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Center squeeze

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expenditures for and against candidates. In this analysis, I found that negative spending increased significantly in Maine following the implementation of ranked-choice voting, casting doubt on the claim that RCV makes campaigns more civil. To provide more evidence, I also created a dataset of all Facebook advertisements that mentioned any congressional candidates for 2018, the first year that RCV was used in Maine. I then conducted a sentiment analysis to find each advertisement's sentiment (whether it was negative or not). I then used genetic matching to approximate an experiment to find the impact of RCV on civility. In doing so, I found that the 2018 campaign was even more negative than in paired districts around the country.
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directly to Palin voters. Imagine that she empathized with their position and identified issues they cared about that Palin and even Begich ignored. And let's say that as a consequence, Peltola got the first-choice votes of between 5,200 and 8,500 voters who would have otherwise ranked only Palin. What happens as a result? Palin would have gotten eliminated in the first round and Peltola would still not be able to beat Begich.
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views will rank the candidate in second place rather than in first place. Since ranked-choice voting counts only the number of first-choice votes (among the remaining candidates), the moderate candidate would be eliminated in the first round, leaving one of the extreme candidates to be declared the winner.
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views will rank the candidate in second place rather than in first place. Since ranked-choice voting counts only the number of first-choice votes (among the remaining candidates), the moderate candidate would be eliminated in the first round, leaving one of the extreme candidates to be declared the winner.
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views will rank the candidate in second place rather than in first place. Since ranked-choice voting counts only the number of first-choice votes (among the remaining candidates), the moderate candidate would be eliminated in the first round, leaving one of the extreme candidates to be declared the winner.
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However, ranked-choice voting makes it more difficult to elect moderate candidates when the electorate is polarized. For example, in a three-person race, the moderate candidate may be preferred to each of the more extreme candidates by a majority of voters. However, voters with far-left and far-right
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However, ranked-choice voting makes it more difficult to elect moderate candidates when the electorate is polarized. For example, in a three-person race, the moderate candidate may be preferred to each of the more extreme candidates by a majority of voters. However, voters with far-left and far-right
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However, ranked-choice voting makes it more difficult to elect moderate candidates when the electorate is polarized. For example, in a three-person race, the moderate candidate may be preferred by a majority of voters to each of the more extreme candidates. However, voters with far-left and far-right
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The idea was that by opening up primaries to all voters, regardless of party, a flood of new centrist voters would arrive. That would give moderate candidates a route to victory .. Candidates did not represent voters any better after the reforms, taking positions just as polarized as they did before
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third place Candidate C is a centrist who is the second choice of Candidate A's left-wing supporters and Candidate B's right-wing supporters. ... In such a situation, Candidate C would prevail over both Candidates A ... and B ... in a one-on-one runoff election. Yet, Candidate C would not prevail
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It's a good thing for Peltola that she didn't attract more Palin voters—she'd have lost The strangeness continues. Peltola could have actually gotten more 1st choice votes in this election and caused herself to lose. How's that? Let's look. Imagine if Peltola reached across the aisle and spoke
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Voting systems that suffer from the center-squeeze effect incentivize candidates to avoid the political center, creating political polarization in the long run. As a result, rules like RCV can lead to extreme winners even if center-squeezes seem empirically rare, because the rules disincentivize
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Montroll was favored over Republican Kurt Wright 56% to 44% ... and over Progressive Bob Kiss 54% to 46% ... In other words, in voting terminology, Montroll was a 'beats-all winner,' also called a 'Condorcet winner' ... However, in the IRV election, Montroll came in third! ... voters preferred
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By eliminating the squeezing effect, Approval Voting would encourage the election of consensual candidates. The squeezing effect is typically observed in multiparty elections with a runoff. The runoff tends to prevent extremist candidates from winning, but a centrist candidate who would win any
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One of the main claims made by reformers about RCV is that it will make campaigns more civil, as campaigns will have the incentive to seek the second-place vote of supporters of different candidates. To study this claim, I first conducted a difference-in-differences analysis on independent
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Although the Democrat was the Condorcet winner (a majority of voters preferred him in all two way contests), he received the fewest first-place votes and so was eliminated ... 2009 mayoral election in Burlington, VT, which illustrates the key features of an upward monotonicity
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the 'squeeze effect' that tends to reduce Condorcet efficiency if the relative dispersion (RD) of candidates is low. This effect is particularly strong for the plurality, runoff, and Hare systems, for which the garnering of first-place votes in a large field is essential to
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third place C is a centrist who is the second choice of Candidate A's left-wing supporters and Candidate B's right-wing supporters. ... In such a situation, C would prevail over both Candidates A ... and B ... in a one-on-one runoff election. Yet, C would not prevail under
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The opposite situation—a bias toward "bland" or inoffensive candidates, and against polarizing ones—does not appear for any common rules. However, it can occur for bottom-heavy or negative voting methods that elect candidates with the least opposition, such as
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Over 64% of Burlington voters voted in favor of the IRV Charter amendment in March 2005, and it went into effect on May 12, 2005, when the governor signed the ratification bill, H.505, which had been passed by both the House and
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The election produced a winner opposed by a majority of voters, with a majority of voters ranking Begich above Peltola and Palin and more than half giving Peltola no support at all. The election was also notable as a
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Fiji's objective of ameliorating ethnic divisions by the adoption of AV was not successful. In elections in 1999 and 2001, moderate parties would have fared better under a proportional representation system
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neither the Citizens Redistricting Commission nor the top-two primary immediately halted the continuing partisan polarization of California's elected lawmakers or their drift away from the average voter
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of the voter distribution. As a result, while score voting does not always elect the candidate closest to the median voter, it often behaves like methods that do. Under most models of strategic voting,
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votes to lose). In this race, Peltola would have lost if she had received more support from Palin voters, and won as a result of 5,200 ballots that ranked her last (after Palin then Begich). However,
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Since our model is multi-dimensional, we can incorporate all criteria which we normally associate with a citizen's voting decision process — issues, style, partisan identification, and the like.
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were careful to note the results likely would have been the same under Alaska's previous primary system as well. This led several to recommend replacing the system with any one of several
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Instant Runoff Voting, however, achieves the most centripetal result (when it does) only by happenstance, not intrinsically, and fails to do so when the electorate is especially polarized
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a majority of voters liked the centrist candidate Montroll better than Kiss, and a majority of voters liked Montroll better than Wright ... yet Montroll was tossed in the first round.
