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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

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Bibliographic Info

Article provided by Springer in its journal Economic Theory.

Volume (Year): 25 (2005)
Issue (Month): 2 (02)
Pages: 477-486

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Handle: RePEc:spr:joecth:v:25:y:2005:i:2:p:477-486

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Keywords: Plurality rule; Regular equilibria; Stable sets.;

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References

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  1. Marco A. Haan & Peter Kooreman, 2003. "How majorities can lose the election Another voting paradox," Social Choice and Welfare, Springer, Springer, vol. 20(3), pages 509-522, 06.
  2. 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.
  3. Govindan, S & McLennan, A, 1997. "On the Generic Finiteness of Equilibrium Outcome Distributions in Game Forms," Papers, Minnesota - Center for Economic Research 299, Minnesota - Center for Economic Research.
  4. Mertens, J.-F., 1988. "Stable equilibria - a reformulation," CORE Discussion Papers, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) 1988038, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  5. Lawrence E. Blume & William R. Zame, 1993. "The Algebraic Geometry of Perfect and Sequential Equilibrium," Game Theory and Information, EconWPA 9309001, EconWPA.
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Cited by:
  1. 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.
  2. Tasos Kalandrakis, 2009. "Robust rational turnout," Economic Theory, Springer, Springer, vol. 41(2), pages 317-343, November.
  3. Pimienta, Carlos, 2009. "Generic determinacy of Nash equilibrium in network-formation games," Games and Economic Behavior, Elsevier, vol. 66(2), pages 920-927, July.
  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. Tasos Kalandrakis, 2005. "On Participation Games with Complete Information," Wallis Working Papers, University of Rochester - Wallis Institute of Political Economy WP40, University of Rochester - Wallis Institute of Political Economy.
  6. Francesco De Sinopoli & Carlos Pimienta, 2009. "Costly Network Formation and Regular Equilibria," Discussion Papers, School of Economics, The University of New South Wales 2009-05, School of Economics, The University of New South Wales.

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