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Dependence and Uniqueness in Bayesian Games

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  • Beggs Alan W.

    (University of Oxford, Oxford, UK)

Abstract

This paper studies uniqueness of equilibrium in symmetric Bayesian games. It shows that if signals are highly but not perfectly dependent, then players play their risk-dominant actions for all but a vanishing set of signal realizations. In contrast to the literature on global games, noise is not assumed to be additive. Dependence is modeled using the theory of copulas.

Suggested Citation

  • Beggs Alan W., 2013. "Dependence and Uniqueness in Bayesian Games," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 13(1), pages 1-25, May.
    • Handle: RePEc:bpj:bejtec:v:13:y:2013:i:1:p:25:n:8
    DOI: 10.1515/bejte-2012-0012
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    References listed on IDEAS

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    1. Frankel, David M. & Morris, Stephen & Pauzner, Ady, 2003. "Equilibrium selection in global games with strategic complementarities," Journal of Economic Theory, Elsevier, vol. 108(1), pages 1-44, January.
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    7. Van Zandt, Timothy & Vives, Xavier, 2007. "Monotone equilibria in Bayesian games of strategic complementarities," Journal of Economic Theory, Elsevier, vol. 134(1), pages 339-360, May.
    8. Milgrom, Paul & Roberts, John, 1990. "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, Econometric Society, vol. 58(6), pages 1255-1277, November.
    9. Müller, Alfred & Scarsini, Marco, 2005. "Archimedean copulæ and positive dependence," Journal of Multivariate Analysis, Elsevier, vol. 93(2), pages 434-445, April.
    10. Nelsen, Roger B. & Quesada-Molina, José Juan & Rodri­guez-Lallena, José Antonio & Úbeda-Flores, Manuel, 2008. "On the construction of copulas and quasi-copulas with given diagonal sections," Insurance: Mathematics and Economics, Elsevier, vol. 42(2), pages 473-483, April.
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    More about this item

    Keywords

    Bayesian games; global games; uniqueness; copulas; risk dominance;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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