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that repealed RCV by a vote of 52% to 48%, a 16-point shift from the 64% who had supported the 2005 ratification. The results of every possible one-on-one election are as follows:
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Ornstein, Joseph T.; Norman, Robert Z. (October 1, 2014). "Frequency of monotonicity failure under Instant Runoff Voting: estimates based on a spatial model of elections".
1512:, and serves as an example of a four-candidate center squeeze. This was the second mayoral election since the city's 2005 change to ranked-choice runoff voting, after the 3635:
Clelland, Jeanne N. (2023-02-28). "Ranked Choice Voting And the Center Squeeze in the Alaska 2022 Special Election: How Might Other Voting Methods Compare?". p. 6.
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Clelland, Jeanne N. (2023-02-28). "Ranked Choice Voting And the Center Squeeze in the Alaska 2022 Special Election: How Might Other Voting Methods Compare?". p. 6.
617: 1076:. However, in methods that strongly prioritize first preferences, these candidates are often eliminated early on because they aim for broad appeal rather than strong 3623:
Since Begich wins both … he is the Condorcet winner of the election … AK election also contains a Condorcet loser: Sarah Palin. … she is also a spoiler candidate
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Since Begich wins both … he is the Condorcet winner of the election … AK election also contains a Condorcet loser: Sarah Palin. … she is also a spoiler candidate
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Since Begich wins both … he is the Condorcet winner of the election … AK election also contains a Condorcet loser: Sarah Palin. … she is also a spoiler candidate
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Since Begich wins both … he is the Condorcet winner of the election … AK election also contains a Condorcet loser: Sarah Palin. … she is also a spoiler candidate
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Since Begich wins both … he is the Condorcet winner of the election … AK election also contains a Condorcet loser: Sarah Palin. … she is also a spoiler candidate
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Since Begich wins both … he is the Condorcet winner of the election … AK election also contains a Condorcet loser: Sarah Palin. … she is also a spoiler candidate
2241:"How an Ideologically Concentrated Minority Can Trump a Dispersed Majority: Nonmedian Voter Results for Plurality, Run-off, and Sequential Elimination Elections" 1992:"How an Ideologically Concentrated Minority Can Trump a Dispersed Majority: Nonmedian Voter Results for Plurality, Run-off, and Sequential Elimination Elections" 4155: 3704: 3268: 3121:
pairwise runoff (the "Condorcet winner") is also often "squeezed" between the left-wing and the right-wing candidates and so eliminated in the first round.
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Bristow-Johnson, Robert (2023). "The failure of Instant Runoff to accomplish the purpose for which it was adopted: a case study from Burlington Vermont".
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Davis, Otto A.; Hinich, Melvin J.; Ordeshook, Peter C. (1970-01-01). "An Expository Development of a Mathematical Model of the Electoral Process".
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A display of non-monotonicity under the Alternative Vote method was reported recently, for the March 2009 mayoral election in Burlington, Vermont.
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Montroll was therefore preferred over Kiss by 54% of voters, over Wright by 56% of voters, over Smith by 60%, and over Simpson by 91% of voters.
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Felsenthal, Dan S.; Tideman, Nicolaus (2014). "Interacting double monotonicity failure with direction of impact under five voting methods".
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Graham-Squire, Adam; McCune, David (2022-09-11). "A Mathematical Analysis of the 2022 Alaska Special Election for US House". p. 2.
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Graham-Squire, Adam; McCune, David (2022-09-11). "A Mathematical Analysis of the 2022 Alaska Special Election for US House". p. 2.
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Graham-Squire, Adam; McCune, David (2022-09-11). "A Mathematical Analysis of the 2022 Alaska Special Election for US House". p. 2.
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Graham-Squire, Adam; McCune, David (2022-09-11). "A Mathematical Analysis of the 2022 Alaska Special Election for US House". p. 2.
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Graham-Squire, Adam; McCune, David (2022-09-11). "A Mathematical Analysis of the 2022 Alaska Special Election for US House". p. 2.
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Graham-Squire, Adam; McCune, David (2022-09-11). "A Mathematical Analysis of the 2022 Alaska Special Election for US House". p. 2.
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advocates branded the election a failure after Kiss was elected despite 54% of voters voting for Montroll over Kiss, violating the
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The 2022 Alaska special election seat was an infamous example of a center squeeze. The ranked-choice runoff election involved one
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However, squeezed by surrounding opponents, a centrist candidate may receive few first-place votes and be eliminated under Hare.
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However, squeezed by surrounding opponents, a centrist candidate may receive few first-place votes and be eliminated under Hare.
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As with simple plurality elections, it is apparent the outcome will be highly sensitive to the distribution of candidates.
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As with simple plurality elections, it is apparent the outcome will be highly sensitive to the distribution of candidates.
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election where Democratic candidate for mayor was Condorcet winner but finished third behind Republican and 'Progressive
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were able to confirm that Palin spoiled the race for Begich, with Peltola winning the race as a result of several
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of their candidacy. In this case, ballots ranking Palin first and Begich second instead allowed Peltola to win.
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methods are not affected by this pathology. Condorcet methods are insulated from center-squeezes by the
4626: 4317: 1539: 790: 773: 740: 504: 492: 462: 263: 221: 154: 43: 2727:"The Failure of the Alternative Vote as a Tool for Ethnic Moderation in Fiji: A Rejoinder to Horowitz" 2156: 4676: 4631: 4577: 4489: 4169: 3437: 1655: 1524: 1061: 1030: 646: 639: 123: 1470:, where a voter's ballot has the opposite of its intended effect (e.g. where a candidate would need 4666: 4552: 4510: 4429: 4354: 4290: 4248: 1018: 700: 628: 480: 467: 450: 427: 405: 368: 358: 1867:"A statistical model for Condorcet efficiency based on simulation under spatial model assumptions" 909: 4691: 4681: 4656: 4472: 4349: 4285: 1551: 1448: 1298: 826: 680: 363: 4114: 3900: 2685:"Does the Alternative Vote Foster Moderation in Ethnically Divided Societies?: The Case of Fiji" 2040: 795: 4811: 4732: 4671: 4534: 3219: 1740: 1467: 1214:
or other multiple-round systems. In these methods, candidates must focus on appealing to their
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K was elected even though M was a clear Condorcet winner and W was a clear Plurality winner.
