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Undominated (and) perfect equilibria in Poisson games

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  • González Pimienta, Carlos
  • De Sinopoli, Francesco

Abstract

In games with population uncertainty some perfect equilibria are in dominated strategies. We prove that every Poisson game has at least one perfect equilibrium in undominated strategies.

Suggested Citation

  • González Pimienta, Carlos & De Sinopoli, Francesco, 2007. "Undominated (and) perfect equilibria in Poisson games," UC3M Working papers. Economics we073117, Universidad Carlos III de Madrid. Departamento de Economía.
    • Handle: RePEc:cte:werepe:we073117
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    References listed on IDEAS

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    1. Jean-François Mertens, 2004. "Ordinality in non cooperative games," International Journal of Game Theory, Springer;Game Theory Society, vol. 32(3), pages 387-430, June.
    2. Roger B. Myerson, 1998. "Population uncertainty and Poisson games," International Journal of Game Theory, Springer;Game Theory Society, vol. 27(3), pages 375-392.
    3. Myerson, Roger B., 2000. "Large Poisson Games," Journal of Economic Theory, Elsevier, vol. 94(1), pages 7-45, September.
    4. De Sinopoli, Francesco & Pimienta, Carlos, 2009. "Undominated (and) perfect equilibria in Poisson games," Games and Economic Behavior, Elsevier, vol. 66(2), pages 775-784, July.
    5. Myerson, Roger B., 2002. "Comparison of Scoring Rules in Poisson Voting Games," Journal of Economic Theory, Elsevier, vol. 103(1), pages 219-251, March.
    6. Makris, Miltiadis, 2008. "Complementarities and macroeconomics: Poisson games," Games and Economic Behavior, Elsevier, vol. 62(1), pages 180-189, January.
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    Cited by:

    1. Pierre Bernhard & Marc Deschamps, 2017. "On Dynamic Games with Randomly Arriving Players," Dynamic Games and Applications, Springer, vol. 7(3), pages 360-385, September.
    2. Bouton, Laurent & Gratton, Gabriele, 2015. "Majority runoff elections: strategic voting and Duverger's hypothesis," Theoretical Economics, Econometric Society, vol. 10(2), May.
    3. Mikhail Drugov & Dmitry Ryvkin, 2019. "The shape of luck and competition in tournaments," Working Papers w0251, Center for Economic and Financial Research (CEFIR).
    4. Boosey, Luke & Brookins, Philip & Ryvkin, Dmitry, 2017. "Contests with group size uncertainty: Experimental evidence," Games and Economic Behavior, Elsevier, vol. 105(C), pages 212-229.
    5. De Sinopoli, Francesco & Meroni, Claudia & Pimienta, Carlos, 2014. "Strategic stability in Poisson games," Journal of Economic Theory, Elsevier, vol. 153(C), pages 46-63.
    6. Boosey, Luke & Brookins, Philip & Ryvkin, Dmitry, 2019. "Contests between groups of unknown size," Games and Economic Behavior, Elsevier, vol. 113(C), pages 756-769.
    7. De Sinopoli, Francesco & Pimienta, Carlos, 2009. "Undominated (and) perfect equilibria in Poisson games," Games and Economic Behavior, Elsevier, vol. 66(2), pages 775-784, July.
    8. Matías Núñez, 2014. "The strategic sincerity of Approval voting," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(1), pages 157-189, May.
    9. Drugov, Mikhail & Ryvkin, Dmitry, 2017. "Winner-Take-All Tournaments," CEPR Discussion Papers 12067, C.E.P.R. Discussion Papers.
    10. Ryvkin, Dmitry & Drugov, Mikhail, 2020. "The shape of luck and competition in winner-take-all tournaments," Theoretical Economics, Econometric Society, vol. 15(4), November.
    11. Dmitry Ryvkin & Mikhail Drugov, 2017. "Tournaments," Working Papers wp2017_03_02, Department of Economics, Florida State University.

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    Keywords

    Perfect equilibria;

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