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A folk theorem for Bayesian games with commitment

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  • Francoise Forges

    (CEREMADE - CEntre de REcherches en MAthématiques de la DEcision - Université Paris Dauphine-PSL - PSL - Université Paris sciences et lettres - CNRS - Centre National de la Recherche Scientifique)

Abstract

The set of all Bayesian–Nash equilibrium payoffs that the players can achieve by making conditional commitments at the interim stage of a Bayesian game coincides with the set of all feasible, incentive compatible and interim individually rational payoffs of the Bayesian game. Furthermore, the various equilibrium payoffs, which are achieved by means of different commitment devices, are also the equilibrium payoffs of a universal, deterministic commitment game.
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Suggested Citation

  • Francoise Forges, 2013. "A folk theorem for Bayesian games with commitment," Post-Print hal-01252953, HAL.
    • Handle: RePEc:hal:journl:hal-01252953
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    References listed on IDEAS

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    1. repec:dau:papers:123456789/184 is not listed on IDEAS
    2. R.J. Aumann & S. Hart (ed.), 2002. "Handbook of Game Theory with Economic Applications," Handbook of Game Theory with Economic Applications, Elsevier, edition 1, volume 3, number 3.
    3. Forges, Francoise, 1992. "Repeated games of incomplete information: Non-zero-sum," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 6, pages 155-177, Elsevier.
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    10. Sergiu Hart, 1985. "Nonzero-Sum Two-Person Repeated Games with Incomplete Information," Mathematics of Operations Research, INFORMS, vol. 10(1), pages 117-153, February.
    11. Francoise Forges & Jean-Francois Mertens & Rajiv Vohra, 2002. "The Ex Ante Incentive Compatible Core in the Absence of Wealth Effects," Econometrica, Econometric Society, vol. 70(5), pages 1865-1892, September.
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    Cited by:

    1. Salomon, Antoine & Forges, Françoise, 2015. "Bayesian repeated games and reputation," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 70-104.
    2. Forges, Françoise & Horst, Ulrich, 2018. "Sender–receiver games with cooperation," Journal of Mathematical Economics, Elsevier, vol. 76(C), pages 52-61.
    3. Françoise Forges & Ulrich Horst & Antoine Salomon, 2016. "Feasibility and individual rationality in two-person Bayesian games," International Journal of Game Theory, Springer;Game Theory Society, vol. 45(1), pages 11-36, March.
    4. Tajika Tomoya, 2020. "Regular Equilibria and Negative Welfare Implications in Delegation Games," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 20(1), pages 1-17, January.
    5. Gorkem Celik & Michael Peters, 2016. "Reciprocal relationships and mechanism design," Canadian Journal of Economics, Canadian Economics Association, vol. 49(1), pages 374-411, February.
    6. Benjamin N. Roth & Ran I. Shorrer, 2021. "Making Marketplaces Safe: Dominant Individual Rationality and Applications to Market Design," Management Science, INFORMS, vol. 67(6), pages 3694-3713, June.

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    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General

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