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On the generic strategic stability of Nash equilibria if voting is costly

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  • Francesco Sinopoli
  • Giovanna Iannantuoni

Abstract

We prove that for generic plurality games with positive cost of voting, the number of Nash equilibria is finite. Furthermore all the equilibria are regular, hence stable sets as singletons. Copyright Springer-Verlag Berlin/Heidelberg 2005

Suggested Citation

  • Francesco Sinopoli & Giovanna Iannantuoni, 2005. "On the generic strategic stability of Nash equilibria if voting is costly," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 25(2), pages 477-486, February.
    • Handle: RePEc:spr:joecth:v:25:y:2005:i:2:p:477-486
    DOI: 10.1007/s00199-003-0441-9
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    References listed on IDEAS

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    1. De Sinopoli, Francesco, 2001. "On the Generic Finiteness of Equilibrium Outcomes in Plurality Games," Games and Economic Behavior, Elsevier, vol. 34(2), pages 270-286, February.
    2. Blume, Lawrence E & Zame, William R, 1994. "The Algebraic Geometry of Perfect and Sequential Equilibrium," Econometrica, Econometric Society, vol. 62(4), pages 783-794, July.
    3. Jean-François Mertens, 1989. "Stable Equilibria---A Reformulation," Mathematics of Operations Research, INFORMS, vol. 14(4), pages 575-625, November.
    4. MERTENS, Jean-François, 1989. "Stable equilibria - a reformulation. Part I. Definition and basic properties," LIDAM Reprints CORE 866, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    5. Govindan, Srihari & McLennan, Andrew, 2001. "On the Generic Finiteness of Equilibrium Outcome Distributions in Game Forms," Econometrica, Econometric Society, vol. 69(2), pages 455-471, March.
    6. Marco A. Haan & Peter Kooreman, 2003. "How majorities can lose the election Another voting paradox," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 20(3), pages 509-522, June.
    7. Palfrey, Thomas R. & Rosenthal, Howard, 1985. "Voter Participation and Strategic Uncertainty," American Political Science Review, Cambridge University Press, vol. 79(1), pages 62-78, March.
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    Cited by:

    1. Pimienta, Carlos, 2009. "Generic determinacy of Nash equilibrium in network-formation games," Games and Economic Behavior, Elsevier, vol. 66(2), pages 920-927, July.
    2. Tasos Kalandrakis, 2007. "On participation games with complete information," International Journal of Game Theory, Springer;Game Theory Society, vol. 35(3), pages 337-352, February.
    3. Tasos Kalandrakis, 2009. "Robust rational turnout," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 41(2), pages 317-343, November.
    4. Pimienta, Carlos, 2010. "Generic finiteness of outcome distributions for two-person game forms with three outcomes," Mathematical Social Sciences, Elsevier, vol. 59(3), pages 364-365, May.
    5. De Sinopoli, F. & Iannantuoni, G., 2005. "On Asymmetric Behaviors if Voting is Costly," Cambridge Working Papers in Economics 0521, Faculty of Economics, University of Cambridge.
    6. De Sinopoli, Francesco & Pimienta, Carlos, 2010. "Costly network formation and regular equilibria," Games and Economic Behavior, Elsevier, vol. 69(2), pages 492-497, July.

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    More about this item

    Keywords

    Plurality rule; Regular equilibria; Stable sets.;
    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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