843:
5823:(2): 198–205.
5808:
5769:
5722:
5689:
5678:
5668:
5661:
5619:
5611:
5610:
5580:
5551:
5526:
5500:
5475:
5461:. Poker News.
5449:
5435:. 2006-08-05.
5420:
5390:
5374:USARPS Leagues
5361:
5335:
5310:
5299:on 31 May 2009
5280:
5255:
5214:
5193:
5167:
5138:
5108:
5079:
5065:. 2003-10-23.
5050:
5036:. 2003-10-24.
5017:
4985:
4971:. 2016-08-04.
4960:
4931:
4917:. 2021-02-09.
4902:
4888:. 2021-01-08.
4873:
4843:
4817:
4810:
4792:
4762:
4729:
4696:
4677:
4651:
4613:
4584:
4558:
4497:
4476:10.1086/662668
4454:
4405:
4344:
4293:
4242:
4191:
4148:
4130:(2001-02-20).
4128:Sinervo, Barry
4119:
4104:
4070:
4033:
4020:on 31 May 2010
4001:
3975:
3947:
3922:
3915:
3894:
3859:
3833:
3812:
3783:
3757:
3727:
3701:
3677:(2020-03-10).
3666:
3659:
3635:
3606:
3592:. 2011-06-25.
3577:
3547:
3529:
3503:
3477:
3451:
3432:
3406:
3378:
3348:
3318:
3287:
3269:Knoll, Byron.
3256:
3244:
3231:
3221:|journal=
3198:
3182:
3166:
3158:Gerard Fairlie
3150:
3140:|journal=
3117:
3107:|journal=
3077:
3062:
3047:
3029:
3014:
3007:
2989:
2982:
2958:
2951:
2933:
2926:
2899:
2863:
2856:
2838:
2813:
2781:
2760:
2735:
2705:
2674:
2644:
2617:
2585:
2560:
2527:
2491:
2450:
2435:. 2 May 2014.
2420:
2413:
2387:
2380:
2353:
2352:
2345:
2342:
2341:
2340:
2338:Mixed strategy
2335:
2330:
2325:
2320:
2314:
2308:
2302:
2301:
2285:
2282:
2267:
2261:Jackpot En Poy
2258:
2228:
2225:
2212:
2207:
2197:
2194:
2176:House of Blues
2157:
2154:
2145:
2142:
2134:Fox Sports Net
2128:
2125:
2120:
2117:
2104:
2101:
2037:
2034:
2025:
2022:
2001:
1998:
1994:game of chance
1927:
1924:
1893:
1890:
1888:
1885:
1870:
1867:
1829:
1826:
1810:Main article:
1807:
1804:
1802:
1799:
1796:
1795:
1782:
1779:
1767:
1764:
1761:
1758:
1755:
1752:
1748:
1747:
1734:
1731:
1719:
1716:
1713:
1710:
1707:
1704:
1700:
1699:
1686:
1683:
1671:
1668:
1665:
1662:
1659:
1656:
1652:
1651:
1638:
1635:
1623:
1620:
1617:
1614:
1611:
1608:
1604:
1603:
1590:
1587:
1575:
1572:
1569:
1566:
1563:
1560:
1556:
1555:
1550:
1547:
1544:
1541:
1538:
1535:
1529:
1526:
1502:
1499:
1475:
1472:
1441:
1440:
1427:
1424:
1412:
1409:
1406:
1403:
1400:
1397:
1393:
1392:
1379:
1376:
1364:
1361:
1358:
1355:
1352:
1349:
1345:
1344:
1331:
1328:
1316:
1313:
1310:
1307:
1304:
1301:
1297:
1296:
1283:
1280:
1268:
1265:
1262:
1259:
1256:
1253:
1249:
1248:
1235:
1232:
1220:
1217:
1214:
1211:
1208:
1205:
1201:
1200:
1195:
1192:
1189:
1186:
1183:
1180:
1174:
1171:
1099:
1098:
1085:
1082:
1070:
1067:
1064:
1061:
1058:
1054:
1053:
1040:
1037:
1025:
1022:
1019:
1016:
1013:
1009:
1008:
995:
992:
980:
977:
974:
971:
968:
964:
963:
952:
942:
939:
936:
933:
930:
926:
925:
920:
917:
914:
911:
908:
902:
899:
878:
877:
851:oriented graph
846:
843:
