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Further remarks on strategic stability in plurality games

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  • DE SINOPOLI, Francesco

    (Center for Operations Research and Econometrics (CORE), Université catholique de Louvain (UCL), 1348 Louvain la Neuve, Belgium)

Abstract

In this note we show that, for generic plurality games (i.e., voting games under plurality rule), an equilibrium that induces a mixed distribution over the outcomes (i.e., with two or more candidates elected with positive probability), is regular and, hence, a Mertens' stable set. Furthermore, we show that stronger equilibrium concepts, than stability, do not guarantee the existence of a solution for some generic plurality games. A final example shows the weakness of the simple sophisticated voting principle.

Suggested Citation

  • DE SINOPOLI, Francesco, 1999. "Further remarks on strategic stability in plurality games," LIDAM Discussion Papers CORE 1999030, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvco:1999030
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    References listed on IDEAS

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    1. Myerson, Roger B. & Weber, Robert J., 1993. "A Theory of Voting Equilibria," American Political Science Review, Cambridge University Press, vol. 87(1), pages 102-114, March.
    2. DE SINOPOLI, Francesco, 1998. "Strategic stability and non cooperative voting games: the plurality rule," LIDAM Discussion Papers CORE 1998043, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    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. DE SINOPOLI, Francesco, 1998. "Two results about generic non cooperative voting games with plurality rule," LIDAM Discussion Papers CORE 1998034, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    6. 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.
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    More about this item

    Keywords

    Plurality rule; regular equilibria; sophisticated voting; 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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