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A concept of sincerity for combinatorial voting

Author

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  • Francesco De Sinopoli

    (Department of Economics (University of Verona))

  • Claudia Meroni

    (Department of Economics (University of Verona))

Abstract

A basic problem in voting theory is that all the strategy profiles in which nobody is pivotal are Nash equilibria. We study elections where voters decide simultaneously on several binary issues. We extend the concept of conditional sincerity introduced by Alesina and Rosenthal (1996) and propose an intuitive and simple criterion to refine equilibria in which players are not pivotal. This is shown to have a foundation in a refinement of perfection that takes into account the material voting procedure. We prove that in large elections the proposed solution is characterized through a weaker definition of Condorcet winner and always survives sophisticated voting.

Suggested Citation

  • Francesco De Sinopoli & Claudia Meroni, 2017. "A concept of sincerity for combinatorial voting," Working Papers 01/2017, University of Verona, Department of Economics.
    • Handle: RePEc:ver:wpaper:01/2017
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    References listed on IDEAS

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    1. Jean-François Laslier & Karine Straeten, 2016. "Strategic voting in multi-winner elections with approval balloting: a theory for large electorates," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(3), pages 559-587, October.
    2. Francesco De Sinopoli & Leo Ferraris & Giovanna Iannantuoni, 2015. "Moderating Government," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(2), pages 415-440, September.
    3. Francesco De Sinopoli, 2000. "Sophisticated voting and equilibrium refinements under plurality rule," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 17(4), pages 655-672.
    4. Steven J. Brams & William S. Zwicker & D. Marc Kilgour, 1998. "The paradox of multiple elections," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 15(2), pages 211-236.
    5. Alesina, Alberto & Rosenthal, Howard, 1996. "A Theory of Divided Government," Econometrica, Econometric Society, vol. 64(6), pages 1311-1341, November.
    6. Gerard Debreu, 1963. "On a Theorem of Scarf," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 30(3), pages 177-180.
    7. David S. Ahn & Santiago Oliveros, 2012. "Combinatorial Voting," Econometrica, Econometric Society, vol. 80(1), pages 89-141, January.
    8. Kohlberg, Elon & Mertens, Jean-Francois, 1986. "On the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 54(5), pages 1003-1037, September.
    9. Wichardt, Philipp C., 2008. "Existence of Nash equilibria in finite extensive form games with imperfect recall: A counterexample," Games and Economic Behavior, Elsevier, vol. 63(1), pages 366-369, May.
    10. Brams, Steven J. & Kilgour, D. Marc & Zwicker, William, 1997. "Voting on Referenda: The Separability Problem and Possible Solutions," Working Papers 97-15, C.V. Starr Center for Applied Economics, New York University.
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    Cited by:

    1. Gallo, Andrea & Meroni, Claudia, 2021. "Towards a solution concept for network formation games," Economics Letters, Elsevier, vol. 198(C).

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    More about this item

    Keywords

    Voting theory; multi-issue elections; strategic voting; perfect equilibrium.;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

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