IDEAS home Printed from https://ideas.repec.org/p/ulp/sbbeta/2022-37.html
   My bibliography  Save this paper

istance in Beliefs and Individually-Consistent Sequential Equilibrium

Author

Listed:
  • Gisèle Umbhauer
  • Arnaud Wolff

Abstract

The concept of Individually-Consistent Sequential-Equilibrium broadens the concept of Sequential Equilibrium by allowing players to have different beliefs on potential deviations. This heterogeneity spontaneously gives rise to a notion of distance between beliefs. Yet, studying distance between beliefs in a strategic context reveals to be intricate. Announced beliefs may be different from revealed beliefs and the meaning of distance depends on the role assigned to beliefs. If out-of-equilibrium beliefs help getting a larger payoff at equilibrium, then we might need to reconsider the traditional definition of sequential rationality: more than just requiring that players behave optimally at every information set given their beliefs and the strategies played by others players, we might additionally require that there does not exist another perturbation scheme that is individually-consistent and which provides higher payoffs to the players.

Suggested Citation

  • 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.
    • Handle: RePEc:ulp:sbbeta:2022-37
    as

    Download full text from publisher

    File URL: http://beta.u-strasbg.fr/WP/2022/2022-37.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Kreps, David M & Wilson, Robert, 1982. "Sequential Equilibria," Econometrica, Econometric Society, vol. 50(4), pages 863-894, July.
    2. 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.
    3. Fudenberg, Drew & Levine, David K, 1993. "Self-Confirming Equilibrium," Econometrica, Econometric Society, vol. 61(3), pages 523-545, May.
    4. Sergiu Hart & Yair Tauman, 2004. "Market Crashes without External Shocks," The Journal of Business, University of Chicago Press, vol. 77(1), pages 1-8, January.
    5. Gould, Eric D. & Klor, Esteban F., 2019. "Party hacks and true believers: The effect of party affiliation on political preferences," Journal of Comparative Economics, Elsevier, vol. 47(3), pages 504-524.
    6. Joseph Greenberg & Sudheer Gupta & Xiao Luo, 2009. "Mutually acceptable courses of action," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 40(1), pages 91-112, July.
    7. Gisèle Umbhauer & Arnaud Wolff, 2019. "Individually-Consistent Sequential Equilibrium," Working Papers of BETA 2019-39, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Xiao Luo & Ben Wang, 2022. "An epistemic characterization of MACA," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(4), pages 995-1024, June.
    2. 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.
    3. Bajoori, Elnaz & Flesch, János & Vermeulen, Dries, 2016. "Behavioral perfect equilibrium in Bayesian games," Games and Economic Behavior, Elsevier, vol. 98(C), pages 78-109.
    4. Giacomo Bonanno, 2011. "Perfect Bayesian equilibrium. Part II: epistemic foundations," Working Papers 111, University of California, Davis, Department of Economics.
    5. Dekel, Eddie & Siniscalchi, Marciano, 2015. "Epistemic Game Theory," Handbook of Game Theory with Economic Applications,, Elsevier.
    6. Dekel, Eddie & Fudenberg, Drew & Levine, David K., 1999. "Payoff Information and Self-Confirming Equilibrium," Journal of Economic Theory, Elsevier, vol. 89(2), pages 165-185, December.
    7. 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.
    8. Lupia, Arthur & Zharinova, Natasha & Levine, Adam Seth, 2007. "Should Political Scientists Use the Self-Confirming Equilibrium Concept? Explaining the Choices of Cognitively Limited Actors," MPRA Paper 1618, University Library of Munich, Germany.
    9. Balkenborg Dieter & Kuzmics Christoph & Hofbauer Josef, 2019. "The Refined Best Reply Correspondence and Backward Induction," German Economic Review, De Gruyter, vol. 20(1), pages 52-66, February.
    10. Drew Fudenberg & David K. Levine, 2006. "Superstition and Rational Learning," American Economic Review, American Economic Association, vol. 96(3), pages 630-651, June.
    11. Schipper, Burkhard C., 2021. "Discovery and equilibrium in games with unawareness," Journal of Economic Theory, Elsevier, vol. 198(C).
    12. Catonini, Emiliano, 2019. "Rationalizability and epistemic priority orderings," Games and Economic Behavior, Elsevier, vol. 114(C), pages 101-117.
    13. Perea, Andres, 2002. "A note on the one-deviation property in extensive form games," Games and Economic Behavior, Elsevier, vol. 40(2), pages 322-338, August.
    14. Dieter Balkenborg & Josef Hofbauer & Christoph Kuzmics, 2009. "The Refined Best-Response Correspondence and Backward Induction," Levine's Working Paper Archive 814577000000000248, David K. Levine.
    15. repec:eid:wpaper:37909 is not listed on IDEAS
    16. Fudenberg, Drew & Kamada, Yuichiro, 2018. "Rationalizable partition-confirmed equilibrium with heterogeneous beliefs," Games and Economic Behavior, Elsevier, vol. 109(C), pages 364-381.
    17. 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.
    18. Battigalli, Pierpaolo & Corrao, Roberto & Dufwenberg, Martin, 2019. "Incorporating belief-dependent motivation in games," Journal of Economic Behavior & Organization, Elsevier, vol. 167(C), pages 185-218.
    19. Sheng-Chieh Huang & Xiao Luo, 2008. "Stability, sequential rationality, and subgame consistency," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 34(2), pages 309-329, February.
    20. Etro, Federico, 2017. "Research in economics and game theory. A 70th anniversary," Research in Economics, Elsevier, vol. 71(1), pages 1-7.
    21. Gilli, Mario, 1999. "On Non-Nash Equilibria," Games and Economic Behavior, Elsevier, vol. 27(2), pages 184-203, May.

    More about this item

    Keywords

    AGM-Consistency; Distance in Beliefs; Heterogeneous Beliefs; Individually-Consistent-Sequential Equilibrium; Revealed Beliefs.;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ulp:sbbeta:2022-37. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/bestrfr.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.