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Consistent Beliefs in Extensive Form Games

Author

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  • Paulo Barelli

    (Department of Economics, University of Rochester, 214 Harkness Hall, Rochester, NY 14627, USA
    Insper Institute of Education and Research, Rua Quatá, 300 - Vila Olímpia 04546-042, São Paulo, Brazil)

Abstract

We introduce consistency of beliefs in the space of hierarchies of conditional beliefs (Battigalli and Siniscalchi) and use it to provide epistemic conditions for equilibria in finite multi-stage games with observed actions.

Suggested Citation

  • Paulo Barelli, 2010. "Consistent Beliefs in Extensive Form Games," Games, MDPI, vol. 1(4), pages 1-7, October.
    • Handle: RePEc:gam:jgames:v:1:y:2010:i:4:p:415-421:d:9917
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    References listed on IDEAS

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    1. Aumann, Robert J, 1987. "Correlated Equilibrium as an Expression of Bayesian Rationality," Econometrica, Econometric Society, vol. 55(1), pages 1-18, January.
    2. Battigalli, Pierpaolo & Siniscalchi, Marciano, 1999. "Hierarchies of Conditional Beliefs and Interactive Epistemology in Dynamic Games," Journal of Economic Theory, Elsevier, vol. 88(1), pages 188-230, September.
    3. Robert Aumann & Adam Brandenburger, 2014. "Epistemic Conditions for Nash Equilibrium," World Scientific Book Chapters, in: The Language of Game Theory Putting Epistemics into the Mathematics of Games, chapter 5, pages 113-136, World Scientific Publishing Co. Pte. Ltd..
    4. Barelli, Paulo, 2009. "Consistency of beliefs and epistemic conditions for Nash and correlated equilibria," Games and Economic Behavior, Elsevier, vol. 67(2), pages 363-375, November.
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    Cited by:

    1. Dekel, Eddie & Siniscalchi, Marciano, 2015. "Epistemic Game Theory," Handbook of Game Theory with Economic Applications,, Elsevier.

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