IDEAS home Printed from https://ideas.repec.org/a/wly/emetrp/v87y2019i1p111-138.html
   My bibliography  Save this article

The Myopic Stable Set for Social Environments

Author

Listed:
  • Thomas Demuynck
  • P. Jean‐Jacques Herings
  • Riccardo D. Saulle
  • Christian Seel

Abstract

We introduce a new solution concept for models of coalition formation, called the myopic stable set (MSS). The MSS is defined for a general class of social environments and allows for an infinite state space. An MSS exists and, under minor continuity assumptions, it is also unique. The MSS generalizes and unifies various results from more specific applications. It coincides with the coalition structure core in coalition function form games when this set is nonempty; with the set of stable matchings in the Gale–Shapley matching model; with the set of pairwise stable networks and closed cycles in models of network formation; and with the set of pure strategy Nash equilibria in pseudo‐potential games and finite supermodular games. We also characterize the MSS for the class of proper simple games.

Suggested Citation

  • Thomas Demuynck & P. Jean‐Jacques Herings & Riccardo D. Saulle & Christian Seel, 2019. "The Myopic Stable Set for Social Environments," Econometrica, Econometric Society, vol. 87(1), pages 111-138, January.
  • Handle: RePEc:wly:emetrp:v:87:y:2019:i:1:p:111-138
    as

    Download full text from publisher

    File URL: https://doi.org/10.3982/ECTA14954
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    as
    1. Jean-Jacques Herings, P. & Mauleon, Ana & Vannetelbosch, Vincent, 2017. "Stable sets in matching problems with coalitional sovereignty and path dominance," Journal of Mathematical Economics, Elsevier, vol. 71(C), pages 14-19.
    2. Lucas, William F., 1992. "Von Neumann-Morgenstern stable sets," Handbook of Game Theory with Economic Applications,in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 17, pages 543-590 Elsevier.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Herings, P. Jean-Jacques & Saulle, Riccardo & Seel, Christian, 2018. "The Last will be First, and the First Last: Segregation in Societies with Positional Externalities," Research Memorandum 027, Maastricht University, Graduate School of Business and Economics (GSBE).
    2. repec:kap:theord:v:87:y:2019:i:2:d:10.1007_s11238-019-09698-4 is not listed on IDEAS
    3. Thomas Demuynck & P. Jean-Jacques Herings & Riccardo D. Saulle & Christian Seel, 2019. "Bertrand competition with asymmetric costs: a solution in pure strategies," Theory and Decision, Springer, vol. 87(2), pages 147-154, September.

    More about this item

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative 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:wly:emetrp:v:87:y:2019:i:1:p:111-138. 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: (Wiley Content Delivery). General contact details of provider: http://edirc.repec.org/data/essssea.html .

    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 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.

    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.