3100:. Studies in Choice and Welfare. Berlin, Heidelberg: Springer Berlin Heidelberg. p. 2. 3003: 2484: 1048:
The term "center squeeze" refers to candidates who are close to the center of public opinion
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under IRV because he or she finished third and thus would be the first candidate eliminated
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can thus "squeeze" broadly-popular candidates trapped between them, starving them of the
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moderates from running for office in the first place. The effect was first predicted by
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to ensure they can make it past the first round, where only first-preferences count.
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Igersheim, Herrade; Durand, François; Hamlin, Aaron; Laslier, Jean-François (2022).
2182: 4737: 4369: 4225: 4210: 4086: 4078: 4023:"Instant run-off voting experiment ends in Burlington : Rutland Herald Online" 3976: 3968: 3873: 3777: 3739: 3548: 3449: 3231: 3149: 3101: 3057: 3015: 2957: 2953: 2912: 2773: 2738: 2696: 2615: 2492: 2449: 2346: 2307: 2252: 2178: 2094: 2074: 2003: 1924: 1878: 1547: 1546:, where Kiss won only as a result of 750 votes ranking Kiss in last place. Several 1491: 1226: 1211: 1179: 1171: 1167: 1160: 1148: 1073: 1014: 1010: 947: 904: 783: 497: 373: 199: 193: 175: 164: 159: 147: 108: 70: 51: 47: 3453: 2157:"Candidate incentive distributions: How voting methods shape electoral incentives" 2138:
because he or she finished third and thus would be the first candidate eliminated.
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in the 1940s and has since been confirmed empirically by studies of politics in
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The 2009 Burlington mayoral election was held in March 2009 for the city of
1060:. Center squeezes can occur in any situation where voters prefer candidates 4359: 4300: 3480:"Opinion: Alaska's ranked-choice voting is flawed. But there's an easy fix" 2901:"Condorcet Loser in 2016: Apparently Trump; Condorcet Winner: Not Clinton?" 2519: 2205: 2112: 1420: 1324: 1231: 1222: 1215: 1195: 1191: 1183: 1152: 1140: 1136: 554: 318: 311: 241: 3820: 90: 4742: 4505: 4444: 4364: 4260: 4091: 4082: 3981: 3972: 3835: 3475: 2860: 2777: 2620: 2603: 1483: 1428: 1330: 1124: 432: 390: 333: 278: 4142: 3682: 2765: 1866: 930: 4515: 4451: 4008: 3568: 3536: 3169: 3137: 3077: 3045: 2941: 2469: 2437: 2366: 2272: 2240: 2086: 2023: 1991: 1944: 1882: 1120: 1097: 2409:"Munger: "If you have a dumb incentive system, you get dumb outcomes"" 30: 4752: 4747: 3963:
Stensholt, Eivind (October 7, 2015). "What Happened in Burlington?".
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Montroll over every other candidate ... Montroll is the most-approved
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If voters assign scores to candidates based on ideological distance,
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Gierzynski, Anthony; Hamilton, Wes; Smith, Warren D. (March 2009).
2453: 2173: 1648: 1520: 1053: 651: 58:(center-left column) towards extreme candidates is clearly visible. 39: 2865:"Alaska's ranked-choice voting is flawed. But there's an easy fix" 1697: 1593: 4434: 1804:– defeats all candidates below, including Wright (4,313 to 4,061) 1527:, defeating Kurt Wright in the final round with 48% of the vote. 1068:, the candidate who appeals most to the median voter will be the 437: 3089: 3087: 2671:
the top two. We detected no shift toward the ideological middle.
2575:"The Effect of Ranked-Choice Voting in Maine | MIT Election Lab" 2335:"A Comparison of Efficiency of Multicandidate Electoral Systems" 1913:"A Comparison of Efficiency of Multicandidate Electoral Systems" 1810:– defeats all candidates below, including Smith (3,971 to 3,793) 1166:
The voting systems most strongly affected by center squeeze are
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Lewyn, Michael (2012). "Two Cheers for Instant Runoff Voting".
2942:"Comparing Voting Methods : 2016 US Presidential Election" 2485:"Australia: No party convergence where we would most expect it" 2239:
McGann, Anthony J.; Koetzle, William; Grofman, Bernard (2002).
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McGann, Anthony J.; Koetzle, William; Grofman, Bernard (2002).
1798:– defeats all candidates below, including Kiss (4,064 to 3,476) 1451:, where a candidate is eliminated as a result of votes cast in 942: 4009:"The Rank-Order Votes in the 2009 Burlington Mayoral Election" 1443:
behaviors that tend to characterize center-squeeze elections.
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2022 Alaska's at-large congressional district special election
3584:"RCV Fools Palin Voters into Electing a Progressive Democrat" 3189:. McGraw-Hill Book Co., New York-London-Sydney. p. 232. 3084: 1766: 1210:
Center squeeze is a major feature of two-party systems using
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The Center for Range Voting: IRV "center squeeze" pathology
1435:). Because the full ballot data for the race was released, 1101: 4073:
Stensholt, Eivind (2015). "What Happened in Burlington?".
3705:"ChoicePlus Pro 2009 Burlington Mayor Round Detail Report" 2899:
Potthoff, Richard F.; Munger, Michael C. (November 2021).
2797: 2795: 2296:"Implications of strategic position choices by candidates" 3375:"The flaw in ranked-choice voting: rewarding extremists" 2828:"The flaw in ranked-choice voting: rewarding extremists" 1963:"The flaw in ranked-choice voting: rewarding extremists" 1466:. Along with being a center-squeeze, the election was a 3895:
How Not to Be Wrong: The Power of Mathematical Thinking
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Laslier, Jean-François; Sanver, M. Remzi, eds. (2010).
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criticized the ranked-choice runoff procedure for its
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Kousser, Thad; Phillips, Justin; Shor, Boris (2016).
