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The folk theorem with imperfect public information in continuous time

Author

Listed:
  • Bernard, Benjamin

    (Dept. of Math. and Stat. Sciences, University of Alberta)

  • Frei, Christoph

    (Dept. of Math. and Stat. Sciences, University of Alberta)

Abstract

We prove a folk theorem for multiplayer games in continuous time when players observe a public signal distorted by Brownian noise. The proof is based on a rigorous foundation for such continuous-time multiplayer games. We study in detail the relation between behaviour and mixed strategies, and the role of public randomization to move continuously across games within the same model.

Suggested Citation

  • Bernard, Benjamin & Frei, Christoph, 2016. "The folk theorem with imperfect public information in continuous time," Theoretical Economics, Econometric Society, vol. 11(2), May.
    • Handle: RePEc:the:publsh:1687
    as

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    References listed on IDEAS

    as
    1. Drew Fudenberg & David Levine & Eric Maskin, 2008. "The Folk Theorem With Imperfect Public Information," World Scientific Book Chapters, in: Drew Fudenberg & David K Levine (ed.), A Long-Run Collaboration On Long-Run Games, chapter 12, pages 231-273, World Scientific Publishing Co. Pte. Ltd..
    2. Yuliy Sannikov, 2007. "Games with Imperfectly Observable Actions in Continuous Time," Econometrica, Econometric Society, vol. 75(5), pages 1285-1329, September.
    3. Staudigl, Mathias & Steg, Jan-Henrik, 2014. "On Repeated Games with Imperfect Public Monitoring: From Discrete to Continuous Time," Center for Mathematical Economics Working Papers 525, Center for Mathematical Economics, Bielefeld University.
    4. Drew Fudenberg & David K. Levine, 2008. "Continuous time limits of repeated games with imperfect public monitoring," World Scientific Book Chapters, in: Drew Fudenberg & David K Levine (ed.), A Long-Run Collaboration On Long-Run Games, chapter 17, pages 369-388, World Scientific Publishing Co. Pte. Ltd..
    5. Brendan Daley & Brett Green, 2012. "Waiting for News in the Market for Lemons," Econometrica, Econometric Society, vol. 80(4), pages 1433-1504, July.
    6. , & ,, 2010. "Strategic experimentation with Poisson bandits," Theoretical Economics, Econometric Society, vol. 5(2), May.
    7. Simon, Leo K & Stinchcombe, Maxwell B, 1989. "Extensive Form Games in Continuous Time: Pure Strategies," Econometrica, Econometric Society, vol. 57(5), pages 1171-1214, September.
    8. Abreu, Dilip & Pearce, David & Stacchetti, Ennio, 1990. "Toward a Theory of Discounted Repeated Games with Imperfect Monitoring," Econometrica, Econometric Society, vol. 58(5), pages 1041-1063, September.
    9. Patrick Bolton & Christopher Harris, 1999. "Strategic Experimentation," Econometrica, Econometric Society, vol. 67(2), pages 349-374, March.
    10. Yuliy Sannikov & Andrzej Skrzypacz, 2010. "The Role of Information in Repeated Games With Frequent Actions," Econometrica, Econometric Society, vol. 78(3), pages 847-882, May.
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    Cited by:

    1. Liang, Yong & Sun, Peng & Tang, Runyu & Zhang, Chong, 2023. "Efficient resource allocation contracts to reduce adverse events," Other publications TiSEM 0bcf44d9-d0ac-4231-beaf-8, Tilburg University, School of Economics and Management.

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    More about this item

    Keywords

    Folk theorem; repeated games; continuous time; imperfect observability;
    All these keywords.

    JEL classification:

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

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