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An extensive form-based proof of the existence of sequential equilibrium

Author

Listed:
  • Subir K. Chakrabarti

    (IUPUI)

  • Iryna Topolyan

    (University of Cincinnati)

Abstract

We argue that an approach that relies solely on the sequential structure of a game would be useful, and provide an alternative proof of the existence of sequential equilibrium.

Suggested Citation

  • Subir K. Chakrabarti & Iryna Topolyan, 2016. "An extensive form-based proof of the existence of sequential equilibrium," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(2), pages 355-365, October.
    • Handle: RePEc:spr:etbull:v:4:y:2016:i:2:d:10.1007_s40505-016-0098-8
    DOI: 10.1007/s40505-016-0098-8
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    References listed on IDEAS

    as
    1. Fudenberg, Drew & Tirole, Jean, 1991. "Perfect Bayesian equilibrium and sequential equilibrium," Journal of Economic Theory, Elsevier, vol. 53(2), pages 236-260, April.
    2. Kreps, David M & Wilson, Robert, 1982. "Sequential Equilibria," Econometrica, Econometric Society, vol. 50(4), pages 863-894, July.
    3. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, April.
    4. Charalambos D. Aliprantis & Kim C. Border, 2006. "Infinite Dimensional Analysis," Springer Books, Springer, edition 0, number 978-3-540-29587-7, February.
    5. J. Jude Kline & Shravan Luckraz, 2016. "Equivalence between graph-based and sequence-based extensive form games," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(1), pages 85-94, April.
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    Citations

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    Cited by:

    1. Xiao Luo & Xuewen Qian & Yang Sun, 2021. "The algebraic geometry of perfect and sequential equilibrium: an extension," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(2), pages 579-601, March.
    2. Karl H. Schlag & Andriy Zapechelnyuk, 2024. "Compromise, Don’t Optimize: Generalizing Perfect Bayesian Equilibrium to Allow for Ambiguity," Journal of Political Economy Microeconomics, University of Chicago Press, vol. 2(1), pages 77-128.

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    More about this item

    Keywords

    Sequential equilibrium; Perfect Bayesian equilibrium; Sequential games; Imperfect information; Backward induction; Information sets; Consistent assessment; Beliefs;
    All these keywords.

    JEL classification:

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

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