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Bargaining and Cooperation in Strategic Form Games

Author

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  • Sergiu Hart
  • Andreu Mas-Colell

Abstract

In this paper we view bargaining and cooperation as an interaction superimposed on a game in strategic form. A multistage bargaining procedure for N players, the "proposer commitment" procedure, is presented. It is inspired by Nash's two-player variable-threat model; a key feature is the commitment to "threats." We establish links to classical cooperative game theory solutions, such as the Shapley value in the transferable utility case. However, we show that even in standard pure exchange economies, the traditional coalitional function may not be adequate when utilities are not transferable. (JEL: C70, C71, C78, D70) (c) 2010 by the European Economic Association.

Suggested Citation

  • 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.
    • Handle: RePEc:tpr:jeurec:v:8:y:2010:i:1:p:7-33
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    Citations

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    Cited by:

    1. Giuseppe Attanasi & Aurora García-Gallego & Nikolaos Georgantzís & Aldo Montesano, 2015. "Bargaining over Strategies of Non-Cooperative Games," Games, MDPI, vol. 6(3), pages 1-26, August.
    2. Françoise Forges & Roberto Serrano, 2013. "Cooperative Games With Incomplete Information: Some Open Problems," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 15(02), pages 1-17.
    3. Valentin Goranko, 2022. "Preplay Negotiations with Unconditional Offers of Side Payments in Two-Player Strategic-Form Games: Towards Non-Cooperative Cooperation," Mathematics, MDPI, vol. 10(14), pages 1-21, July.
    4. Zhigang Cao, 2011. "Remarks on Bargaining and Cooperation in Strategic Form Games," Discussion Paper Series dp565, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    5. Alfredo Valencia-Toledo & Juan Vidal-Puga, 2020. "A sequential bargaining protocol for land rental arrangements," Review of Economic Design, Springer;Society for Economic Design, vol. 24(1), pages 65-99, June.
    6. Zhigang Cao, 2013. "Bargaining and cooperation in strategic form games with suspended realizations of threats," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(2), pages 337-358, July.
    7. David Gaddis Ross, 2018. "Using cooperative game theory to contribute to strategy research," Strategic Management Journal, Wiley Blackwell, vol. 39(11), pages 2859-2876, November.
    8. Aldo Montesano, 2022. "The Impossibility of a Paretian Liberal, Game Theory and Negotiation," Italian Economic Journal: A Continuation of Rivista Italiana degli Economisti and Giornale degli Economisti, Springer;Società Italiana degli Economisti (Italian Economic Association), vol. 8(3), pages 719-732, November.
    9. repec:dau:papers:123456789/8158 is not listed on IDEAS
    10. Cao, Zhigang, 2013. "Equilibrium computation of the Hart and Mas-Colell bargaining model," Mathematical Social Sciences, Elsevier, vol. 66(2), pages 152-162.

    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
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General

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