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alternative. Extreme candidates who focus on a small
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https://electowiki.org/Center_squeeze?action=history
3504: 2238: 2064: 1989: 1860: 1858: 1856: 1854: 1852: 1850: 1848: 4140:, this article is derived in whole or in part from 3610: 3510: 3435: 3404: 3345: 3336: 3292: 2801: 2601: 2483:Mussel, Johanan D.; Schlechta, Henry (2023-07-21). 1497: 1131:, where polls found several alternatives including 3892: 3808: 3649: 3395: 3286: 2973:"What is "Centripetalism" and Why Does It Matter?" 1906: 1904: 3729: 3436:Graham-Squire, Adam; McCune, David (2024-01-02). 2150: 2148: 2146: 1845: 1273: 1225:will always select the candidate closest to some 4803: 4015: 3827: 2197: 1791:This leads to an overall preference ranking of: 1557:The controversy culminated in a successful 2010 4053:"Official Results Of 2010 Annual City Election" 3925: 3923: 3863: 3373:Atkinson, Nathan; Ganz, Scott C. (2022-10-30). 3220:"Normed Negative Voting to Depolarize Politics" 2855: 2853: 2851: 2826:Atkinson, Nathan; Ganz, Scott C. (2022-10-30). 2724: 2682: 2482: 2104: 1961:Atkinson, Nathan; Ganz, Scott C. (2022-10-30). 1901: 1258: 1111:Famous examples of center-squeezes include the 3836:"Burlington Vermont 2009 IRV mayoral election" 3767: 3468: 2898: 2725:Fraenkel, Jon; Grofman, Bernard (2006-06-01). 2683:Fraenkel, Jon; Grofman, Bernard (2006-06-01). 2143: 4195: 4045: 3093: 3046:"Electoral Equilibrium under Approval Voting" 2058: 978: 4652:Independence of Smith-dominated alternatives 4007:Laatu, Juho; Smith, Warren D. (March 2009). 4000: 3965:NHH Dept. Of Business and Management Science 3920: 3534: 3372: 3136:Myerson, Roger B.; Weber, Robert J. (1993). 3135: 2848: 2825: 2385:"The primordial election that is never held" 1960: 4170:Center for Election Science: Vote Splitting 4066: 3474: 2859: 2438:"On the Rationale of Group Decision-making" 1238:and thus converge on the Condorcet winner. 1205: 1033:candidate is eliminated in favor of a more 4202: 4188: 4006: 2763: 2289: 2287: 2285: 1202:are protected by closely-related results. 985: 971: 4090: 4072: 3980: 3962: 3890: 3659:4. How did this change to IRV come about? 3640: 3616: 3516: 3410: 3368: 3366: 3351: 3327: 3298: 2916: 2807: 2647: 2619: 2293: 2172: 3819:. Vermont Daily Briefing. Archived from 3634: 3535:Doron, Gideon; Kronick, Richard (1977). 3431: 3429: 3427: 3425: 3321: 3039: 3037: 2997: 2995: 2819: 1530:The election results were criticized by 1275:Alaska's at-large congressional district 1129:2016 United States presidential election 1074:any method compatible with majority-rule 29: 4647:Independence of irrelevant alternatives 4425:Sequential proportional approval voting 3317: 3315: 3313: 3217: 3182: 3002:Laslier, Jean-François (January 2009). 3001: 2332: 2326: 2282: 2232: 1983: 1910: 1864: 1835:Independence of irrelevant alternatives 34:Distribution of winners on a simulated 14: 4804: 4158:. All relevant terms must be followed. 3814: 3628: 3581: 3363: 3250: 3131: 3129: 2894: 2892: 2608:Political Science Research and Methods 2520:"Two Cheers for Instant Runoff Voting" 2476: 2431: 2429: 2206:"Two Cheers for Instant Runoff Voting" 2113:"Two Cheers for Instant Runoff Voting" 1954: 1542:associated with RCV. These included a 1072:, which means they will be elected by 4209: 4183: 3929: 3541:American Journal of Political Science 3422: 3142:The American Political Science Review 3050:American Journal of Political Science 3034: 2992: 2970: 2946:European Journal of Political Economy 2551:"RCV in the 2022 Australian Election" 2548: 2517: 2435: 2382: 2339:American Journal of Political Science 2245:American Journal of Political Science 2203: 2154: 2110: 2067:The American Political Science Review 1996:American Journal of Political Science 1917:American Journal of Political Science 1234:cardinal methods tend to behave like 1155:, but being squeezed out by both the 1119:was eliminated in the first round by 27:Pro-extremist bias in RCV and runoffs 4107: 3857: 3761: 3310: 3274:from the original on August 17, 2022 2718: 2033: 1480:alternatives without these behaviors 4457:Indirect single transferable voting 3438:"Ranked Choice Wackiness in Alaska" 3126: 3043: 2964: 2889: 2653: 2426: 1062:who hold views similar to their own 1045:they need to survive early rounds. 24: 3891:Ellenberg, Jordan (May 29, 2014). 3218:Shankar, Karthik H. (2022-12-01). 1523:won reelection as a member of the 1516:. In the 2009 election, incumbent 1052:and as a result is not limited to 89: 25: 4828: 4163: 3815:Baruth, Philip (March 12, 2009). 3478:; Foley, Edward B. (2022-11-01). 