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Truthful Equilibria in Dynamic Bayesian Games

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  • Johannes Hörner
  • 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.

Suggested Citation

  • Johannes Hörner & Satoru Takahashi & Nicolas Vieille, 2015. "Truthful Equilibria in Dynamic Bayesian Games," Econometrica, Econometric Society, vol. 83(5), pages 1795-1848, September.
    • Handle: RePEc:wly:emetrp:v:83:y:2015:i:5:p:1795-1848
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    Cited by:

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    2. 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.
    3. Yuichi Yamamoto, 2014. "Stochastic Games with Hidden States, Fifth version," PIER Working Paper Archive 18-028, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 19 May 2018.
    4. Chan, Jimmy & Zhang, Wenzhang, 2015. "Collusion enforcement with private information and private monitoring," Journal of Economic Theory, Elsevier, vol. 157(C), pages 188-211.
    5. 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.
    6. 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.
    7. Atakan, Alp & Koçkesen, Levent & Kubilay, Elif, 2020. "Starting small to communicate," Games and Economic Behavior, Elsevier, vol. 121(C), pages 265-296.
    8. Takashi Kamihigashi, 2023. "The 2022 Japanese Economic Association Nakahara prize recipient: Professor Satoru Takahashi, National University of Singapore," The Japanese Economic Review, Springer, vol. 74(3), pages 355-356, July.
    9. 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.
    10. Meng, Delong, 2021. "On the value of repetition for communication games," Games and Economic Behavior, Elsevier, vol. 127(C), pages 227-246.
    11. Julio B. Clempner & Alexander S. Poznyak, 2021. "Analytical Method for Mechanism Design in Partially Observable Markov Games," Mathematics, MDPI, vol. 9(4), pages 1-15, February.
    12. Yuichi Yamamoto, 2014. "We Can Cooperate Even When the Monitoring Structure Will Never Be Known," PIER Working Paper Archive 17-011, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 08 Apr 2017.
    13. Ehud Lehrer & Dimitry Shaiderman, 2022. "Markovian Persuasion with Stochastic Revelations," Papers 2204.08659, arXiv.org, revised May 2022.
    14. Eunmi Ko, 2024. "Stationary Bayesian–Markov Equilibria in Bayesian Stochastic Games with Periodic Revelation," Games, MDPI, vol. 15(5), pages 1-17, September.
    15. He, Wei & Li, Jiangtao, 2016. "Efficient dynamic mechanisms with interdependent valuations," Games and Economic Behavior, Elsevier, vol. 97(C), pages 166-173.
    16. Renault, Jérôme & Solan, Eilon & Vieille, Nicolas, 2017. "Optimal dynamic information provision," Games and Economic Behavior, Elsevier, vol. 104(C), pages 329-349.

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    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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