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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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    1. 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.
    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. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. Giacomo Bonanno, 2016. "Exploring the Gap between Perfect Bayesian Equilibrium and Sequential Equilibrium," Games, MDPI, vol. 7(4), pages 1-23, November.
    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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