814:" (rock) and "
767:
764:
745:Soft On Demand
709:
706:
697:Kikukawa Eizan
681:
678:
657:
654:
617:
614:
599:New York Times
573:Campfire Girls
564:, followed by
532:
529:
325:
322:
320:
317:
303:
302:
293:
292:
284:
283:
275:
274:
273:
272:
271:
269:
266:
181:
178:
158:
155:
145:, or throwing
143:drawing straws
101:
100:
97:
93:
92:
89:
85:
84:
81:
77:
76:
73:
69:
68:
63:
59:
58:
26:
9:
6:
4:
3:
2:
7342:
7331:
7328:
7326:
7323:
7321:
7320:Chinese games
7318:
7316:
7313:
7311:
7308:
7306:
7303:
7301:
7298:
7297:
7295:
7280:
7277:
7275:
7272:
7270:
7267:
7265:
7262:
7260:
7257:
7255:
7252:
7250:
7247:
7245:
7242:
7240:
7237:
7235:
7232:
7230:
7227:
7226:
7224:
7222:Miscellaneous
7220:
7214:
7211:
7209:
7206:
7204:
7201:
7199:
7196:
7194:
7191:
7189:
7186:
7185:
7183:
7179:
7173:
7170:
7168:
7165:
7163:
7160:
7158:
7157:Samuel Bowles
7155:
7153:
7152:Roger Myerson
7150:
7148:
7145:
7143:
7142:Robert Aumann
7140:
7138:
7135:
7133:
7130:
7128:
7125:
7123:
7120:
7118:
7115:
7113:
7110:
7108:
7105:
7103:
7100:
7098:
7097:Lloyd Shapley
7095:
7093:
7090:
7088:
7085:
7083:
7082:Kenneth Arrow
7080:
7078:
7075:
7073:
7070:
7068:
7065:
7063:
7062:John Harsanyi
7060:
7058:
7055:
7053:
7050:
7048:
7045:
7043:
7040:
7038:
7035:
7033:
7032:Herbert Simon
7030:
7028:
7025:
7023:
7020:
7018:
7015:
7013:
7010:
7008:
7005:
7003:
7000:
6998:
6995:
6993:
6990:
6988:
6985:
6983:
6980:
6978:
6975:
6973:
6970:
6969:
6967:
6961:
6955:
6952:
6950:
6947:
6945:
6942:
6940:
6937:
6935:
6932:
6930:
6927:
6925:
6922:
6920:
6917:
6915:
6912:
6911:
6909:
6905:
6899:
6896:
6894:
6891:
6889:
6886:
6884:
6881:
6879:
6876:
6874:
6871:
6869:
6866:
6864:
6861:
6859:
6856:
6854:
6851:
6849:
6846:
6844:
6841:
6839:
6836:
6834:
6833:Fair division
6831:
6829:
6826:
6824:
6821:
6819:
6816:
6814:
6811:
6809:
6808:Dictator game
6806:
6804:
6801:
6799:
6796:
6794:
6791:
6789:
6786:
6784:
6781:
6779:
6776:
6774:
6771:
6769:
6766:
6764:
6761:
6759:
6756:
6754:
6751:
6749:
6746:
6744:
6741:
6739:
6736:
6734:
6731:
6729:
6726:
6724:
6721:
6719:
6716:
6714:
6711:
6709:
6706:
6704:
6701:
6699:
6696:
6695:
6693:
6691:
6687:
6681:
6680:Zero-sum game
6678:
6676:
6673:
6671:
6668:
6666:
6663:
6661:
6658:
6656:
6653:
6651:
6650:Repeated game
6648:
6646:
6643:
6641:
6638:
6636:
6633:
6631:
6629:
6625:
6623:
6620:
6618:
6615:
6613:
6610:
6608:
6605:
6603:
6600:
6599:
6597:
6595:
6589:
6583:
6580:
6578:
6575:
6573:
6570:
6568:
6567:Pure strategy
6565:
6563:
6560:
6558:
6555:
6553:
6550:
6548:
6545:
6543:
6540:
6538:
6535:
6533:
6530:
6528:
6527:De-escalation
6525:
6523:
6520:
6518:
6515:
6513:
6510:
6508:
6505:
6503:
6500:
6499:
6497:
6495:
6491:
6485:
6482:
6480:
6477:
6475:
