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Negotiation across multiple issues

Author

Listed:
  • Gayer, Gabrielle

    (Department of Economics, Bar Ilan University)

  • Persitz, Dotan

    (Recanati Graduate School of Business Administration, Tel Aviv University)

Abstract

In the present work, agreement on allocation of payments from multiple issues requires unanimous consent of all parties involved. The agents are assumed to know the aggregate payoffs but do not know their decomposition by issues. This framework applies to many real-world problems, such as the formation of joint ventures. We present a novel solution concept to the problem, termed the multi-core, wherein an agent consents to participate in the grand coalition if she can envision a decomposition of the proposed allocation for which each coalition to which she belongs derives greater benefit on each issue by cooperating with the grand coalition rather than operating alone. An allocation is in the multi-core if all agents consent to participate in the grand coalition. We provide a theorem characterizing the non-emptiness of the multi-core and show that the multi-core generalizes the core. We prove that the approach of the multi-core has the potential to increase cooperation among parties beyond that of solving issues independently. In addition, we establish that the multi-core wherein agents take into account the specifics of the original issues is a refinement of the core of the sum of individual issues in which such information is ignored.

Suggested Citation

  • Gayer, Gabrielle & Persitz, Dotan, 2016. "Negotiation across multiple issues," Theoretical Economics, Econometric Society, vol. 11(3), September.
    • Handle: RePEc:the:publsh:1865
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    References listed on IDEAS

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    Cited by:

    1. Sokolov, Denis, 2022. "Shapley value for TU-games with multiple memberships and externalities," Mathematical Social Sciences, Elsevier, vol. 119(C), pages 76-90.
    2. Lehrer, Ehud & Teper, Roee, 2020. "Allocation in multi-agenda disputes: A set-valued games approach," Games and Economic Behavior, Elsevier, vol. 122(C), pages 440-452.

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    More about this item

    Keywords

    Cooperative games; issue linkage; multi-issue bargaining; multi-core;
    All these keywords.

    JEL classification:

    • 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
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions

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