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Truthful Equilibria in Dynamic Bayesian Games

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  • Johannes Horner
  • Satoru Takahashi
  • Nicolas Vieille

Abstract

This paper characterizes an equilibrium payoff subset for dynamic Bayesian games as discounting vanishes. Monitoring is imperfect, transitions may depend on actions, types may be correlated, and values may be interdependent. The focus is on equilibria in which players report truthfully. The characterization generalizes that for repeated games, reducing the analysis to static Bayesian games with transfers. With independent private values, the restriction to truthful equilibria is without loss, except for the punishment level: if players withhold their information during punishment‐like phases, a folk theorem obtains.
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Suggested Citation

  • Johannes Horner & Satoru Takahashi & Nicolas Vieille, 2014. "Truthful Equilibria in Dynamic Bayesian Games," Levine's Working Paper Archive 786969000000000881, David K. Levine.
  • Handle: RePEc:cla:levarc:786969000000000881
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    References listed on IDEAS

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    Cited by:

    1. repec:eee:jetheo:v:176:y:2018:i:c:p:408-443 is not listed on IDEAS
    2. He, Wei & Li, Jiangtao, 2016. "Efficient dynamic mechanisms with interdependent valuations," Games and Economic Behavior, Elsevier, vol. 97(C), pages 166-173.
    3. Yuichi Yamamoto, 2014. "Stochastic Games With Hidden States, Fourth Version," PIER Working Paper Archive 16-012, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 09 Nov 2017.
    4. repec:eee:gamebe:v:104:y:2017:i:c:p:329-349 is not listed on IDEAS
    5. Chan, Jimmy H. & Zhang, Wenzhang, 2016. "Approximate efficiency in repeated games with side-payments and correlated signals," Theoretical Economics, Econometric Society, vol. 11(1), January.
    6. Yuichi Yamamoto, 2014. "Stochastic Games with Hidden States, Second Version," PIER Working Paper Archive 15-019, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 01 Jun 2015.
    7. Yuichi Yamamoto, 2015. "Stochastic Games with Hidden States," PIER Working Paper Archive 15-007, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    8. Escobar, Juan F. & Llanes, Gastón, 2018. "Cooperation dynamics in repeated games of adverse selection," Journal of Economic Theory, Elsevier, vol. 176(C), pages 408-443.
    9. Chan, Jimmy & Zhang, Wenzhang, 2015. "Collusion enforcement with private information and private monitoring," Journal of Economic Theory, Elsevier, vol. 157(C), pages 188-211.

    More about this item

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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