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When are Plurality Rule Voting Games Dominance-Solvable?

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Author Info
Dhillon, A.
Lockwood, B.

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Abstract

This paper studies the dominance-solvability (by iterated deletion of weakly dominated strategies) of plurality rule voting games. For K > 3 alternatives and n > 3 voters, we find sufficient conditions for the game to be dominance-solvable (DS) and not to be DS. These conditions can be stated in terms of only one statistic of the game, the largest proportion of voters who agree on which alternative is worst in a sequence of subsets of the original set of alternatives. When n is large, "almost all" games can be classified as either DS or not DS. If the game is DS, a Condorcet Winner always exists when n > 4, and the outcome is always the Condorcet Winner when the electorate is sufficiently replicated.

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File URL: http://www2.warwick.ac.uk/fac/soc/economics/research/workingpapers/publications/plural.pdf
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Paper provided by University of Warwick, Department of Economics in its series The Warwick Economics Research Paper Series (TWERPS) with number 549.

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Length: 40 pages
Date of creation: 1999
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Handle: RePEc:wrk:warwec:549

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Related research
Keywords: VOTING ; GAMES ; DEMOCRACY;

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Find related papers by JEL classification:
C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Models of Political Processes: Rent-seeking, Elections, Legislatures, and Voting Behavior

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  1. DE SINOPOLI, Francesco & TURRINI, Alessandro, 1999. "A remark on votersÕ rationality in Besley and coate model of representative democracy," CORE Discussion Papers 1999027, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE). [Downloadable!]
  2. Forsythe, Robert, et al, 1996. "An Experimental Study of Voting Rules and Polls in Three-Candidate Elections," International Journal of Game Theory, Springer, vol. 25(3), pages 355-83.
  3. Levin, Jonathan & Nalebuff, Barry, 1995. "An Introduction to Vote-Counting Schemes," Journal of Economic Perspectives, American Economic Association, vol. 9(1), pages 3-26, Winter. [Downloadable!] (restricted)
  4. Myerson, Roger B., 2002. "Comparison of Scoring Rules in Poisson Voting Games," Journal of Economic Theory, Elsevier, vol. 103(1), pages 219-251, March. [Downloadable!] (restricted)
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  5. Rajan, Uday, 1998. "Trembles in the Bayesian Foundations of Solution Concepts of Games," Journal of Economic Theory, Elsevier, vol. 82(1), pages 248-266, September. [Downloadable!] (restricted)
  6. Borgers, Tilman, 1992. "Iterated Elimination of Dominated Strategies in a Bertrand-Edgeworth Model," Review of Economic Studies, Blackwell Publishing, vol. 59(1), pages 163-76, January. [Downloadable!] (restricted)
  7. Roger B. Myerson & Robert J. Weber, 1988. "A Theory of Voting Equilibria," Discussion Papers 782, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
  8. DE SINOPOLI, Francesco, 1998. "Strategic stability and non cooperative voting games: the plurality rule," CORE Discussion Papers 1998043, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE). [Downloadable!]
  9. Mariotti, Marco, 2000. "Maximum Games, Dominance Solvability, and Coordination," Games and Economic Behavior, Elsevier, vol. 31(1), pages 97-105, April. [Downloadable!] (restricted)
  10. Kohlberg, Elon & Mertens, Jean-Francois, 1986. "On the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 54(5), pages 1003-37, September. [Downloadable!] (restricted)
  11. Besley, Timothy & Coate, Stephen, 1997. "An Economic Model of Representative Democracy," The Quarterly Journal of Economics, MIT Press, vol. 112(1), pages 85-114, February.
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Eric Le Borgne & Ben Lockwood, 2002. "Candidate Entry, Screening, and the Political Budget Cycle," IMF Working Papers 02/48, International Monetary Fund. [Downloadable!]
    Other versions:
  2. Eric Le Borgne & Ben Lockwood, 2003. "Do Elections Always Motivate Incumbents? Experimentation vs. Career Concerns," IMF Working Papers 03/57, International Monetary Fund. [Downloadable!]
  3. Vincent Merlin & Jörg Naeve, 2000. "Implementation of Social Choice Functions via Demanding Equilibria," Diskussionspapiere aus dem Institut für Volkswirtschaftslehre der Universität Hohenheim 191/2000, Department of Economics, University of Hohenheim, Germany, revised 25 Sep 2001. [Downloadable!]
  4. Daniel Seidmann, 2006. "Perverse Committee Appointments May Foster Divide and Rule," Discussion Papers 2006-08, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham. [Downloadable!]
  5. DE SINOPOLI, Francesco, 1999. "A note on forward induction in a model of representative democracy," CORE Discussion Papers 1999060, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE). [Downloadable!]
    Other versions:
  6. le Borgne, E. & Lockwood, B., 2000. "Do Elections Always Motivate Incumbents?," The Warwick Economics Research Paper Series (TWERPS) 580, University of Warwick, Department of Economics. [Downloadable!]
  7. Francesco Sinopoli & Giovanna Iannantuoni, 2008. "Extreme voting under proportional representation: the multidimensional case," Social Choice and Welfare, Springer, vol. 30(3), pages 401-417, April. [Downloadable!] (restricted)
    Other versions:
  8. M. Braham & F. Steffen, 2007. "The Chairman’s Paradox Revisited," Social Choice and Welfare, Springer, vol. 28(2), pages 231-253, February. [Downloadable!] (restricted)
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