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Bargaining in networks and the myerson value

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  • Navarro, Noemí
  • Perea, Andrés

Abstract

We focus on a multiperson bargaining situation where the negotiation possibilities for the players are represented by a graph, that is, two players can negotiate directly with each other if and only if they are linked directly in the graph. The value of cooperation among players is given by a TU game. For the case where the graph is a tree and the TU game is strictly convex we present a noncooperative bargaining procedure, consisting of a sequence of bilateral negotiations, for which the unique subgame perfect equilibrium outcome coincides with the Myerson value of the induced graph-restricted game. In each bilateral negotiation, the corresponding pair of players bargains about the difference in payoffs to be received at the end. At the beginning of such negotiation there is a bidding stage in which both players announce prices. The player with the highest price becomes the proposer and makes a take-it-or-leave-it offer in terms of difference in payoffs to the other player. If the proposal is rejected, the proposer pays his announced price to the other player, after which this particular link is eliminated from the graph and the mechanism starts all over again for the remaining graph.

Suggested Citation

  • Navarro, Noemí & Perea, Andrés, 2001. "Bargaining in networks and the myerson value," UC3M Working papers. Economics we016121, Universidad Carlos III de Madrid. Departamento de Economía.
    • Handle: RePEc:cte:werepe:we016121
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    References listed on IDEAS

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    1. 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.
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    7. Suresh Mutuswami & David Pérez-Castrillo & David Wettstein, 2001. "Bidding for the Surplus: Realizing Efficient Outcomes in General Economic Environments," UFAE and IAE Working Papers 479.01, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
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    Cited by:

    1. Pin, Paolo, 2011. "Eight degrees of separation," Research in Economics, Elsevier, vol. 65(3), pages 259-270, September.
    2. Perez-Castrillo, David & Wettstein, David, 2005. "Forming efficient networks," Economics Letters, Elsevier, vol. 87(1), pages 83-87, April.
    3. Juan Vidal-Puga, 2003. "A bargaining approach to the consistent value for NTU games with coalition structure," Game Theory and Information 0303001, University Library of Munich, Germany.
    4. Juan Vidal-Puga, 2005. "Implementation of the Levels Structure Value," Annals of Operations Research, Springer, vol. 137(1), pages 191-209, July.
    5. Matthew O. Jackson, 2003. "A Survey of Models of Network Formation: Stability and Efficiency," Game Theory and Information 0303011, University Library of Munich, Germany.
    6. Noemí Navarro & Róbert Veszteg, 2008. "Threats and demonstrations of power: experimental results on bilateral bargaining," Working Papers 2008-11, Universidad de Málaga, Department of Economic Theory, Málaga Economic Theory Research Center.
    7. Noemí NAVARRO & Róbert VESZTEG, 2007. "Fair ultimatum: an experimental study of the Myerson value," Cahiers de Recherches Economiques du Département d'économie 07.05, Université de Lausanne, Faculté des HEC, Département d’économie.
    8. Navarro, Noemí & Veszteg, Róbert F., 2011. "Demonstration of power: Experimental results on bilateral bargaining," Journal of Economic Psychology, Elsevier, vol. 32(5), pages 762-772.
    9. Jackson, Matthew O., 2005. "Allocation rules for network games," Games and Economic Behavior, Elsevier, vol. 51(1), pages 128-154, April.

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