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AGM-consistency and perfect Bayesian equilibrium. Part I: definition and properties

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  • Giacomo Bonanno

Abstract

We provide a general notion of perfect Bayesian equilibrium which can be applied to arbitrary extensive-form games and is intermediate between subgame-perfect equilibrium and sequential equilibrium. The essential ingredient of the proposed definition is the qualitative notion of AGM-consistency, which has an epistemic justification based on the theory of belief revision introduced by Alchourrón, Gärdenfors and Makinson. AGM-consistency is a generalization of the notion of consistency introduced by Kreps and Wilson as part of the definition of sequential equilibrium. Copyright Springer-Verlag 2013

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  • Giacomo Bonanno, 2013. "AGM-consistency and perfect Bayesian equilibrium. Part I: definition and properties," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(3), pages 567-592, August.
    • Handle: RePEc:spr:jogath:v:42:y:2013:i:3:p:567-592
    DOI: 10.1007/s00182-011-0296-4
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    Cited by:

    1. Jeong-Yoo Kim, 2023. "Proposing New Equilibrium Concepts in Dynamic Games with Noisy Signals," Korean Economic Review, Korean Economic Association, vol. 39, pages 413-443.
    2. Bajoori, Elnaz & Flesch, János & Vermeulen, Dries, 2016. "Behavioral perfect equilibrium in Bayesian games," Games and Economic Behavior, Elsevier, vol. 98(C), pages 78-109.
    3. Giacomo Bonanno, 2016. "Exploring the Gap between Perfect Bayesian Equilibrium and Sequential Equilibrium," Games, MDPI, Open Access Journal, vol. 7(4), pages 1-23, November.
    4. Streufert, Peter A., 2015. "An elementary proof that additive i-likelihood characterizes the supports of consistent assessments," Journal of Mathematical Economics, Elsevier, vol. 59(C), pages 37-46.
    5. Giacomo Bonanno, 2016. "AGM-consistency and perfect Bayesian equilibrium. Part II: from PBE to sequential equilibrium," International Journal of Game Theory, Springer;Game Theory Society, vol. 45(4), pages 1071-1094, November.
    6. Galanis, S. & Ioannou, C. & Kotronis, S., 2019. "Information Aggregation Under Ambiguity: Theory and Experimental Evidence," Working Papers 20/05, Department of Economics, City University London.
    7. Burkhard Schipper, 2014. "AGM-consistency and perfect Bayesian equilibrium. Part II: from PBE to sequential equilibrium," Working Papers 83, University of California, Davis, Department of Economics.
    8. Spyros Galanis & Christos A. Ioannou & Stelios Kotronis, 2023. "Supplementary appendix to Information Aggregation Under Ambiguity: Theory and Experimental Evidence," Working Papers 2023_05, Durham University Business School.
    9. Giacomo Bonanno, 2016. "Exploring the Gap between Perfect Bayesian Equilibrium and Sequential Equilibrium," Games, MDPI, vol. 7(4), pages 1-23, November.
    10. Gisèle Umbhauer & Arnaud Wolff, 2022. "istance in Beliefs and Individually-Consistent Sequential Equilibrium," Working Papers of BETA 2022-37, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
    11. Giacomo Bonanno, 2011. "Perfect Bayesian equilibrium. Part II: epistemic foundations," Working Papers 111, University of California, Davis, Department of Economics.
    12. Giacomo Bonanno, 2011. "Perfect Bayesian equilibrium. Part II: epistemic foundations," Working Papers 302, University of California, Davis, Department of Economics.
    13. repec:eid:wpaper:37909 is not listed on IDEAS

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    More about this item

    Keywords

    Belief revision; Plausibility order; Consistency; Subgame-perfect equilibrium; Sequential equilibrium; Bayesian updating;
    All these keywords.

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory

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