IDEAS home Printed from https://ideas.repec.org/a/spr/joecth/v9y1996i1p97-113.html
   My bibliography  Save this article

Equivalence of strong and coalition-proof Nash equilibria in games without spillovers (*)

Author

Listed:
  • Michel Le Breton

    (GREQAM, Chateau Lafarge, Route des Milles, F-13290 Les Milles, FRANCE)

  • Hideo Konishi

    (Department of Economics, Southern Methodist University, Dallas, TX 75275-0496, USA)

  • Shlomo Weber

    (Department of Economics, Southern Methodist University, Dallas, TX 75275-0496, USA)

Abstract

This paper examines the conditions which guarantee that the set of coalition-proof Nash equilibria coincides with the set of strong Nash equilibria in the normal form games without spillovers. We find that population monotonicity properties of the payoff functions, when the payoff of a player changes monotonically when the size of the group of players choosing the same strategy increases, are crucial to obtain the equivalence of these two solution concepts. We identify the classes of games, satisfying population monotonicity properties, which yield the equivalence of the set of coalition-proof Nash equilibria and the set of strong Nash equilibria. We also provide sufficient conditions for the equivalence result even when the population monotonicity assumptions are relaxed.

Suggested Citation

  • Michel Le Breton & Hideo Konishi & Shlomo Weber, 1996. "Equivalence of strong and coalition-proof Nash equilibria in games without spillovers (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 9(1), pages 97-113.
  • Handle: RePEc:spr:joecth:v:9:y:1996:i:1:p:97-113
    Note: Received: March 13, 1995; revised version August 15, 1995
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Other versions of this item:

    Citations

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


    Cited by:

    1. Savvateev Alexey, 2004. "Achieving stability in heterogeneous societies: multi-jurisdictional structures, and redistribution policies," EERC Working Paper Series 04-13e, EERC Research Network, Russia and CIS.
    2. Tarik Tazdaït & Moussa Larbani & Rabia Nessah, 2007. "Strong Berge and Pareto Equilibrium Existence for a Noncooperative Game," CIRED Working Papers halshs-00271464, HAL.
    3. Shin-Kun Peng & Ping Wang, 2003. "Sorting by Foot: Consumable Travel-for Local Public Good and Equilibrium Stratification," IEAS Working Paper : academic research 03-A008, Institute of Economics, Academia Sinica, Taipei, Taiwan.
    4. Heller, Yuval, 2008. "Ex-ante and ex-post strong correlated equilbrium," MPRA Paper 7717, University Library of Munich, Germany, revised 11 Mar 2008.
    5. Tobias Harks & Max Klimm & Rolf Möhring, 2013. "Strong equilibria in games with the lexicographical improvement property," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(2), pages 461-482, May.
    6. Konishi, Hideo & Le Breton, Michel & Weber, Shlomo, 1997. "Pure Strategy Nash Equilibrium in a Group Formation Game with Positive Externalities," Games and Economic Behavior, Elsevier, vol. 21(1-2), pages 161-182, October.

    More about this item

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D62 - Microeconomics - - Welfare Economics - - - Externalities

    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:joecth:v:9:y:1996:i:1:p:97-113. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Sonal Shukla) or (Rebekah McClure). General contact details of provider: http://www.springer.com .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.