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On the equivalence of robustness to canonical and general elaborations

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  • Pram, Kym

Abstract

A target equilibrium in a game of complete information is called robust to incomplete information when all nearby games of incomplete information have equilibria that generate similar ex-ante distributions over actions to the distribution generated by the target equilibrium. Robustness to canonical elaborations considers only nearby games with a special structure. I show that robustness to incomplete information and robustness to canonical elaborations are equivalent when the equilibrium concept in the nearby incomplete information games is agent normal form correlated equilibrium.

Suggested Citation

  • Pram, Kym, 2019. "On the equivalence of robustness to canonical and general elaborations," Journal of Economic Theory, Elsevier, vol. 180(C), pages 1-10.
    • Handle: RePEc:eee:jetheo:v:180:y:2019:i:c:p:1-10
    DOI: 10.1016/j.jet.2018.12.001
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    References listed on IDEAS

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    13. FORGES , Françoise, 1993. "Five Legitimate Definitions of Correlated Equilibrium in Games with Incomplete Information," LIDAM Discussion Papers CORE 1993009, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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    Citations

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    Cited by:

    1. Takashi Ui & Stephen Morris, 2020. "Incomplete Information Robustness," Working Papers on Central Bank Communication 019, University of Tokyo, Graduate School of Economics.
    2. Takahashi, Satoru & Tercieux, Olivier, 2020. "Robust equilibrium outcomes in sequential games under almost common certainty of payoffs," Journal of Economic Theory, Elsevier, vol. 188(C).
    3. Atsushi Kajii & Stephen Morris, 2020. "Notes on “refinements and higher order beliefs”," The Japanese Economic Review, Springer, vol. 71(1), pages 35-41, January.
    4. Daisuke Oyama & Satoru Takahashi, 2020. "Generalized Belief Operator and Robustness in Binary‐Action Supermodular Games," Econometrica, Econometric Society, vol. 88(2), pages 693-726, March.
    5. Satoru Takahashi, 2020. "Non-equivalence between all and canonical elaborations," The Japanese Economic Review, Springer, vol. 71(1), pages 43-57, January.

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    More about this item

    Keywords

    Game theory; Robustness; Incomplete information; Correlated equilibrium; Potential games;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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