6472:
6470:
6469:Shapley value
6467:
6465:
6462:
6460:
6457:
6455:
6452:
6450:
6447:
6445:
6442:
6440:
6437:
6435:
6432:
6430:
6427:
6425:
6422:
6420:
6417:
6415:
6412:
6410:
6407:
6405:
6402:
6400:
6397:
6395:
6392:
6390:
6387:
6385:
6382:
6380:
6377:
6375:
6372:
6370:
6367:
6365:
6362:
6361:
6359:
6357:
6353:
6349:
6343:
6340:
6338:
6337:Succinct game
6335:
6333:
6330:
6328:
6325:
6323:
6320:
6318:
6315:
6313:
6310:
6308:
6305:
6303:
6300:
6298:
6295:
6293:
6290:
6288:
6285:
6283:
6280:
6278:
6275:
6273:
6270:
6268:
6265:
6263:
6260:
6258:
6255:
6254:
6252:
6248:
6244:
6236:
6231:
6229:
6224:
6222:
6217:
6216:
6213:
6201:
6198:
6196:
6193:
6192:
6190:
6186:
6180:
6177:
6175:
6172:
6170:
6167:
6166:
6164:
6160:
6154:
6151:
6149:
6146:
6144:
6141:
6139:
6136:
6134:
6131:
6129:
6126:
6125:
6123:
6121:
6117:
6111:
6108:
6106:
6103:
6101:
6098:
6097:
6095:
6091:
6087:
6080:
6075:
6073:
6068:
6066:
6061:
6060:
6057:
6042:
6038:
6033:
6031:
6027:
6024:
6021:
6019:
6016:
6014:
6011:
6009:
6006:
5996:on 2012-04-23
5995:
5991:
5986:
5976:on 2007-12-17
5975:
5971:
5967:
5963:
5958:
5957:
5953:
5949:
5934:
5888:
5884:
5882:
5881:
5877:
5874:
5868:
5864:
5861:
5857:
5853:
5849:
5844:
5840:
5836:
5831:
5826:
5822:
5818:
5814:
5809:
5805:
5801:
5797:
5793:
5789:
5785:
5781:
5777:
5776:
5770:
5766:
5762:
5758:
5754:
5750:
5746:
5742:
5738:
5734:
5730:
5729:
5723:
5719:
5715:
5711:
5707:
5703:
5699:
5695:
5690:
5686:
5682:
5679:
5676:
5673:(1894, 1898)
5672:
5669:
5666:
5662:
5658:
5654:
5650:
5646:
5642:
5638:
5634:
5630:
5626:
5621:
5620:
5618:
5617:
5599:
5595:
5591:
5584:
5569:
5565:
5561:
5555:
5541:on 2017-03-06
5540:
5536:
5530:
5516:on 2009-08-05
5515:
5511:
5504:
5490:on 2009-08-05
5489:
5485:
5479:
5464:
5460:
5453:
5438:
5434:
5430:
5424:
5409:
5405:
5401:
5394:
5380:on 2011-07-17
5379:
5375:
5371:
5365:
5349:
5345:
5339:
5325:on 2012-05-15
5324:
5320:
5314:
5298:
5294:
5290:
5284:
5269:
5265:
5259:
5251:
5245:
5229:
5225:
5218:
5203:
5197:
5182:
5178:
5171:
5157:on 2006-03-15
5156:
5152:
5148:
5142:
5127:
5123:
5119:
5112:
5097:
5093:
5089:
5083:
5068:
5064:
5060:
5054:
5039:
5035:
5031:
5027:
5021:
5006:
5002:
5001:
4996:
4989:
4974:
4970:
4964:
4949:
4945:
4941:
4935:
4920:
4916:
4915:Time for Kids
4912:
4911:"Play to Win"
4906:
4891:
4887:
4886:Time for Kids
4883:
4877:
4862:
4858:
4854:
4847:
4831:
4827:
4821:
4813:
4807:
4803:
4796:
4780:
4776:
4772:
4766:
4750:
4746:
4745:
4740:
4733:
4717:
4713:
4712:
4707:
4700:
4693:
4689:
4686:
4681:
4666:
4662:
4655:
4640:
4636:
4632:
4628:
4624:
4617:
4602:
4598:
4594:
4588:
4572:
4568:
4562:
4554:
4550:
4546:
4542:
4538:
4534:
4530:
4526:
4521:
4516:
4513:(2): 021912.