2863:; Foley, Edward B. (2022-11-01). 4029:. April 27, 2010. Archived from 3967:. Discussion Paper No. 2015/26. 3866:Constitutional Political Economy 3744:10.1016/j.mathsocsci.2013.08.001 2300:Constitutional Political Economy 2294:Robinette, Robbie (2023-09-01). 1765: 1696: 1647: 1592: 1504:2009 Burlington mayoral election 1498:2009 Burlington mayoral election 1311: 1304: 1297: 954: 941: 929: 877:McKelvey–Schofield chaos theorem 523:Semi-proportional representation 155:First preference plurality (FPP) 4119:The Center for Election Science 3956: 3884: 3723: 3707:. July 25, 2011. Archived from 3697: 3667: 3588:The Center for Election Science 3575: 3528: 3211: 3176: 3138:"A Theory of Voting Equilibria" 3008:Journal of Theoretical Politics 2971:Foley, Edward B. (2024-08-17). 2933: 2757: 2676: 2595: 2567: 2542: 2511: 2401: 2376: 2183:10.1016/j.electstud.2024.102799 2045:The Center for Election Science 4568:Mixed ballot transferable vote 3224:Group Decision and Negotiation 2958:10.1016/j.ejpoleco.2021.102057 915:Harsanyi's utilitarian theorem 872:Moulin's impossibility theorem 837:Conflicting majorities paradox 13: 1: 3454:10.1080/10724117.2023.2224675 3186:Optimal Statistical Decisions 2731:Comparative Political Studies 2689:Comparative Political Studies 1840: 741:Frustrated majorities paradox 4769:Comparison of voting systems 4611:Satisfaction approval voting 4596:Single non-transferable vote 4415:Proportional approval voting 3732:Mathematical Social Sciences 3582:Hamlin, Aaron (2022-09-16). 3265:Alaska Division of Elections 2549:Ogren, Marcus (2022-11-16). 2442:Journal of Political Economy 2383:Ogren, Marcus (2024-05-08). 2155:Ogren, Marcus (2024-08-01). 1468:negative voting weight event 1259:2022 Alaska special election 1113:2022 Alaska special election 1070:majority-preferred candidate 910:Condorcet dominance theorems 850:Social and collective choice 7: 4375:Graduated majority judgment 3183:DeGroot, Morris H. (1970). 3097:Handbook on Approval Voting 1823: 1253: 576:By mechanism of combination 347:Proportional representation 10: 4833: 4627:Condorcet winner criterion 4318:First-past-the-post voting 3878:10.1007/s10602-023-09393-1 3236:10.1007/s10726-022-09799-6 2905:American Politics Research 2764:Vishwanath, Arjun (2021). 2312:10.1007/s10602-022-09378-6 1501: 1262: 1176:ranked-choice voting (RCV) 1023:ranked-choice voting (RCV) 774:Multiple districts paradox 505:Fractional approval voting 493:Interactive representation 4817:Electoral system criteria 4782: 4774:Voting systems by country 4761: 4715: 4677:Mutual majority criterion 4632:Condorcet loser criterion 4619: 4586: 4578:Vote linkage mixed system 4533: 4498: 4490:Largest remainders method 4465: 4392: 4383: 4234: 4217: 3782:10.1007/s11127-013-0118-2 3106:10.1007/978-3-642-02839-7 2918:10.1177/1532673X211009499 2497:10.1177/13540688231189363 1785: 1760: 1732: 1525:Vermont Progressive Party 1289: 1281: 1271: 1025:. In a center squeeze, a 721:Paradoxes and pathologies 570:Mixed-member proportional 565:Mixed-member majoritarian 560:By results of combination 451:Approval-based committees 4667:Majority loser criterion 4553:Additional member system 4511:Hagenbach-Bischoff quota 4430:Single transferable vote 4355:Positional voting system 4291:Minimax Condorcet method 4249:Combined approval voting 3020:10.1177/0951629808097286 2743:10.1177/0010414005285035 2701:10.1177/0010414005285032 2333:Merrill, Samuel (1984). 1911:Merrill, Samuel (1984). 1865:Merrill, Samuel (1985). 1206:Susceptibility by system 1168:plurality-with-primaries 1019:plurality-with-primaries 900:Condorcet's jury theorem 701:Double simultaneous vote 676:Rural–urban proportional 671:Dual-member proportional 633: 622: 589:Parallel (superposition) 481:Fractional social choice 468:Expanding approvals rule 297: 282: 267: 198: 187: 163: 4692:Resolvability criterion 4682:Participation criterion 4657:Later-no-harm criterion 4473:Highest averages method 4075:SSRN Electronic Journal 2977:Common Ground Democracy 2770:SSRN Electronic Journal 2518:Lewyn, Michael (2012). 2204:Lewyn, Michael (2012). 2111:Lewyn, Michael (2012). 1552:majority-rule principle 1476:social choice theorists 1460:social choice theorists 1437:social choice theorists 1086:social choice theorists 1039:base of core supporters 827:Tyranny of the majority 604:Fusion (majority bonus) 421:Quota-remainder methods 4733:First-preference votes 4672:Monotonicity criterion 4642:Independence of clones 4345:Simple majoritarianism 4115:"IRV and Core Support" 4077:. Elsevier BV: 10–12. 2436:Black, Duncan (1948). 