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A unified analysis of rational voting with private values and group-specific costs

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  • Taylor, Curtis R.
  • Yildirim, Huseyin

Abstract

We provide a unified analysis of the canonical rational voting model with privately known political preferences and costs of voting. Focusing on type-symmetric equilibrium, we show that for small electorates, members of the minority group vote with a strictly higher probability than do those in the majority, but the majority is strictly more likely to win the election. As the electorate size grows without bound, equilibrium outcome is completely determined by the individuals possessing the lowest cost of voting in each political group. We relate our equilibrium characterization to Myerson's Poisson games, and examine the potential uniqueness of equilibrium.

Suggested Citation

  • Taylor, Curtis R. & Yildirim, Huseyin, 2010. "A unified analysis of rational voting with private values and group-specific costs," Games and Economic Behavior, Elsevier, vol. 70(2), pages 457-471, November.
  • Handle: RePEc:eee:gamebe:v:70:y:2010:i:2:p:457-471
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    References listed on IDEAS

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    1. Timothy J. Feddersen, 2004. "Rational Choice Theory and the Paradox of Not Voting," Journal of Economic Perspectives, American Economic Association, vol. 18(1), pages 99-112, Winter.
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    5. Roger B. Myerson, 1998. "Population uncertainty and Poisson games," International Journal of Game Theory, Springer;Game Theory Society, vol. 27(3), pages 375-392.
    6. Myerson, Roger B., 2000. "Large Poisson Games," Journal of Economic Theory, Elsevier, vol. 94(1), pages 7-45, September.
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    8. Anthony Downs, 1957. "An Economic Theory of Political Action in a Democracy," Journal of Political Economy, University of Chicago Press, vol. 65, pages 135-135.
    9. Colin M. Campbell, 1999. "Large Electorates and Decisive Minorities," Journal of Political Economy, University of Chicago Press, vol. 107(6), pages 1199-1217, December.
    10. Ronny Razin, 2003. "Signaling and Election Motivations in a Voting Model with Common Values and Responsive Candidates," Econometrica, Econometric Society, vol. 71(4), pages 1083-1119, July.
    11. repec:cup:apsrev:v:101:y:2007:i:01:p:143-158_07 is not listed on IDEAS
    12. Krasa, Stefan & Polborn, Mattias K., 2009. "Is mandatory voting better than voluntary voting?," Games and Economic Behavior, Elsevier, vol. 66(1), pages 275-291, May.
    13. Jacob Goeree & Jens Großer, 2007. "Welfare Reducing Polls," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 31(1), pages 51-68, April.
    14. Taylor, Curtis & Yildirim, Huseyin, 2005. "Public Information and Electoral Bias," Working Papers 05-11, Duke University, Department of Economics.
    15. Taylor, Curtis R. & Yildirim, Huseyin, 2010. "Public information and electoral bias," Games and Economic Behavior, Elsevier, vol. 68(1), pages 353-375, January.
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    Cited by:

    1. Van Wesep, Edward D., 2014. "The Idealized Electoral College voting mechanism and shareholder power," Journal of Financial Economics, Elsevier, vol. 113(1), pages 90-108.
    2. Dmitriy Vorobyev, 2016. "Participation in fraudulent elections," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 46(4), pages 863-892, April.
    3. Lo Prete, Anna & Revelli, Federico, 2014. "Voter Turnout and City Performance," Department of Economics and Statistics Cognetti de Martiis. Working Papers 201435, University of Turin.
    4. R. Aytimur & Aristotelis Boukouras & Robert Schwager, 2014. "Voting as a signaling device," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 55(3), pages 753-777, April.
    5. Marco Faravelli & Kenan Kalayci & Carlos Pimienta, 2017. "Costly Voting: A Large-scale Real Effort Experiment," Discussion Papers 2017-16, School of Economics, The University of New South Wales.
    6. repec:kap:pubcho:v:172:y:2017:i:3:d:10.1007_s11127-017-0457-5 is not listed on IDEAS
    7. Hans Gersbach & Akaki Mamageishvili & Oriol Tejada, 2017. "Assessment Voting in Large Electorates," Papers 1712.05470, arXiv.org, revised Feb 2018.
    8. Faravelli, Marco & Man, Priscilla & Walsh, Randall, 2015. "Mandate and paternalism: A theory of large elections," Games and Economic Behavior, Elsevier, vol. 93(C), pages 1-23.
    9. Vijay Krishna & John Morgan, 2015. "Majority Rule and Utilitarian Welfare," American Economic Journal: Microeconomics, American Economic Association, vol. 7(4), pages 339-375, November.
    10. repec:eee:gamebe:v:106:y:2017:i:c:p:38-50 is not listed on IDEAS
    11. Melis Kartal, 2015. "Laboratory elections with endogenous turnout: proportional representation versus majoritarian rule," Experimental Economics, Springer;Economic Science Association, vol. 18(3), pages 366-384, September.
    12. Meya, Johannes & Poutvaara, Panu & Schwager, Robert, 2017. "Pocketbook Voting, Social Preferences, and Expressive Motives in Referenda," Discussion Papers in Economics 38425, University of Munich, Department of Economics.

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