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Rock paper scissors

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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.' 1931: 1116: 1921:
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. 296: 287: 278: 2292: 55: 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. 629: 5927: 621: 1446: 311:
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. 2108: 652:
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 1920:
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
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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
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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
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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. 2200:
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. 2085:
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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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.
5859: 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 4825: 1996:
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 5347: 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" 1901: 5916: 601:
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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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
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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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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".
5989: 5462: 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. 5146: 4185: 3335: 4505:
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.
346: 4939: 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. 5692:
Sinervo, Barry (2001). "Runaway social games, genetic cycles driven by alternative male and female strategies, and the origin of morphs".
5436: 5377: 5037: 357: 5318: 5223: 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 837:
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" 3039: 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: 5961: 4462:
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
5513: 5125: 1147: 798:" they both show two open-palmed hands. One player then changes his hand gestures while calling his new combination out (e.g., " 6147: 4889: 4770: 4638: 3622: 3414: 2132:
prizes, elaborate staging, and colorful competitors. In 2004, the championships were broadcast on the U.S. television network
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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".
5589: 5176: 2747: 2327: 5263: 806:" is most likely a transcription of the Japanese names for the different hand gestures in the original jan-ken game, " 7329: 6772: 6591: 5487: 4250:
Pátková, Irena; Čepl, Jaroslav J; Rieger, Tomáš; Blahůšková, Anna; Neubauer, Zdeněk; Markoš, Anton (1 January 2012).
3658: 3006: 2981: 2950: 2925: 2412: 2379: 790:" refers to the water gesture. The game is played by two players using both hands. At the same time, they both say, " 685: 3490: 3460: 1930: 6388: 3516: 2069: 6007: 6862: 4160: 2013: 4660: 2572: 1811: 204:. While the game's name is a list of three items, different countries often have the list in a different order. 7324: 6732: 6398: 5932: 4135: 2160: 396: 384: 315:
and some parts of New York City), and a version where players shake their hands three times before "throwing".
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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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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
169: 5154: 432:(fist) games "of the three who are afraid of one another" (i.e. A beats B, B beats C, and C beats A). 7233: 7156: 6892: 6443: 6368: 6225: 5951: 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" 607: 5087: 4252:"Developmental plasticity of bacterial colonies and consortia in germ-free and gnotobiotic settings" 4017: 3224: 3143: 3110: 2538: 1771: 1723: 1675: 1627: 1579: 1491: 1464: 1416: 1368: 1320: 1272: 1224: 1074: 1029: 984: 7309: 7248: 6981: 6867: 6664: 6453: 6271: 6069: 5875: 4852: 3743: 3037: 3036:
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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After the Rome correspondent of a British paper described the traditional Italian hand-game of
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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: 2967: 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
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Various competitive rock paper scissors tournaments have been organised by different groups.
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showed that 4 variants of 582 possible variations using 5 different weapons have non-trivial
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Jackpot En Poy is a game segment on the Philippines' longest running noontime variety show,
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Art/Auctions logo, Impressionist & Modern Art, Christie's, 7 pm, May 4, 2005, Sale 1514
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Rock paper scissors is often used as a fair choosing method between two people, similar to
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The $ 50,000 2007 USARPS Tournament took place at the Las Vegas Mandalay Bay in May 2007.
8: 7314: 7228: 6847: 6634: 6561: 6536: 6393: 6276: 6062: 5680: 2397: 2371: 1897: 1837: 1152: 669: 6887: 5787: 5740: 5640: 5296: 4528: 4375: 4314: 4212: 4087: 2428: 7207: 7066: 6897: 6877: 6727: 6606: 6506: 6433: 6378: 6152: 5799: 5760: 5713: 5652: 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: 4278: 4251: 4232: 3821: 946: 449: 351: 335: 38: 4799: 4046:"The Big Bang Theory Video — Rock, Paper, Scissors, Lizard, Spock — CBS.com" 7192: 7161: 7116: 7011: 6882: 6837: 6812: 6742: 6616: 6541: 6531: 6423: 6373: 6321: 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: 4179: 4109: 4099: 3910: 3873: 3654: 3002: 2977: 2946: 2921: 2851: 2794: 2470: 2408: 2375: 2322: 2088: 2042: 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: 7268: 7202: 7166: 7146: 7106: 7076: 7031: 6986: 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: 4532: 4471: 4434: 4426: 4399: 4379: 4338: 4318: 4273: 4263: 4236: 4216: 4091: 3618: 3445: 3393: 2889: 2310: 2202: 1965: 1948:
In 2005, when Takashi Hashiyama, CEO of Japanese television equipment manufacturer
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role-playing games prominently feature a rock paper scissors gameplay element. In
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Proceedings of the International Conference on Agents and Artificial Intelligence
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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
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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
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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
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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: 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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: 175: 171: 167: 162: 154: 152: 148: 144: 140: 139:coin flipping 135: 133: 132:zero-sum game 129: 124: 122: 118: 115: 111: 107: 98: 94: 90: 86: 82: 78: 74: 70: 67: 64: 60: 56: 51: 43: 41: 33: 19: 7127:Peyton Young 7122:Paul Milgrom 7037:Hervé Moulin 6977:Amos Tversky 6919:Folk theorem 6797: 6630:-player game 6627: 6547:Grim trigger 6199: 6195:Johnny Whoop 6045:. 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Index

Rock-paper-scissors
Rock paper scissors (disambiguation)
Ro Sham Bo (album)

Hand game
§ Names
intransitive
hand game
China
simultaneous
zero-sum game
coin flipping
drawing straws
dice
random
Count Rochambeau
American Revolutionary War
New South Wales
Victoria
South Australia
Western Australia
Queensland
Māori



Long Island
Wuzazu
zh
Ming-dynasty

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