IDEAS home Printed from https://ideas.repec.org/p/ven/wpaper/201615.html
   My bibliography  Save this paper

Non-cooperative equilibrium with multiple deviators

Author

Listed:
  • Dmitry Levando

    (National Research University - Higher School of Economics, Moscow)

Abstract

The paper suggests a non-cooperative simultaneous game, with a number of potential deviators is a parameter of the game. A definition of the game embeds mechanism design. The game has an equilibrium in mixed strategies. The equilibrium encompasses intra and inter group externalities and individual payoffs that make it different from a strong Nash, coalition-proof equilibrium and some other equilibrium concepts. We offer a non-cooperative stability criterion to describe a robustness of an equilibrium strategy profile to an increase in a number of deviators. The criterium may serve as a way to measure trust for the equilibrium in terms of a number of potential deviators.

Suggested Citation

  • Dmitry Levando, 2016. "Non-cooperative equilibrium with multiple deviators," Working Papers 2016:15, Department of Economics, University of Venice "Ca' Foscari".
    • Handle: RePEc:ven:wpaper:2016:15
    as

    Download full text from publisher

    File URL: https://www.unive.it/web/fileadmin/user_upload/dipartimenti/DEC/doc/Pubblicazioni_scientifiche/working_papers/2016/WP_DSE_levando_15_16.pdf
    File Function: First version, anno
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Roger B. Myerson, 1977. "Graphs and Cooperation in Games," Mathematics of Operations Research, INFORMS, vol. 2(3), pages 225-229, August.
    2. Michael Finus & Bianca Rundshagen, 2003. "How the Rules of Coalition Formation Affect Stability of International Environmental Agreements," Working Papers 2003.62, Fondazione Eni Enrico Mattei.
    3. Roberto Serrano, 2005. "Fifty years of the Nash program, 1953-2003," Investigaciones Economicas, Fundación SEPI, vol. 29(2), pages 219-258, May.
    4. Bernheim, B. Douglas & Peleg, Bezalel & Whinston, Michael D., 1987. "Coalition-Proof Nash Equilibria I. Concepts," Journal of Economic Theory, Elsevier, vol. 42(1), pages 1-12, June.
    5. Maskin, Eric, 2011. "Commentary: Nash equilibrium and mechanism design," Games and Economic Behavior, Elsevier, vol. 71(1), pages 9-11, January.
    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. Dmitry Levando, 2021. "Formation of coalition structures as a non-cooperative game," Papers 2107.00711, arXiv.org.
    2. Dmitry Levando, 2017. "Formation of coalition structures as a non-cooperative game," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01491935, HAL.
    3. Dmitry Levando, 2017. "Formation of coalition structures as a non-cooperative game," Documents de travail du Centre d'Economie de la Sorbonne 17015, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    4. Dmitry Levando, 2017. "Formation of Coalition Structures as a Non-Cooperative Game," HSE Working papers WP BRP 157/EC/2017, National Research University Higher School of Economics.
    5. Dmitry Levando, 2017. "Formation of coalition structures as a non-cooperative game," Post-Print halshs-01491935, HAL.
    6. Dmitry Levando, 2017. "Formation of coalition structures as a non-cooperative game," Documents de travail du Centre d'Economie de la Sorbonne 17015r, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne, revised May 2017.
    7. Dutta, Bhaskar & Mutuswami, Suresh, 1997. "Stable Networks," Journal of Economic Theory, Elsevier, vol. 76(2), pages 322-344, October.
      • Dutta, Bhaskar & Mutuswami, Suresh, 1996. "Stable Networks," Working Papers 971, California Institute of Technology, Division of the Humanities and Social Sciences.
    8. Demange, Gabrielle, 2024. "Stable outcomes in simple cooperative games," Journal of Mathematical Economics, Elsevier, vol. 111(C).
    9. Marco Marini, 2007. "An Overview of Coalition & Network Formation Models for Economic Applications," Working Papers 0712, University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini, revised 2007.
    10. André Casajus, 2009. "Networks and outside options," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 32(1), pages 1-13, January.
    11. Newton, Jonathan, 2012. "Coalitional stochastic stability," Games and Economic Behavior, Elsevier, vol. 75(2), pages 842-854.
    12. Cubukcu, K. Mert, 2020. "The problem of fair division of surplus development rights in redevelopment of urban areas: Can the Shapley value help?," Land Use Policy, Elsevier, vol. 91(C).
    13. Ferreira, Jose Luis, 1999. "Endogenous Formation of Coalitions in Noncooperative Games," Games and Economic Behavior, Elsevier, vol. 26(1), pages 40-58, January.
    14. Marco A. Marini, 2007. "An Overview of Coalitions and Networks Formation Models for Economic Applications," Working Papers 0707, CREI Università degli Studi Roma Tre, revised 2007.
    15. Kamijo, Yoshio, 2008. "Implementation of weighted values in hierarchical and horizontal cooperation structures," Mathematical Social Sciences, Elsevier, vol. 56(3), pages 336-349, November.
    16. Andersson, O. & Argenton, C. & Weibull, J., 2010. "Robustness to Strategic Uncertainty (Revision of DP 2010-70)," Discussion Paper 2010-98, Tilburg University, Center for Economic Research.
    17. Guang Zhang & Erfang Shan & Liying Kang & Yanxia Dong, 2017. "Two efficient values of cooperative games with graph structure based on $$\tau $$ τ -values," Journal of Combinatorial Optimization, Springer, vol. 34(2), pages 462-482, August.
    18. Johan Eyckmans & Michael Finus, 2006. "New roads to international environmental agreements: the case of global warming," Environmental Economics and Policy Studies, Springer;Society for Environmental Economics and Policy Studies - SEEPS, vol. 7(4), pages 391-414, December.
    19. Pravin Krishna & Devashish Mitra, 2016. "Reciprocated unilateralism in trade policy," World Scientific Book Chapters, in: The Political Economy of Trade Policy Theory, Evidence and Applications, chapter 3, pages 37-63, World Scientific Publishing Co. Pte. Ltd..
    20. Grossman, Gene M & Helpman, Elhanan, 1995. "The Politics of Free-Trade Agreements," American Economic Review, American Economic Association, vol. 85(4), pages 667-690, September.

    More about this item

    Keywords

    Non-cooperative games;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:ven:wpaper:2016:15. 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: Sassano Sonia (email available below). General contact details of provider: https://edirc.repec.org/data/dsvenit.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.