4512:
4508:
4501:
4493:
4489:
4485:
4481:
4477:
4473:
4469:
4465:
4458:
4450:
4446:
4441:
4436:
4432:
4428:
4424:
4420:
4416:
4409:
4401:
4397:
4393:
4389:
4385:
4381:
4377:
4373:
4368:
4363:
4360:(1): 011914.
4359:
4355:
4348:
4340:
4336:
4332:
4328:
4324:
4320:
4316:
4312:
4308:
4304:
4297:
4289:
4285:
4280:
4275:
4270:
4265:
4261:
4257:
4253:
4246:
4238:
4234:
4230:
4226:
4222:
4218:
4214:
4210:
4206:
4202:
4195:
4187:
4181:
4166:
4162:
4158:
4152:
4138:on 2019-02-11
4137:
4133:
4129:
4123:
4115:
4111:
4107:
4101:
4097:
4093:
4089:
4085:
4081:
4074:
4055:
4051:
4047:
4043:
4037:
4019:
4015:
4011:
4005:
3990:
3986:
3979:
3964:
3960:
3957:
3951:
3936:
3932:
3926:
3918:
3912:
3908:
3901:
3899:
3883:
3879:
3875:
3868:
3866:
3864:
3855:
3851:
3847:
3843:
3842:Harary, Frank
3837:
3828:
3823:
3816:
3801:
3797:
3793:
3787:
3771:
3767:
3761:
3745:
3741:
3737:
3731:
3715:
3711:
3705:
3691:on 2022-02-26
3689:
3684:
3680:
3676:
3670:
3662:
3660:0-7432-6751-6
3656:
3652:
3648:
3647:
3639:
3625:on 2021-11-25
3624:
3620:
3616:
3610:
3595:
3591:
3587:
3581:
3565:
3561:
3557:
3551:
3543:
3539:
3533:
3518:
3514:
3507:
3492:
3488:
3481:
3467:on 2011-07-23
3466:
3462:
3455:
3448:
3447:
3442:
3436:
3429:
3428:
3423:
3419:
3416:
3410:
3396:on 2011-08-07
3395:
3391:
3385:
3383:
3368:on 2011-08-10
3367:
3363:
3357:
3355:
3353:
3337:
3333:
3329:
3322:
3306:
3302:
3298:
3291:
3276:
3272:
3265:
3263:
3261:
3253:
3248:
3241:
3235:
3226:
3213:
3202:
3195:
3191:
3186:
3179:
3175:
3170:
3163:
3159:
3154:
3145:
3132:
3121:
3112:
3099:
3089:
3088:
3081:
3073:
3066:
3058:
3051:
3045:
3041:
3038:
3033:
3025:
3018:
3010:
3008:4-04-702103-2
3004:
3000:
2993:
2985:
2983:9780804820561
2979:
2975:
2971:
2970:
2962:
2954:
2952:9780791437919
2948:
2944:
2937:
2929:
2927:9780415116633
2923:
2919:
2912:
2910:
2908:
2906:
2904:
2895:
2891:
2887:
2883:
2876:
2874:
2872:
2870:
2868:
2859:
2853:
2849:
2842:
2827:
2823:
2817:
2801:
2797:
2796:
2791:
2785:
2777:
2776:
2771:
2764:
2749:
2745:
2739:
2723:
2719:
2715:
2709:
2693:
2689:
2685:
2678:
2662:
2658:
2654:
2648:
2634:
2633:
2628:
2621:
2606:
2602:
2601:
2596:
2589:
2575:on 2012-01-14
2574:
2570:
2569:"Game Basics"
2564:
2548:
2544:
2540:
2534:
2532:
2515:
2511:
2510:
2505:
2498:
2496:
2480:
2476:
2472:
2468:
2467:
2459:
2457:
2455:
2438:
2434:
2430:
2424:
2416:
2414:9780786726936
2410:
2406:
2401:
2400:
2391:
2383:
2381:9780786726936
2377:
2373:
2368:
2367:
2358:
2354:
2351:
2350:
2339:
2336:
2334:
2331:
2329:
2326:
2324:
2321:
2318:
2315:
2312:
2309:
2307:
2304:
2303:
2299:
2293:
2288:
2281:
2279:
2275:
2274:
2266:
2262:
2257:
2254:
2250:
2246:
2242:
2238:
2234:
2224:
2222:
2218:
2211:
2206:
2204:
2193:
2189:
2186:
2183:
2181:
2177:
2173:
2168:
2166:
2162:
2153:
2151:
2141:
2139:
2135:
2124:
2116:
2109:
2100:
2098:
2093:
2091:
2090:
2084:
2083:
2078:
2077:
2072:
2071:
2066:
2065:
2060:
2055:
2053:
2052:
2046:
2044:
2033:
2031:
2021:
2019:
2015:
2011:
2007:
1997:
1995:
1989:
1985:
1983:
1980:
1975:
1971:
1967:
1963:
1962:Pablo Picasso
1959:
1955:
1954:Impressionist
1951:
1950:Maspro Denkoh
1943:
1939:
1936:
1932:
1922:
1919:
1918:Gordian knots
1913:
1911:
1907:
1903:
1899:
1884:
1882:
1881:
1876:
1866:
1863:
1858:
1855:
1851:
1847:
1844:. Additional
1843:
1839:
1835:
1825:
1823:
1819:
1813:
1780:
1777:
1768:
1765:
1762:
1759:
1756:
1753:
1749:
1732:
1729:
1720:
1717:
1714:
1711:
1708:
1705:
1701:
1684:
1681:
1672:
1669:
1666:
1663:
1660:
1657:
1653:
1636:
1633:
1624:
1621:
1618:
1615:
1612:
1609:
1605:
1588:
1585:
1576:
1573:
1570:
1567:
1564:
1561:
1557:
1548:
1545:
1542:
1539:
1536:
1525:
1524:
1516:
1500:
1497:
1473:
1470:
1460:
1456:
1447:
1425:
1422:
1413:
1410:
1407:
1404:
1401:
1398:
1394:
1377:
1374:
1365:
1362:
1359:
1356:
1353:
1350:
1346:
1329:
1326:
1317:
1314:
1311:
1308:
1305:
1302:
1298:
1281:
1278:
1269:
1266:
1263:
1260:
1257:
1254:
1250:
1233:
1230:
1221:
1218:
1215:
1212:
1209:
1206:
1202:
1193:
1190:
1187:
1184:
1181:
1170:
1169:
1161:
1159:
1155:
1154:
1149:
1145:
1144:
1139:
1138:Vulcan salute
1136:
1132:
1117:
1113:
1111:
1107:
1083:
1080:
1071:
1068:
1065:
1062:
1059:
1055:
1038:
1035:
1026:
1023:
1020:
1017:
1014:
1010:
993:
990:
981:
978:
975:
972:
969:
965:
950:
943:
940:
937:
934:
931:
927:
918:
915:
912:
909:
898:
897:
889:
887:
883:
875:
870:
865:
864:
863:
861:
856:
852:
842:
840:
834:
832:
828:
824:
819:
817:
813:
809:
805:
801:
797:
793:
789:
785:
781:
777:
772:
763:
759:
757:
753:
748:
746:
742:
741:
736:
731:
729:
725:
721:
720:
715:
708:Adapted rules
705:
698:
693:
687:
677:
675:
671:
666:
664:
663:Markov chains
653:
649:
645:
643:
639:
630:
622:
613:
610:
609:
604:
600:
595:
593:
589:
584:
582:
578:
574:
569:
567:
563:
558:
554:
553:
548:
547:
542:
537:
528:
526:
522:
517:
504:
500:
499:sansukumi-ken
491:
487:
485:
481:
477:
473:
469:
465:
464:sansukumi-ken
460:
458:
455:
451:
446:
442:
438:
437:sansukumi-ken
435:The earliest
433:
431:
427:
426:
425:sansukumi-ken
417:
416:sansukumi-ken
412:
408:
406:
402:
398:
394:
390:
386:
382:
378:
374:
370:
366:
353:
348:
344:
340:
337:
332:
316:
314:
297:
288:
279:
265:
262:
243:
238:
233:
231:
227:
223:
219:
215:
209:
205:
203:
199:
198:Bato Bato Pik
195:
191:
187:
177:
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2273:Eat Bulaga!
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369:shoushiling
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6169:Chopsticks
6143:Miss Susie
6086:Hand games
6047:2015-08-08
6000:2009-03-30
5980:2007-04-09
5948:Audio help
5939:2006-07-14
5604:2017-07-15
5574:2017-07-15
5545:2017-03-06
5520:2009-07-21
5494:2009-07-24
5469:2009-07-24
5443:2009-07-24
5414:2009-07-23
5384:2009-07-31
5329:2009-06-05
5274:2016-05-10
5208:2009-06-05
5187:2009-06-05
5161:2006-08-20
5132:2006-08-20
5102:2006-08-20
5073:2006-08-20
5044:2006-08-20
5011:2006-08-20
4979:2021-04-07
4954:2021-04-07
4925:2021-04-07
4896:2021-04-07
4867:2021-04-07
4671:2006-06-08
4645:2016-08-10
4607:2006-08-20
4577:1 December
4262:(1): 178.
4171:2010-03-25
4142:2006-08-20
4024:2009-06-09
3995:2009-03-11
3983:Sam Kass.
3969:2017-04-06
3941:2011-06-14
3888:2020-01-27
3827:1806.11241
3806:2016-11-28
3695:2020-10-18
3629:2021-11-24
3600:2014-02-06
3570:12 January
3523:2011-06-15
3497:2011-06-15
3471:2011-06-15
3400:2011-06-15
3372:2011-06-15
3342:2011-06-15
3281:2011-06-15
2832:2023-06-08
2754:2023-06-08
2638:2013-08-13
2611:2007-11-20
2579:2009-12-05
2485:2015-07-14
2475:B000J8V5WU
2344:References
2253:Annie Duke
1970:Christie's
1942:Christie's
1906:deposition
1880:BattleBots
1834:antibiotic
860:isomorphic
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752:jak-en-poy
735:strip game
680:Variations
656:Algorithms
642:algorithms
616:Strategies
501:is called
428:, meaning
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202:Jak-en-poy
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186:Rochambeau
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7072:John Nash
6778:Stag hunt
6517:Collusion
6133:Mary Mack
6110:Thumb war
6100:Red hands
6093:Endurance
5804:205026253
5228:canoe.com
5147:"Gallery"
5092:USA Today
4944:Podchaser
4635:0362-4331
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4367:1012.0276
4114:0302-9743
4014:The Times
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1979:Cézanne's
1974:Sotheby's
1935:Cézanne's
1900:from the
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484:mushi-ken
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