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3-player repeated games with lack of information on one side

Author

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  • Jérôme Renault

    (CEREMADE, Université Paris IX Dauphine, Place du Maréchal de Lattre de Tassigny, 75775 Paris Cedex 16, France. This work has mostly been carried out at CERMSEM, Université Paris I. Final version June 2001)

Abstract

We study the existence of uniform equilibria for three-player repeated games with lack of information on one side and perfect observation. If there are only two states of nature, a completely revealing or a joint plan equilibrium always exists. This is not the case for larger spaces of states.

Suggested Citation

  • Jérôme Renault, 2001. "3-player repeated games with lack of information on one side," International Journal of Game Theory, Springer;Game Theory Society, vol. 30(2), pages 221-245.
    • Handle: RePEc:spr:jogath:v:30:y:2001:i:2:p:221-245
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    Citations

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    Cited by:

    1. Hörner, Johannes & Lovo, Stefano & Tomala, Tristan, 2011. "Belief-free equilibria in games with incomplete information: Characterization and existence," Journal of Economic Theory, Elsevier, vol. 146(5), pages 1770-1795, September.
    2. Renault, Jerome & Scarlatti, Sergio & Scarsini, Marco, 2005. "A folk theorem for minority games," Games and Economic Behavior, Elsevier, vol. 53(2), pages 208-230, November.
    3. Fabien Gensbittel & Jérôme Renault, 2015. "The Value of Markov Chain Games with Incomplete Information on Both Sides," Mathematics of Operations Research, INFORMS, vol. 40(4), pages 820-841, October.
    4. Forges, Françoise & Horst, Ulrich, 2018. "Sender–receiver games with cooperation," Journal of Mathematical Economics, Elsevier, vol. 76(C), pages 52-61.
    5. Renault, Jerome & Tomala, Tristan, 2004. "Communication equilibrium payoffs in repeated games with imperfect monitoring," Games and Economic Behavior, Elsevier, vol. 49(2), pages 313-344, November.
    6. 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.
    7. Frédéric Koessler & Françoise Forges, 2008. "Multistage Communication With And Without Verifiable Types," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 10(02), pages 145-164.
    8. Françoise Forges & Jérôme Renault, 2021. "Strategic information transmission with sender’s approval," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(2), pages 475-502, June.
    9. Jérôme Renault & Tristan Tomala, 2011. "General Properties of Long-Run Supergames," Dynamic Games and Applications, Springer, vol. 1(2), pages 319-350, June.
    10. Heng Liu, 2017. "Correlation and unmediated cheap talk in repeated games with imperfect monitoring," International Journal of Game Theory, Springer;Game Theory Society, vol. 46(4), pages 1037-1069, November.
    11. Jérôme Renault, 2001. "Learning Sets in State Dependent Signalling Game Forms: A Characterization," Mathematics of Operations Research, INFORMS, vol. 26(4), pages 832-850, November.
    12. Renault, Jerome & Tomala, Tristan, 2004. "Learning the state of nature in repeated games with incomplete information and signals," Games and Economic Behavior, Elsevier, vol. 47(1), pages 124-156, April.
    13. repec:dau:papers:123456789/6223 is not listed on IDEAS

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