2041:"IRV and Core Support" 1056:along the traditional 961:Mathematics portal 867:Majority impossibility 856:Impossibility theorems 652:Negative vote transfer 473:Method of equal shares 94: 59: 4637:Consistency criterion 4558:Alternative vote plus 4323:Instant-runoff voting 3267:. September 2, 2022. 3044:Cox, Gary W. (1985). 1514:2006 mayoral election 1464:pathological behavior 1244:anti-plurality voting 1011:plurality-elimination 764:Best-is-worst paradox 753:Pathological response 488:Direct representation 141:Single-winner methods 93: 33: 4707:Seats-to-votes ratio 4478:Webster/Sainte-LaguĂ« 4083:10.2139/ssrn.2670462 3973:10.2139/ssrn.2670462 3685:on November 29, 2007 2778:10.2139/ssrn.3802566 2621:10.1017/psrm.2016.43 1192:rated voting systems 1188:median voter theorem 948:Economics portal 895:Median voter theorem 114:Comparative politics 4687:Plurality criterion 4286:Kemeny–Young method 3899:. Penguin. p.  2579:electionlab.mit.edu 1510:Burlington, Vermont 936:Politics portal 647:Vote linkage system 618:Seat linkage system 205:Ranked-choice (RCV) 4728:Election threshold 4662:Majority criterion 4338:Supplementary vote 4060:City of Burlington 3679:City of Burlington 1883:10.1007/bf00127534 1153:rated-voting rules 1058:political spectrum 1027:majority-preferred 832:Discursive dilemma 791:Lesser evil voting 666:Supermixed systems 369:Largest remainders 227:Round-robin voting 95: 60: 4799: 4798: 4697:Reversal symmetry 4606:Cumulative voting 4588:Semi-proportional 4563:Mixed single vote 4529: 4528: 4405:Mixed single vote 4313:Exhaustive ballot 4276:Copeland's method 4271:Condorcet methods 4211:Electoral systems 4027:Rutlandherald.com 3823:on July 26, 2011. 3115:978-3-642-02838-0 2530:. Rochester, NY. 2216:. Rochester, NY. 2161:Electoral Studies 2123:. Rochester, NY. 1789: 1788: 1631:4064 (Montroll) – 1623:4597 (Montroll) – 1615:4570 (Montroll) – 1607:6262 (Montroll) – 1413: 1412: 1409: 1408: 1043:first preferences 995: 994: 882:Gibbard's theorem 822:Dominance paradox 759:Perverse response 463:Phragmen's method 329:Majority judgment 257:Positional voting 215:Condorcet methods 83:electoral systems 36:political compass 16:(Redirected from 4824: 4738:Liquid democracy 4390: 4389: 4370:Two-round system 4281:Dodgson's method 4204: 4197: 4190: 4181: 4180: 4143:"Center squeeze" 4130: 4129: 4127: 4125: 4111: 4105: 4104: 4094: 4070: 4064: 4063: 4062:. March 2, 2010. 4057: 4049: 4043: 4042: 4040: 4038: 4033:on March 4, 2016 4019: 4013: 4012: 4004: 3998: 3997: 3984: 3960: 3954: 3953: 3951: 3927: 3918: 3917: 3898: 3888: 3882: 3881: 3861: 3855: 3854: 3848: 3846: 3831: 3825: 3824: 3812: 3806: 3805: 3765: 3759: 3758: 3727: 3721: 3720: 3718: 3716: 3711:on July 25, 2011 3701: 3695: 3694: 3692: 3690: 3681:. Archived from 3675:"Mayor Bob Kiss" 3671: 3665: 3656: 3647: 3646: 3644: 3632: 3626: 3625: 3620: 3608: 3602: 3601: 3595: 3594: 3579: 3573: 3572: 3532: 3526: 3525: 3520: 3508: 3502: 3501: 3499: 3498: 3472: 3466: 3465: 3433: 3420: 3419: 3414: 3402: 3393: 3392: 3386: 3385: 3370: 3361: 3360: 3355: 3343: 3334: 3333: 3331: 3319: 3308: 3307: 3302: 3290: 3284: 3283: 3281: 3279: 3273: 3262: 3254: 3248: 3247: 3230:(6): 1097–1120. 3215: 3209: 3208: 3180: 3174: 3173: 3133: 3124: 3123: 3091: 3082: 3081: 3041: 3032: 3031: 2999: 2990: 2989: 2984: 2983: 2968: 2962: 2961: 2937: 2931: 2930: 2920: 2896: 2887: 2886: 2884: 2883: 2857: 2846: 2845: 2839: 2838: 2823: 2817: 2816: 2811: 2799: 2790: 2789: 2761: 2755: 2754: 2722: 2716: 2715: 2680: 2674: 2673: 2667: 2666: 2660:The Conversation 2651: 2645: 2644: 2623: 2599: 2593: 2592: 2586: 2585: 2571: 2565: 2564: 2562: 2561: 2546: 2540: 2539: 2524:6 Phoenix L. Rev 2515: 2509: 2508: 2480: 2474: 2473: 2433: 2424: 2423: 2421: 2420: 2413:buffett.cnbc.com 2405: 2399: 2398: 2396: 2395: 2380: 2374: 2373: 2330: 2324: 2323: 2291: 2280: 2279: 2236: 2230: 2229: 2210:6 Phoenix L. Rev 2201: 2195: 2194: 2176: 2152: 2141: 2140: 2117:6 Phoenix L. 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By contrast, 1145:Hillary Clinton 1139:defeating both 1117:Nick Begich III 1066:Black's theorem 1013:rules like the 991: 953: 952: 940: 928: 920: 919: 886: 862:Arrow's theorem 852: 842: 841: 810: 780: 769:No-show paradox 750: 736:Cloning paradox 726:Spoiler effects 723: 713: 712: 687: 574: 557: 547: 546: 519: 510:Maximal lottery 477: 458:Thiele's method 447: 417: 349: 339: 338: 324:Approval voting 312:Cardinal voting 308: 253: 247:Maximal lottery 211: 143: 133: 28: 23: 22: 15: 12: 11: 5: 4830: 4820: 4819: 4814: 4797: 4796: 4783: 4780: 4779: 4777: 4776: 4771: 4765: 4763: 4759: 4758: 4756: 4755: 4750: 4745: 4740: 4735: 4730: 4725: 4719: 4717: 4713: 4712: 4710: 4709: 4704: 4699: 4694: 4689: 4684: 4679: 4674: 4669: 4664: 4659: 4654: 4649: 4644: 4639: 4634: 4629: 4623: 4621: 4617: 4616: 