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A Refinement of Sequential Equilibrium

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  • Cho, In-Koo

Abstract

The author proposes a refinement of seq uential equilibrium for extensive form games by generalizing a restri ction proposed for signaling games in Cho and D. M. Kreps (1987). The restriction is that beliefs must not assign positive weight to the p ossibilities that can be excluded through reasonable introspection ba sed on the data available as common knowledge. A new technique is dev eloped in order to prove the existence of forward induction equilibri um, which consists of two steps. First, the author establishes the ge neric existence of forward induction equilibrium by exploiting the re sults of E. Kohlberg and J. F. Mertens (1986). Then, he shows that th e forward induction equilibrium correspondence is upper hemicontinuou s in the outcome space with respect to the changes of parameters of t he game. Copyright 1987 by The Econometric Society.

Suggested Citation

  • Cho, In-Koo, 1987. "A Refinement of Sequential Equilibrium," Econometrica, Econometric Society, vol. 55(6), pages 1367-1389, November.
    • Handle: RePEc:ecm:emetrp:v:55:y:1987:i:6:p:1367-89
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    Cited by:

    1. Andrés Perea & Elias Tsakas, 2019. "Limited focus in dynamic games," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(2), pages 571-607, June.
    2. Deepanshu Vasal & Achilleas Anastasopoulos, 2016. "Decentralized Bayesian learning in dynamic games: A framework for studying informational cascades," Papers 1607.06847, arXiv.org, revised Apr 2018.
    3. Busch, Lutz-Alexander & Horstmann, Ignatius J., 2002. "The game of negotiations: ordering issues and implementing agreements," Games and Economic Behavior, Elsevier, vol. 41(2), pages 169-191, November.
    4. Philippe Aghion & Drew Fudenberg & Richard Holden & Takashi Kunimoto & Olivier Tercieux, 2012. "Subgame-Perfect Implementation Under Information Perturbations," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 127(4), pages 1843-1881.
    5. Facundo Albornoz & Joan-Maria Esteban & Paolo Vanin, 2009. "Government Information Transparency," Working Papers 392, Barcelona School of Economics.
    6. Peter C. Cramton, 1992. "Strategic Delay in Bargaining with Two-Sided Uncertainty," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 59(1), pages 205-225.
    7. Sun, Lan, 2016. "Hypothesis testing equilibrium in signaling games," Center for Mathematical Economics Working Papers 557, Center for Mathematical Economics, Bielefeld University.
    8. Kamishiro, Yusuke & Vohra, Rajiv & Serrano, Roberto, 2023. "Signaling, screening, and core stability," Journal of Economic Theory, Elsevier, vol. 213(C).
    9. Ben-Porath, Elchanan & Dekel, Eddie, 1992. "Signaling future actions and the potential for sacrifice," Journal of Economic Theory, Elsevier, vol. 57(1), pages 36-51.
    10. Chemmanur, Thomas J. & Ravid, S. Abraham, 1999. "Asymmetric Information, Corporate Myopia, and Capital Gains Tax Rates: An Analysis of Policy Prescriptions," Journal of Financial Intermediation, Elsevier, vol. 8(3), pages 205-231, July.
    11. John C. Persons, "undated". "Fully Revealing Equilibria with Suboptimal Investment," Research in Financial Economics 9507, Ohio State University.
    12. Correia-da-Silva, João, 2020. "Self-rejecting mechanisms," Games and Economic Behavior, Elsevier, vol. 120(C), pages 434-457.
    13. Benjamin Hébert, 2018. "Moral Hazard and the Optimality of Debt," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 85(4), pages 2214-2252.
    14. Bagwell, Kyle & Riordan, Michael H, 1991. "High and Declining Prices Signal Product Quality," American Economic Review, American Economic Association, vol. 81(1), pages 224-239, March.
    15. Nishimura, Takeshi, 2022. "Informed principal problems in bilateral trading," Journal of Economic Theory, Elsevier, vol. 204(C).
    16. Kaya, Ayça, 2009. "Repeated signaling games," Games and Economic Behavior, Elsevier, vol. 66(2), pages 841-854, July.
    17. Perea, Andrés, 2017. "Forward induction reasoning and correct beliefs," Journal of Economic Theory, Elsevier, vol. 169(C), pages 489-516.
    18. Feng, Hong & Fu, Qiang & Zhang, Lan, 2020. "How to Launch a New Durable Good: A Signaling Rationale for Hunger Marketing," International Journal of Industrial Organization, Elsevier, vol. 70(C).
    19. Abraham L. Wickelgren, 2009. "The Perverse Effects of Outside Options on Strategic Delay in Bargaining," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 165(2), pages 210-229, June.
    20. Kjell Hausken, 1997. "Game-theoretic and Behavioral Negotiation Theory," Group Decision and Negotiation, Springer, vol. 6(6), pages 511-528, December.
    21. Huang, Xuesong, 2024. "Sophisticated banking contracts and fragility when withdrawal information is public," Theoretical Economics, Econometric Society, vol. 19(1), January.
    22. Chlaß, Nadine & Perea, Andrés, 2016. "How do people reason in dynamic games?," VfS Annual Conference 2016 (Augsburg): Demographic Change 145881, Verein für Socialpolitik / German Economic Association.
    23. Lemke, Robert J., 2004. "Dynamic bargaining with action-dependent valuations," Journal of Economic Dynamics and Control, Elsevier, vol. 28(9), pages 1847-1875, July.
    24. Persons, John C., 2000. "Fully revealing equilibria with suboptimal investment," Journal of Corporate Finance, Elsevier, vol. 6(3), pages 331-344, September.

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