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The Robustness of Incomplete Penal Codes in Repeated Interactions

Author

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  • Olivier GOSSNER

    (CNRS – CREST, Institut Polytechnique de Paris and Department of Mathematics, London School of Economics.)

Abstract

We study the robustness of equilibria with regards to small payoff perturbations of the dynamic game. We show that complete penal codes, that specify players’ strategies after every history, have only limited robustness. We define incomplete penal codes as partial descriptions of equilibrium strategies and introduce a notion of robustness for incomplete penal codes. We prove a Folk Theorem in robust incomplete codes that generates a Folk Theorem in a class of stochastic games.

Suggested Citation

  • Olivier GOSSNER, 2020. "The Robustness of Incomplete Penal Codes in Repeated Interactions," Working Papers 2020-29, Center for Research in Economics and Statistics.
    • Handle: RePEc:crs:wpaper:2020-29
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    References listed on IDEAS

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    6. Johannes Hörner & Takuo Sugaya & Satoru Takahashi & Nicolas Vieille, 2011. "Recursive Methods in Discounted Stochastic Games: An Algorithm for δ→ 1 and a Folk Theorem," Econometrica, Econometric Society, vol. 79(4), pages 1277-1318, July.
    7. Gossner, Olivier, 1995. "The Folk Theorem for Finitely Repeated Games with Mixed Strategies," International Journal of Game Theory, Springer;Game Theory Society, vol. 24(1), pages 95-107.
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    Cited by:

    1. Costas Cavounidis & Sambuddha Ghosh & Johannes Horner & Eilon Solan & Satoru Takahashi, 2025. "Blackwell Equilibrium in Repeated Games," Papers 2501.05481, arXiv.org.

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