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A Simple Bargaining Procedure for the Myerson Value

Author

Listed:
  • Noemí Navarro

    (Departement d’Économique et GREDI, Université de Sherbrooke)

  • Andrés Perea

    (Department of Quantitative Economics, Maastricht University)

Abstract
We consider situations where the cooperation and negotiation possibilities between pairs of agents are given by an undirected graph. Every connected component of agents has a value, which is the total surplus the agents can generate by working together. We present a simple, sequential, bilateral bargaining procedure, in which at every stage the two agents in a link (i, j) bargain about their share from cooperation in the connected component they are part of. We show that, if the marginal value of a link is increasing in the number of links in the connected component it belongs to, then this procedure yields exactly the Myerson value payoff (Myerson, 1977) for every player.

Suggested Citation

  • Noemí Navarro & Andrés Perea, 2010. "A Simple Bargaining Procedure for the Myerson Value," Cahiers de recherche 10-29, Departement d'économique de l'École de gestion à l'Université de Sherbrooke.
    • Handle: RePEc:shr:wpaper:10-29
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    File URL: http://gredi.recherche.usherbrooke.ca/wpapers/GREDI-1029.pdf
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    References listed on IDEAS

    as
    1. Vidal-Puga, Juan & Bergantinos, Gustavo, 2003. "An implementation of the Owen value," Games and Economic Behavior, Elsevier, vol. 44(2), pages 412-427, August.
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    8. Vazquez-Brage, Margarita & Garcia-Jurado, Ignacio & Carreras, Francesc, 1996. "The Owen Value Applied to Games with Graph-Restricted Communication," Games and Economic Behavior, Elsevier, vol. 12(1), pages 42-53, January.
    9. (*), Y. Stephen Chiu & Ani Dasgupta, 1998. "On implementation via demand commitment games," International Journal of Game Theory, Springer;Game Theory Society, vol. 27(2), pages 161-189.
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    Full references (including those not matched with items on IDEAS)

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    Cited by:

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    2. Attila Ambrus & Arun G. Chandrasekhar & Matt Elliott, 2014. "Social Investments, Informal Risk Sharing, and Inequality," NBER Working Papers 20669, National Bureau of Economic Research, Inc.
    3. Sylvain Béal & Sylvain Ferrières & Eric Rémila & Philippe Solal, 2017. "Axiomatic and bargaining foundation of an allocation rule for ordered tree TU-games," Post-Print halshs-01644797, HAL.
    4. Catherine C. Fontenay & Joshua S. Gans, 2014. "Bilateral Bargaining with Externalities," Journal of Industrial Economics, Wiley Blackwell, vol. 62(4), pages 756-788, December.
    5. Béal, Sylvain & Ferrières, Sylvain & Rémila, Eric & Solal, Philippe, 2018. "Axiomatization of an allocation rule for ordered tree TU-games," Mathematical Social Sciences, Elsevier, vol. 93(C), pages 132-140.
    6. Attila Ambrus & Matt Elliott, 2021. "Investments in social ties, risk sharing, and inequality [“Collaboration Networks, Structural Holes, and Innovation: A Longitudinal Study”]," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 88(4), pages 1624-1664.
    7. Matthew Elliott & Arun Chandrasekhar & Attila Ambrus, 2015. "Social Investments, Informal Risk Sharing, and Inequality," 2015 Meeting Papers 189, Society for Economic Dynamics.
    8. Xiaowei Yu & Keith Waehrer, 2024. "Recursive Nash-in-Nash bargaining solution," Economics Bulletin, AccessEcon, vol. 44(1), pages 11-24.

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    More about this item

    Keywords

    Myerson value; networks; bargaining; cooperation;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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