IDEAS home Printed from https://ideas.repec.org/a/ecm/emetrp/v78y2010i2p823-832.html
   My bibliography  Save this article

Strongly Consistent Self-Confirming Equilibrium

Author

Listed:
  • Yuichiro Kamada

Abstract

Fudenberg and Levine (1993a) introduced the notion of self-confirming equilibrium, which is generally less restrictive than Nash equilibrium. Fudenberg and Levine also defined a concept of consistency, and claimed in their Theorem 4 that with consistency and other conditions on beliefs, a self-confirming equilibrium has a Nash equilibrium outcome. We provide a counterexample that disproves Theorem 4 and prove an alternative by replacing consistency with a more restrictive concept, which we call strong consistency. In games with observed deviators, self-confirming equilibria are strongly consistent self-confirming equilibria. Hence, our alternative theorem ensures that despite the counterexample, the corollary of Theorem 4 is still valid. Copyright 2010 The Econometric Society.

Suggested Citation

  • Yuichiro Kamada, 2010. "Strongly Consistent Self-Confirming Equilibrium," Econometrica, Econometric Society, vol. 78(2), pages 823-832, March.
    • Handle: RePEc:ecm:emetrp:v:78:y:2010:i:2:p:823-832
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.3982/ECTA7496
    File Function: link to full text
    Download Restriction: Access to full text is restricted to subscribers.
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Schipper, Burkhard C., 2021. "Discovery and equilibrium in games with unawareness," Journal of Economic Theory, Elsevier, vol. 198(C).
    2. Shimoji, Makoto, 2012. "Outcome-equivalence of self-confirming equilibrium and Nash equilibrium," Games and Economic Behavior, Elsevier, vol. 75(1), pages 441-447.
    3. Gamba, Astrid & Regner, Tobias, 2019. "Preferences-dependent learning in the centipede game: The persistence of mistrust," European Economic Review, Elsevier, vol. 120(C).
    4. , & ,, 2015. "Rationalizable partition-confirmed equilibrium," Theoretical Economics, Econometric Society, vol. 10(3), September.
    5. Pierpaolo Battigalli & Alfredo Di Tillio & Dov Samet, 2011. "Strategies and interactive beliefs in dynamic games," Working Papers 375, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.

    More about this item

    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:ecm:emetrp:v:78:y:2010:i:2:p:823-832. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Wiley Content Delivery (email available below). General contact details of provider: https://edirc.repec.org/data/essssea.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.