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Belief-free rationalizability and informational robustness

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  • Bergemann, Dirk
  • Morris, Stephen

Abstract

We propose an incomplete information version of rationalizability. An action is said to be belief-free rationalizable if it survives the following iterated deletion process. At each stage, we delete actions for a type of a player that are not a best response to some conjectures of the player. The conjecture has to put positive weight only on states, and types and actions of the other players which that type thinks possible, and actions of those types that have survived so far. We analyze some economic applications under this solution concept.

Suggested Citation

  • Bergemann, Dirk & Morris, Stephen, 2017. "Belief-free rationalizability and informational robustness," Games and Economic Behavior, Elsevier, vol. 104(C), pages 744-759.
    • Handle: RePEc:eee:gamebe:v:104:y:2017:i:c:p:744-759
    DOI: 10.1016/j.geb.2017.06.014
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    Cited by:

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    2. Kivinen, Steven, 2023. "On the manipulability of equitable voting rules," Games and Economic Behavior, Elsevier, vol. 141(C), pages 286-302.
    3. Takashi Ui & Stephen Morris, 2020. "Incomplete Information Robustness," Working Papers on Central Bank Communication 019, University of Tokyo, Graduate School of Economics.
    4. George-Marios Angeletos & Karthik A. Sastry, 2018. "Managing Expectations: Instruments vs. Targets," NBER Working Papers 25404, National Bureau of Economic Research, Inc.
    5. R Jain & M Lombardi, 2021. "On the Relationship between Robust and Rationalizable Implementation," IEAS Working Paper : academic research 21-A004, Institute of Economics, Academia Sinica, Taipei, Taiwan.
    6. Jaeok Park & Doo Hyung Yun, 2023. "Possibilistic beliefs in strategic games," Theory and Decision, Springer, vol. 95(2), pages 205-228, August.
    7. Ziegler, Gabriel, 2022. "Informational robustness of common belief in rationality," Games and Economic Behavior, Elsevier, vol. 132(C), pages 592-597.

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    More about this item

    Keywords

    Incomplete information; Informational robustness; Bayes correlated equilibrium; Interim correlated rationalizability; Belief-free rationalizability;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C79 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Other
    • 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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