IDEAS home Printed from https://ideas.repec.org/a/gam/jgames/v6y2015i3p273-298d55084.html
   My bibliography  Save this article

Bargaining over Strategies of Non-Cooperative Games

Author

Listed:
  • Giuseppe Attanasi

    () (BETA, University of Strasbourg, 61 Av. de la Foret Noire, 67000 Strasbourg, France)

  • Aurora García-Gallego

    () (LEE & Department of Economics, Universitat Jaume I, Avda. Sos Baynat s/n, Campus Riu Sec, 12071 Castellón, Spain)

  • Nikolaos Georgantzís

    () (LEE & Department of Economics, Universitat Jaume I, Avda. Sos Baynat s/n, Campus Riu Sec, 12071 Castellón, Spain
    School of Agriculture Policy and Development, University of Reading, P.O. Box 237, Reading RG6 6AR, UK)

  • Aldo Montesano

    () (Department of Economics, Bocconi University, 1 via Roentgen, 20136 Milan, Italy)

Abstract

We propose a bargaining process supergame over the strategies to play in a non-cooperative game. The agreement reached by players at the end of the bargaining process is the strategy profile that they will play in the original non-cooperative game. We analyze the subgame perfect equilibria of this supergame, and its implications on the original game. We discuss existence, uniqueness, and efficiency of the agreement reachable through this bargaining process. We illustrate the consequences of applying such a process to several common two-player non-cooperative games: the Prisoner’s Dilemma, the Hawk-Dove Game, the Trust Game, and the Ultimatum Game. In each of them, the proposed bargaining process gives rise to Pareto-efficient agreements that are typically different from the Nash equilibrium of the original games.

Suggested Citation

  • Giuseppe Attanasi & Aurora García-Gallego & Nikolaos Georgantzís & Aldo Montesano, 2015. "Bargaining over Strategies of Non-Cooperative Games," Games, MDPI, Open Access Journal, vol. 6(3), pages 1-26, August.
  • Handle: RePEc:gam:jgames:v:6:y:2015:i:3:p:273-298:d:55084
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2073-4336/6/3/273/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2073-4336/6/3/273/
    Download Restriction: no

    References listed on IDEAS

    as
    1. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
    2. Cooper, Russell & DeJong, Douglas V. & Forsythe, Robert & Ross, Thomas W., 1996. "Cooperation without Reputation: Experimental Evidence from Prisoner's Dilemma Games," Games and Economic Behavior, Elsevier, vol. 12(2), pages 187-218, February.
    3. James W. Friedman, 1971. "A Non-cooperative Equilibrium for Supergames," Review of Economic Studies, Oxford University Press, vol. 38(1), pages 1-12.
    4. Guth, Werner & Huck, Steffen & Muller, Wieland, 2001. "The Relevance of Equal Splits in Ultimatum Games," Games and Economic Behavior, Elsevier, vol. 37(1), pages 161-169, October.
    5. Giuseppe Attanasi & Pierpaolo Battigalli & Elena Manzoni, 2016. "Incomplete-Information Models of Guilt Aversion in the Trust Game," Management Science, INFORMS, vol. 62(3), pages 648-667, March.
    6. Chae, Suchan & Yang, Jeong-Ae, 1988. "The unique perfect equilibrium of an n-person bargaining game," Economics Letters, Elsevier, vol. 28(3), pages 221-223.
    7. Neugebauer, Tibor & Poulsen, Anders & Schram, Arthur, 2008. "Fairness and reciprocity in the Hawk-Dove Game," Journal of Economic Behavior & Organization, Elsevier, vol. 66(2), pages 243-250, May.
    8. Attanasi, Giuseppe Marco & Garcia-Gallego, Aurora & Georgantzis, Nikolaos & Montesano, Aldo, 2011. "An Experiment on Prisoner’s Dilemma with Confirmed Proposals," TSE Working Papers 11-274, Toulouse School of Economics (TSE).
    9. Smale, Steve, 1980. "The Prisoner's Dilemma and Dynamical Systems Associated to Non-Cooperative Games," Econometrica, Econometric Society, vol. 48(7), pages 1617-1634, November.
    10. Cubitt, Robin P & Sugden, Robert, 1994. "Rationally Justifiable Play and the Theory of Non-cooperative Games," Economic Journal, Royal Economic Society, vol. 104(425), pages 798-803, July.
    11. Sergiu Hart & Andreu Mas-Colell, 2010. "Bargaining and Cooperation in Strategic Form Games," Journal of the European Economic Association, MIT Press, vol. 8(1), pages 7-33, March.
    12. Jordi Brandts & Antonio Cabrales & Gary Charness, 2007. "Forward induction and entry deterrence: an experiment," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 33(1), pages 183-209, October.
    13. Asheim, Geir B., 1992. "A unique solution to n-person sequential bargaining," Games and Economic Behavior, Elsevier, vol. 4(2), pages 169-181, April.
    14. John Sutton, 1986. "Non-Cooperative Bargaining Theory: An Introduction," Review of Economic Studies, Oxford University Press, vol. 53(5), pages 709-724.
    15. Gale, John & Binmore, Kenneth G. & Samuelson, Larry, 1995. "Learning to be imperfect: The ultimatum game," Games and Economic Behavior, Elsevier, vol. 8(1), pages 56-90.
    16. Muthoo, Abhinay, 1990. "Bargaining without commitment," Games and Economic Behavior, Elsevier, vol. 2(3), pages 291-297, September.
    17. Muthoo, Abhinay, 1991. "A Note on Bargaining over a Finite Number of Feasible Agreements," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(3), pages 290-292, July.
    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. repec:gam:jgames:v:8:y:2017:i:4:p:42-:d:113917 is not listed on IDEAS

    More about this item

    Keywords

    bargaining; supergame; confirmed proposals; confirmed agreements;

    JEL classification:

    • C - Mathematical and Quantitative Methods
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • 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:gam:jgames:v:6:y:2015:i:3:p:273-298:d:55084. 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: (XML Conversion Team). General contact details of provider: https://www.mdpi.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.

    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.