4614: 4613: 4608: 4603: 4601:Limited voting 4598: 4592: 4590: 4584: 4583: 4581: 4580: 4575: 4570: 4565: 4560: 4555: 4550: 4545: 4539: 4537: 4531: 4530: 4527: 4526: 4524: 4523: 4518: 4513: 4508: 4502: 4500: 4496: 4495: 4493: 4492: 4487: 4486: 4485: 4480: 4469: 4467: 4463: 4462: 4460: 4459: 4454: 4449: 4448: 4447: 4442: 4437: 4427: 4422: 4417: 4412: 4407: 4402: 4396: 4394: 4387: 4381: 4380: 4378: 4377: 4372: 4367: 4362: 4357: 4352: 4347: 4342: 4341: 4340: 4335: 4330: 4328:Coombs' method 4320: 4315: 4310: 4309: 4308: 4306:Schulze method 4303: 4298: 4293: 4288: 4283: 4278: 4268: 4266:Bucklin voting 4263: 4258: 4257: 4256: 4251: 4240: 4238: 4232: 4231: 4218: 4215: 4214: 4207: 4206: 4199: 4192: 4184: 4178: 4177: 4172: 4165: 4164:External links 4162: 4161: 4160: 4146:, authored by 4132: 4131: 4106: 4065: 4044: 4014: 3999: 3955: 3932:Phoenix L. Rev 3919: 3909: 3883: 3872:(3): 378–389. 3856: 3826: 3807: 3760: 3722: 3696: 3666: 3648: 3627: 3603: 3574: 3547:(2): 303–311. 3527: 3503: 3467: 3421: 3394: 3362: 3335: 3309: 3285: 3249: 3210: 3195: 3175: 3148:(1): 102–114. 3125: 3114: 3083: 3056:(1): 112–118. 3033: 3014:(1): 113–136. 2991: 2963: 2932: 2911:(6): 618–636. 2888: 2847: 2818: 2791: 2756: 2737:(5): 663–666. 2717: 2695:(5): 623–651. 2675: 2646: 2614:(4): 809–827. 2594: 2566: 2541: 2510: 2489:Party Politics 2475: 2454:10.1086/256633 2425: 2400: 2375: 2325: 2306:(3): 445–457. 2281: 2251:(1): 134–147. 2231: 2196: 2142: 2103: 2073:(2): 426–448. 2057: 2032: 2002:(1): 134–147. 1982: 1953: 1900: 1877:(2): 389–403. 1842: 1839: 1838: 1837: 1832: 1830:Vote splitting 1825: 1822: 1818: 1817: 1811: 1805: 1799: 1787: 1786: 1784: 1781:0 W : 4 L 1777: 1770: 1762: 1761: 1759: 1756:1 W : 3 L 1752: 1750:721 (Simpson) 1747:5570 (Smith) – 1744: 1737: 1734: 1733: 1731: 1728:2 W : 2 L 1724: 1716: 1708: 1701: 1693: 1692: 1690: 1687:3 W : 1 L 1683: 1681:4061 (Wright) 1675: 1667: 1665:844 (Simpson) 1659: 1652: 1644: 1643: 1640:4 W : 0 L 1636: 1628: 1626:3664 (Wright) 1620: 1612: 1610:591 (Simpson) 1604: 1597: 1589: 1588: 1583: 1580: 1577: 1574: 1571: 1568: 1532:mathematicians 1502:Main article: 1499: 1496: 1411: 1410: 1407: 1406: 1401: 1396: 1389: 1383: 1382: 1375: 1368: 1361: 1357: 1356: 1351: 1346: 1341: 1337: 1336: 1333: 1328: 1321: 1317: 1316: 1309: 1302: 1295: 1287: 1286: 1283: 1279: 1278: 1263:Main article: 1260: 1257: 1255: 1252: 1248:Coombs' method 1207: 1204: 1133:Bernie Sanders 1104:, and various 1007:spoiler effect 1003:center squeeze 993: 992: 990: 989: 982: 975: 967: 964: 963: 951: 950: 938: 925: 922: 921: 918: 917: 912: 907: 902: 897: 885: 884: 879: 874: 869: 864: 853: 848: 847: 844: 843: 840: 839: 834: 829: 824: 809: 808: 806:Turkey-raising 803: 798: 793: 779: 778: 777: 776: 766: 761: 749: 748: 746:Center squeeze 743: 738: 733: 731:Spoiler effect 724: 719: 718: 715: 714: 711: 710: 705: 704: 703: 690:By ballot type 686: 685: 684: 683: 678: 673: 663: 662: 661: 660: 659: 654: 644: 643: 642: 631: 608: 607: 606: 601: 596: 591: 573: 572: 567: 558: 553: 552: 549: 548: 545: 544: 542:Limited voting 539: 538: 537: 518: 517: 512: 507: 502: 501: 500: 495: 476: 475: 470: 465: 460: 446: 445: 440: 435: 430: 416: 415: 414: 413: 411:Localized list 408: 403: 398: 393: 383: 382: 381: 379:Biproportional 376: 371: 366: 350: 345: 344: 341: 340: 337: 336: 331: 326: 321: 307: 306: 291: 276: 252: 251: 250: 249: 244: 239: 234: 224: 210: 209: 208: 207: 196: 183:Instant-runoff 180: 179: 178: 170:Jungle primary 157: 146:Single vote - 144: 139: 138: 135: 134: 132: 131: 121: 116: 111: 106: 100: 97: 96: 86: 85: 75: 74: 42:. The bias of 26: 18:Center-squeeze 9: 6: 4: 3: 2: 4829: 4818: 4815: 4813: 4812:Voting theory 4810: 4809: 4807: 4794: 4793: 4788: 4787: 4781: 4775: 4772: 4770: 4767: 4766: 4764: 4760: 4754: 4751: 4749: 4746: 4744: 4741: 4739: 4736: 4734: 4731: 4729: 4726: 4724: 4721: 4720: 4718: 4714: 4708: 4705: 4703: 4700: 4698: 4695: 4693: 4690: 4688: 4685: 4683: 4680: 4678: 4675: 4673: 4670: 4668: 4665: 4663: 4660: 4658: 4655: 4653: 4650: 4648: 4645: 4643: 4640: 4638: 4635: 4633: 4630: 4628: 4625: 4624: 4622: 4618: 4612: 4609: 4607: 4604: 4602: 4599: 4597: 4594: 4593: 4591: 4589: 4585: 4579: 4576: 4574: 4571: 4569: 4566: 4564: 4561: 4559: 4556: 4554: 4551: 4549: 4546: 4544: 4541: 4540: 4538: 4536: 4532: 4522: 4519: 4517: 4514: 4512: 4509: 4507: 4504: 4503: 4501: 4497: 4491: 4488: 4484: 4481: 4479: 4476: 4475: 4474: 4471: 4470: 4468: 4464: 4458: 4455: 4453: 4450: 4446: 4443: 4441: 4438: 4436: 4433: 4432: 4431: 4428: 4426: 4423: 4421: 4418: 4416: 4413: 4411: 4408: 4406: 4403: 4401: 4398: 4397: 4395: 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3770:Public Choice 3764: 3757: 3753: 3749: 3745: 3741: 