IDEAS home Printed from https://ideas.repec.org/a/spr/jogath/v53y2024i2d10.1007_s00182-023-00874-z.html
   My bibliography  Save this article

A characterization of consistent assessments using power sequences of strategy profiles

Author

Listed:
  • Francesc Dilmé

    (University of Bonn)

Abstract

This paper provides a new characterization of belief consistency in extensive games. We show that all consistent assessments are supported by sequences of strategy profiles with the property that all actions with vanishing probability are played according to power functions of the sequence index. The result makes it simpler to prove or disprove that a given assessment is consistent, facilitating the use of sequential equilibria.

Suggested Citation

  • Francesc Dilmé, 2024. "A characterization of consistent assessments using power sequences of strategy profiles," International Journal of Game Theory, Springer;Game Theory Society, vol. 53(2), pages 673-693, June.
    • Handle: RePEc:spr:jogath:v:53:y:2024:i:2:d:10.1007_s00182-023-00874-z
    DOI: 10.1007/s00182-023-00874-z
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s00182-023-00874-z
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s00182-023-00874-z?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

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

    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. Blume, Lawrence E & Zame, William R, 1994. "The Algebraic Geometry of Perfect and Sequential Equilibrium," Econometrica, Econometric Society, vol. 62(4), pages 783-794, July.
    4. Bagwell, Kyle, 1990. "Informational product differentiation as a barrier to entry," International Journal of Industrial Organization, Elsevier, vol. 8(2), pages 207-223, June.
    5. Rubinstein, Ariel, 1985. "A Bargaining Model with Incomplete Information about Time Preferences," Econometrica, Econometric Society, vol. 53(5), pages 1151-1172, September.
    6. Harrington Jr. , Joseph E., 1993. "The Impact of Reelection Pressures on the Fulfillment of Campaign Promises," Games and Economic Behavior, Elsevier, vol. 5(1), pages 71-97, January.
    7. van Damme, E.E.C., 1984. "A relation between perfect equilibria in extensive form games and proper equilibria in normal form games," Other publications TiSEM 3734d89e-fd5c-4c80-a230-5, Tilburg University, School of Economics and Management.
    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. Carlos Pimienta & Jianfei Shen, 2014. "On the equivalence between (quasi-)perfect and sequential equilibria," International Journal of Game Theory, Springer;Game Theory Society, vol. 43(2), pages 395-402, May.
    2. Demichelis, Stefano & Ritzberger, Klaus, 2003. "From evolutionary to strategic stability," Journal of Economic Theory, Elsevier, vol. 113(1), pages 51-75, November.
    3. Hillas, John & Kvasov, Dmitriy, 2020. "Backward induction in games without perfect recall," Games and Economic Behavior, Elsevier, vol. 124(C), pages 207-218.
    4. Etessami, Kousha, 2021. "The complexity of computing a (quasi-)perfect equilibrium for an n-player extensive form game," Games and Economic Behavior, Elsevier, vol. 125(C), pages 107-140.
    5. Francesc Dilmé, 2024. "Sequentially Stable Outcomes," Econometrica, Econometric Society, vol. 92(4), pages 1097-1134, July.
    6. Kohlberg, Elon & Reny, Philip J., 1997. "Independence on Relative Probability Spaces and Consistent Assessments in Game Trees," Journal of Economic Theory, Elsevier, vol. 75(2), pages 280-313, August.
    7. Lim, Wooyoung, 2014. "Communication in bargaining over decision rights," Games and Economic Behavior, Elsevier, vol. 85(C), pages 159-179.
    8. Francesc Dilmé, 2023. "Data Linkage Between Markets: Does Emergence of an Informed Insurer Cause Consumer Harm?," CRC TR 224 Discussion Paper Series crctr224_2023_463, University of Bonn and University of Mannheim, Germany.
    9. Srihari Govindan & Robert Wilson, 2009. "On Forward Induction," Econometrica, Econometric Society, vol. 77(1), pages 1-28, January.
    10. Dominiak, Adam & Lee, Dongwoo, 2023. "Testing rational hypotheses in signaling games," European Economic Review, Elsevier, vol. 160(C).
    11. Bajoori, Elnaz & Flesch, János & Vermeulen, Dries, 2016. "Behavioral perfect equilibrium in Bayesian games," Games and Economic Behavior, Elsevier, vol. 98(C), pages 78-109.
    12. 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.
    13. Perea y Monsuwe, Andres & Jansen, Mathijs & Peters, Hans, 1997. "Characterization of Consistent Assessments in Extensive Form Games," Games and Economic Behavior, Elsevier, vol. 21(1-2), pages 238-252, October.
    14. Luca Anderlini & Leonardo Felli & Andrew Postlewaite, 2013. "Active courts and menu contracts," Chapters, in: Thomas J. Miceli & Matthew J. Baker (ed.), Research Handbook on Economic Models of Law, chapter 13, pages 281-307, Edward Elgar Publishing.
    15. Drew Fudenberg & David M. Kreps & David K. Levine, 2008. "On the Robustness of Equilibrium Refinements," World Scientific Book Chapters, in: Drew Fudenberg & David K Levine (ed.), A Long-Run Collaboration On Long-Run Games, chapter 5, pages 67-93, World Scientific Publishing Co. Pte. Ltd..
    16. Alvarez, Fernando & Barlevy, Gadi, 2021. "Mandatory disclosure and financial contagion," Journal of Economic Theory, Elsevier, vol. 194(C).
    17. Bagwell, Kyle & Staiger, Robert W., 1989. "The role of export subsidies when product quality is unknown," Journal of International Economics, Elsevier, vol. 27(1-2), pages 69-89, August.
    18. Carlos Alós-Ferrer & Klaus Ritzberger, 2020. "Reduced normal forms are not extensive forms," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(2), pages 281-288, October.
    19. Waldman, Michael, 1996. "Asymmetric learning and the wage/productivity relationship," Journal of Economic Behavior & Organization, Elsevier, vol. 31(3), pages 419-429, December.
    20. Joseph Y. Halpern & Yoram Moses, 2017. "Characterizing solution concepts in terms of common knowledge of rationality," International Journal of Game Theory, Springer;Game Theory Society, vol. 46(2), pages 457-473, May.

    More about this item

    Keywords

    Belief consistency; Sequential equilibria; Power sequences;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

    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:spr:jogath:v:53:y:2024:i:2:d:10.1007_s00182-023-00874-z. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.