IDEAS home Printed from https://ideas.repec.org/a/spr/jogath/v42y2013i1p99-114.html

Trimmed equilibrium

Author

Listed:
  • Valeska Groenert

Abstract

Subgame perfect equilibrium (SPE) imposes stronger rationality conditions than necessary to ensure equilibrium outcomes are consistent with its concept. This is demonstrated by characterizing the maximal collection of information sets at which play is irrelevant for an outcome’s consistency with SPE. It is shown that, without affecting the set of equilibrium outcomes, equilibrium conditions can be trimmed by relaxing all conditions on this maximal collection. Therefore a trimmed SPE is a tight version of SPE. However, because its conditions are weaker, trimmed SPE might exist even if SPE does not. This is demonstrated in an application. Copyright Springer-Verlag 2013

Suggested Citation

  • Valeska Groenert, 2013. "Trimmed equilibrium," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(1), pages 99-114, February.
    • Handle: RePEc:spr:jogath:v:42:y:2013:i:1:p:99-114
    DOI: 10.1007/s00182-011-0317-3
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s00182-011-0317-3
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s00182-011-0317-3?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

    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. Osborne Martin J., 1993. "Candidate Positioning and Entry in a Political Competition," Games and Economic Behavior, Elsevier, vol. 5(1), pages 133-151, January.
    3. Osborne, Martin J & Pitchik, Carolyn, 1987. "Equilibrium in Hotelling's Model of Spatial Competition," Econometrica, Econometric Society, vol. 55(4), pages 911-922, July.
    4. Ehud Kalai, 2005. "Partially-Specified Large Games," Levine's Bibliography 784828000000000565, UCLA Department of Economics.
    5. Fudenberg, Drew & Levine, David K, 1993. "Self-Confirming Equilibrium," Econometrica, Econometric Society, vol. 61(3), pages 523-545, May.
    6. Ehud Kalai, 2004. "Large Robust Games," Econometrica, Econometric Society, vol. 72(6), pages 1631-1665, November.
    7. Kalai, E & Neme, A, 1992. "The Strength of a Little Perfection," International Journal of Game Theory, Springer;Game Theory Society, vol. 20(4), pages 335-355.
    8. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, December.
    9. 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.
    10. Harris, Christopher & Reny, Philip & Robson, Arthur, 1995. "The Existence of Subgame-Perfect Equilibrium in Continuous Games with Almost Perfect Information: A Case for Public Randomization," Econometrica, Econometric Society, vol. 63(3), pages 507-544, May.
    11. Levitan, Richard & Shubik, Martin, 1972. "Price Duopoly and Capacity Constraints," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 13(1), pages 111-122, February.
    12. David M. Kreps & Jose A. Scheinkman, 1983. "Quantity Precommitment and Bertrand Competition Yield Cournot Outcomes," Bell Journal of Economics, The RAND Corporation, vol. 14(2), pages 326-337, Autumn.
    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. Julio González-Díaz & Federica Briata & Ignacio García-Jurado & Fioravante Patrone, 2012. "Essential collections for equilibrium concepts," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(3), pages 517-552, August.
    2. Trost, Michael, 2022. "Unraveling the spreading pattern of collusively effective competition clauses," Hohenheim Discussion Papers in Business, Economics and Social Sciences 01-2022, University of Hohenheim, Faculty of Business, Economics and Social Sciences.
    3. Joseph Greenberg & Sudheer Gupta & Xiao Luo, 2003. "Towering over Babel: Worlds Apart but Acting Together," IEAS Working Paper : academic research 03-A009, Institute of Economics, Academia Sinica, Taipei, Taiwan.
    4. Dekel, Eddie & Siniscalchi, Marciano, 2015. "Epistemic Game Theory," Handbook of Game Theory with Economic Applications,, Elsevier.
    5. Azrieli, Yaron, 2009. "Categorizing others in a large game," Games and Economic Behavior, Elsevier, vol. 67(2), pages 351-362, November.
    6. Caplin, Andrew & Nalebuff, Barry, 1991. "Aggregation and Imperfect Competition: On the Existence of Equilibrium," Econometrica, Econometric Society, vol. 59(1), pages 25-59, January.
    7. Azrieli, Yaron, 2007. "Thinking categorically about others: A conjectural equilibrium approach," MPRA Paper 3843, University Library of Munich, Germany.
    8. Lin, Po-Hsuan & Palfrey, Thomas R., 2024. "Cognitive hierarchies for games in extensive form," Journal of Economic Theory, Elsevier, vol. 220(C).
    9. Trost, Michael, 2021. "The collusive efficacy of competition clauses in Bertrand Markets with capacity-constrained retailers," Hohenheim Discussion Papers in Business, Economics and Social Sciences 04-2021, University of Hohenheim, Faculty of Business, Economics and Social Sciences.
    10. 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.
    11. Roy Chowdhury, Prabal, 2008. "Bertrand-Edgeworth equilibrium with a large number of firms," International Journal of Industrial Organization, Elsevier, vol. 26(3), pages 746-761, May.
    12. Lambertini, Luca, 1997. "Prisoners' Dilemma in Duopoly (Super)Games," Journal of Economic Theory, Elsevier, vol. 77(1), pages 181-191, November.
    13. Zheng, Charles Z., 2019. "Necessary and sufficient conditions for peace: Implementability versus security," Journal of Economic Theory, Elsevier, vol. 180(C), pages 135-166.
    14. Konrad, Kai A. & Rees, Ray, 2020. "Passports for sale: The political economy of conflict and cooperation in a meta-club," European Journal of Political Economy, Elsevier, vol. 62(C).
    15. Dasci, A. & Karakul, M., 2009. "Two-period dynamic versus fixed-ratio pricing in a capacity constrained duopoly," European Journal of Operational Research, Elsevier, vol. 197(3), pages 945-968, September.
    16. Prabal Roy Chowdhury, 2004. "Bertrand-Edgeworth duopoly with linear costs: A tale of two paradoxes," Discussion Papers 04-13, Indian Statistical Institute, Delhi.
    17. Ricardo F. Reis & Phillip C. Stocken, 2007. "Strategic Consequences of Historical Cost and Fair Value Measurements," Contemporary Accounting Research, John Wiley & Sons, vol. 24(2), pages 557-584, June.
    18. Dominiak, Adam & Lee, Dongwoo, 2023. "Testing rational hypotheses in signaling games," European Economic Review, Elsevier, vol. 160(C).
    19. Germano, Fabrizio, 2003. "Bertrand-edgeworth equilibria in finite exchange economies," Journal of Mathematical Economics, Elsevier, vol. 39(5-6), pages 677-692, July.
    20. Simon Loertscher, 2008. "Market Making Oligopoly," Journal of Industrial Economics, Wiley Blackwell, vol. 56(2), pages 263-289, June.

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative 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:42:y:2013:i:1:p:99-114. 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.