3737: 3733: 3726: 3710: 3706: 3700: 3684: 3680: 3676: 3670: 3664: 3660: 3655: 3653: 3643: 3638: 3631: 3624: 3619: 3614: 3607: 3600: 3589: 3585: 3578: 3570: 3566: 3562: 3558: 3554: 3550: 3546: 3542: 3538: 3531: 3524: 3519: 3514: 3507: 3493: 3489: 3485: 3481: 3477: 3471: 3463: 3459: 3455: 3451: 3447: 3443: 3442:Math Horizons 3439: 3432: 3430: 3428: 3426: 3418: 3413: 3408: 3401: 3399: 3391: 3380: 3376: 3369: 3367: 3359: 3354: 3349: 3342: 3340: 3330: 3325: 3318: 3316: 3314: 3306: 3301: 3296: 3289: 3270: 3266: 3259: 3253: 3245: 3241: 3237: 3233: 3229: 3225: 3221: 3214: 3206: 3202: 3198: 3196:9780471680291 3192: 3188: 3187: 3179: 3171: 3167: 3163: 3159: 3155: 3151: 3147: 3143: 3139: 3132: 3130: 3122: 3117: 3111: 3107: 3103: 3099: 3098: 3090: 3088: 3079: 3075: 3071: 3067: 3063: 3059: 3055: 3051: 3047: 3040: 3038: 3029: 3025: 3021: 3017: 3013: 3009: 3005: 2998: 2996: 2988: 2978: 2974: 2967: 2959: 2955: 2951: 2947: 2943: 2936: 2928: 2924: 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By 640:'MMP' 629:'AMS' 4224:and 4156:GFDL 4154:and 4126:2019 4097:ISSN 4039:2016 3987:SSRN 3940:SSRN 3905:ISBN 3847:2017 3786:ISSN 3748:ISSN 3717:2018 3691:2007 3557:ISSN 3488:ISSN 3458:ISSN 3280:2022 3240:ISSN 3191:ISBN 3158:ISSN 3110:ISBN 3066:ISSN 3024:ISSN 2923:ISSN 2873:ISSN 2782:ISSN 2747:ISSN 2705:ISSN 2634:SSRN 2626:ISSN 2532:SSRN 2501:ISSN 2458:ISSN 2355:ISSN 2316:ISSN 2261:ISSN 2218:SSRN 2187:ISSN 2125:SSRN 2052:2019 2012:ISSN 1933:ISSN 1887:ISSN 1802:Kiss 1534:and 1484:STAR 1472:more 1431:and 1182:and 1159:and 1143:and 1135:and 1102:Fiji 1029:and 1001:, a 581:Non- 535:SNTV 124:List 81:and 69:and 44:FPTP 4548:MMP 4087:hdl 4079:doi 3977:hdl 3969:doi 3901:385 3874:doi 3778:doi 3774:161 3740:doi 3549:doi 3450:doi 3232:doi 3150:doi 3102:doi 3058:doi 3016:doi 2954:doi 2913:doi 2774:doi 2739:doi 2697:doi 2616:doi 2528:117 2493:doi 2450:doi 2347:doi 2308:doi 2253:doi 2214:117 2179:doi 2136:IRV 2121:117 2075:doi 2004:doi 1925:doi 1879:doi 1246:or 1198:or 1157:IRV 1151:or 997:In 299:el. 284:el. 273:IRV 269:el. 56:RCV 50:or 4808:: 4789:— 4117:. 4095:. 4085:. 4058:. 4025:. 3993:. 3985:. 3975:. 3946:. 3934:. 3922:^ 3913:. 3903:. 3870:34 3868:. 3849:. 3838:. 3800:. 3792:. 3784:. 3772:. 3754:. 3746:. 3736:67 3734:. 3677:. 3651:^ 3621:. 3596:. 3586:. 3563:. 3555:. 3545:21 3543:. 3539:. 3521:. 3486:. 3482:. 3456:. 3446:31 3444:. 3440:. 3424:^ 3415:. 3397:^ 3387:. 3377:. 3365:^ 3356:. 3338:^ 3312:^ 3303:. 3263:. 3238:. 3228:31 3226:. 3222:. 3201:MR 3199:. 3164:. 3156:. 3146:87 3144:. 3140:. 3128:^ 3118:. 3108:. 3086:^ 3072:. 3064:. 3054:29 3052:. 3048:. 3036:^ 3022:. 3012:21 3010:. 3006:. 2994:^ 2985:. 2975:. 2952:. 2950:71 2948:. 2944:. 2921:. 2909:49 2907:. 2903:. 2891:^ 2871:. 2867:. 2850:^ 2840:. 2830:. 2812:. 2794:^ 2780:. 2772:. 2768:. 2745:. 2735:39 2733:. 2729:. 2711:. 2703:. 2693:39 2691:. 2687:. 2668:. 2658:. 2640:. 2632:. 2624:. 2610:. 2606:. 2587:. 2577:. 2553:. 2526:. 2522:. 2499:. 2491:. 2487:. 2464:. 2456:. 2446:56 2444:. 2440:. 2428:^ 2411:. 2387:. 2369:. 2361:. 2353:. 2343:28 2341:. 2337:. 2314:. 2304:34 2302:. 2298:. 2284:^ 2275:. 2267:. 2259:. 2249:46 2247:. 2243:. 2224:. 2212:. 2208:. 2185:. 2177:. 2165:90 2163:. 2159:. 2145:^ 2131:. 2119:. 2115:. 2097:. 2089:. 2081:. 2071:64 2069:. 2043:. 2026:. 2018:. 2010:. 2000:46 1998:. 1994:. 1975:. 1965:. 1947:. 1939:. 1931:. 1921:28 1919:. 1915:. 1903:^ 1893:. 1885:. 1875:47 1873:. 1869:. 1847:^ 1776:) 1743:) 1707:) 1658:) 1603:) 1494:. 1486:, 1250:. 1170:, 1106:US 1100:, 1096:, 1092:, 1080:. 1017:, 635:NZ 624:UK 200:US 189:UK 172:) 165:US 46:, 4203:e 4196:t 4189:v 4128:. 4103:. 4089:: 4081:: 4041:. 4011:. 3979:: 3971:: 3936:6 3880:. 3876:: 3780:: 3742:: 3719:. 3693:. 3645:. 3639:: 3615:: 3571:. 3551:: 3515:: 3500:. 3464:. 3452:: 3409:: 3350:: 3332:. 3326:: 3297:: 3282:. 3246:. 3234:: 3207:. 3172:. 3152:: 3104:: 3080:. 3060:: 3030:. 3018:: 2960:. 2956:: 2929:. 2915:: 2885:. 2806:: 2788:. 2776:: 2753:. 2741:: 2699:: 2618:: 2612:6 2563:. 2538:. 2507:. 2495:: 2472:. 2452:: 2422:. 2397:. 2349:: 2322:. 2310:: 2255:: 2193:. 2181:: 2171:: 2077:: 2054:. 2006:: 1927:: 1881:: 1774:G 1741:I 1705:R 1656:P 1601:D 1427:( 1419:( 1050:, 986:e 979:t 972:v 637:: 626:: 305:) 296:( 290:) 281:( 275:) 266:( 202:: 191:: 167:: 162:( 130:) 126:( 20:)

Index

Center-squeeze

political compass
heatmap
FPTP
runoffs
primaries
RCV
Politics
Economics
Social choice
electoral systems

Social choice
Mechanism design
Comparative politics
Comparison
List
By country
Single-winner methods
plurality
First preference plurality (FPP)
Two-round
US
Jungle primary
Partisan primary
Instant-runoff
UK
Alternative vote
US

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