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When are plurality rule voting games dominance-solvable?

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  • Dhillon, Amrita
  • Lockwood, Ben

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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Bibliographic Info

Article provided by Elsevier in its journal Games and Economic Behavior.

Volume (Year): 46 (2004)
Issue (Month): 1 (January)
Pages: 55-75

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Handle: RePEc:eee:gamebe:v:46:y:2004:i:1:p:55-75

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Web page: http://www.elsevier.com/locate/inca/622836

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  1. 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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  15. Lepelley, Dominique, 1993. "On the probability of electing the Condorcet," Mathematical Social Sciences, Elsevier, vol. 25(2), pages 105-116, February.
  16. Dhillon, Amrita & Lockwood, Ben, 2004. "When are plurality rule voting games dominance-solvable?," Games and Economic Behavior, Elsevier, vol. 46(1), pages 55-75, January.
  17. 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.
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Citations

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Cited by:
  1. 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.
  2. 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).
  3. Lucia Buenrostro & Amrita Dhillon & Peter Vida, 2013. "Scoring rule voting games and dominance solvability," Social Choice and Welfare, Springer, vol. 40(2), pages 329-352, February.
  4. Joaquín Pérez & Omar De la Cruz, 2014. "Implementation of Jefferson-d’Hondt rule in the formation of a parliamentary committee," Social Choice and Welfare, Springer, vol. 42(1), pages 17-30, January.
  5. Le Borgne, Eric & Lockwood, Ben, 2000. "Candidate Entry, Screening, and the Political Budget Cycle," The Warwick Economics Research Paper Series (TWERPS) 582, University of Warwick, Department of Economics.
  6. Laurent Denant-Boèmont & Enrico Diecidue & Olivier L'Haridon, 2013. "Patience and Time Consistency in Collective Decisions," Economics Working Paper Archive (University of Rennes 1 & University of Caen) 201329, Center for Research in Economics and Management (CREM), University of Rennes 1, University of Caen and CNRS.
  7. Bryan McCannon, 2009. "Can the majority lose the election?," Review of Economic Design, Springer, vol. 13(4), pages 305-317, December.
  8. Sebastien Courtin & Matias Nunez, 2013. "Dominance Solvable Approval Voting Games," Working Papers hal-00914890, HAL.
  9. 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.
  10. Ben Lockwood & Eric Le Borgne, 2003. "Do Elections Always Motivate Incumbents? Experimentation vs. Career Concerns," IMF Working Papers 03/57, International Monetary Fund.
  11. Dhillon, A. & Lockwood, B., 1999. "When are Plurality Rule Voting Games Dominance-Solvable?," The Warwick Economics Research Paper Series (TWERPS) 549, University of Warwick, Department of Economics.
  12. 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.
  13. Bag, Parimal Kanti & Sabourian, Hamid & Winter, Eyal, 2009. "Multi-stage voting, sequential elimination and Condorcet consistency," Journal of Economic Theory, Elsevier, vol. 144(3), pages 1278-1299, May.
  14. M. Braham & F. Steffen, 2007. "The Chairman’s Paradox Revisited," Social Choice and Welfare, Springer, vol. 28(2), pages 231-253, February.
  15. Dellis, Arnaud, 2010. "Weak undominance in scoring rule elections," Mathematical Social Sciences, Elsevier, vol. 59(1), pages 110-119, January.
  16. Francesco De Sinopoli & Giovanna Iannantuoni & Carlos Pimienta, 2012. "Scoring Rules: A Game-Theoretical Analysis," Discussion Papers 2012-40, School of Economics, The University of New South Wales.

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