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Bargaining In Networks And The Myerson Value

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Author Info
Noemí Navarro ()
Andrés Perea ()

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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.

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Paper provided by Universidad Carlos III, Departamento de Economía in its series Economics Working Papers with number we016121.

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Date of creation: Nov 2001
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Handle: RePEc:cte:werepe:we016121

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  1. Gul, Faruk, 1989. "Bargaining Foundations of Shapley Value," Econometrica, Econometric Society, vol. 57(1), pages 81-95, January. [Downloadable!] (restricted)
  2. (*), Y. Stephen Chiu & Ani Dasgupta, 1998. "On implementation via demand commitment games," International Journal of Game Theory, Springer, vol. 27(2), pages 161-189. [Downloadable!] (restricted)
  3. Hart, Sergiu & Mas-Colell, Andreu, 1996. "Bargaining and Value," Econometrica, Econometric Society, vol. 64(2), pages 357-80, March. [Downloadable!] (restricted)
    Other versions:
  4. 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. [Downloadable!] (restricted)
    Other versions:
  5. Moulin, H., 1984. "Implementing the Kalai-Smorodinsky bargaining solution," Journal of Economic Theory, Elsevier, vol. 33(1), pages 32-45, June. [Downloadable!] (restricted)
  6. Roger B. Myerson, 1976. "Graphs and Cooperation in Games," Discussion Papers 246, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
  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). [Downloadable!]
  8. Jackson, Matthew O. & Wolinsky, Asher, 1996. "A Strategic Model of Social and Economic Networks," Journal of Economic Theory, Elsevier, vol. 71(1), pages 44-74, October. [Downloadable!] (restricted)
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  9. Winter, Eyal, 1994. "The Demand Commitment Bargaining and Snowballing Cooperation," Economic Theory, Springer, vol. 4(2), pages 255-73, March.
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Juan Vidal-Puga, 2003. "Implementation of the levels structure value," Game Theory and Information 0303006, EconWPA. [Downloadable!]
  2. Juan Vidal-Puga, 2003. "A bargaining approach to the consistent value for NTU games with coalition structure," Game Theory and Information 0303001, EconWPA. [Downloadable!]
  3. Matthew O. Jackson, 2003. "Allocation Rules for Network Games," Working Papers 2003.51, Fondazione Eni Enrico Mattei. [Downloadable!]
    Other versions:
  4. Paolo Pin, 2006. "Eight degrees of separation," Working Papers 2006_26, University of Venice "Ca' Foscari", Department of Economics. [Downloadable!]
    Other versions:
  5. 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. [Downloadable!]
  6. Matthew O. Jackson, 2003. "A Survey of Models of Network Formation: Stability and Efficiency," Game Theory and Information 0303011, EconWPA. [Downloadable!]
    Other versions:
  7. Noemí NAVARRO & Róbert VESZTEG, 2007. "Fair ultimatum: an experimental study of the Myerson value," Cahiers de Recherches Economiques du Département d'Econométrie et d'Economie politique (DEEP) 07.05, Université de Lausanne, Faculté des HEC, DEEP. [Downloadable!]
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