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A Simple Bargaining Procedure for the Myerson Value

Author

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  • 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'Economique 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
    File Function: First version, 2010
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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.
    2. Perez-Castrillo, David & Wettstein, David, 2001. "Bidding for the Surplus : A Non-cooperative Approach to the Shapley Value," Journal of Economic Theory, Elsevier, vol. 100(2), pages 274-294, October.
    3. van den Nouweland, Anne & Borm, Peter, 1991. "On the Convexity of Communication Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 19(4), pages 421-430.
    4. (*), 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.
    5. Calvo, Emilio & Lasaga, Javier & van den Nouweland, Anne, 1999. "Values of games with probabilistic graphs," Mathematical Social Sciences, Elsevier, vol. 37(1), pages 79-95, January.
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    Cited by:

    1. Catherine C. Fontenay & Joshua S. Gans, 2014. "Bilateral Bargaining with Externalities," Journal of Industrial Economics, Wiley Blackwell, vol. 62(4), pages 756-788, December.
    2. Matthew Elliott & Arun Chandrasekhar & Attila Ambrus, 2015. "Social Investments, Informal Risk Sharing, and Inequality," 2015 Meeting Papers 189, Society for Economic Dynamics.
    3. 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.
    4. Philippe Solal & Sylvain Béal & Sylvain Ferrières & Eric Rémila, 2017. "Axiomatic and bargaining foundation of an allocation rule for ordered tree TU-games," Post-Print halshs-01644811, HAL.

    More about this item

    Keywords

    Myerson value; networks; bargaining; cooperation;

    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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