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Bargaining with commitments

  • Juan J. Vidal-Puga

    ()

We study a simple bargaining mechanism in which, given an order of players, the first n−1 players sequentially announce their reservation price. Once these prices are given, the last player may choose a coalition to cooperate with, and pay each member of this coalition his reservation price. The only expected final equilibrium payoff is a new solution concept, the “selective value”, which can be defined by means of marginal contributions vectors of a reduced game. The selective value coincides with the Shapley value for convex games. Moreover, for 3-player games the vectors of marginal contributions determine the core when it is nonempty. Copyright Springer-Verlag 2004

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File URL: http://hdl.handle.net/10.1007/s001820400190
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Article provided by Springer in its journal International Journal of Games Theory.

Volume (Year): 33 (2004)
Issue (Month): 1 (January)
Pages: 129-144

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Handle: RePEc:spr:jogath:v:33:y:2004:i:1:p:129-144
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  1. Bennett, E. & Van Damme, E., 1990. "Demand Commitment Bargaining: -The Case Of Apex Games," Papers 9062, Tilburg - Center for Economic Research.
  2. Fershtman, C. & Kalai, E., 1993. "Unobserved Delegation," Papers 10-93, Tel Aviv - the Sackler Institute of Economic Studies.
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  3. Michael L. Katz., 1991. "Game-Playing Agents: Unobservable Contracts as Precommitments," Economics Working Papers 91-172, University of California at Berkeley.
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  6. Harold Houba & Wilko Bolt, 1997. "Strategic bargaining in the variable threat game," Economic Theory, Springer, vol. 11(1), pages 57-77.
  7. Vidal-Puga, Juan & Bergantinos, Gustavo, 2003. "An implementation of the Owen value," Games and Economic Behavior, Elsevier, vol. 44(2), pages 412-427, August.
  8. Selten,Reinhard, . "A demand commitment model of coalition bargaining," Discussion Paper Serie B 191, University of Bonn, Germany.
  9. Sergiu Hart & Andreu Mas-Colell, 1994. "Bargaining and value," Economics Working Papers 114, Department of Economics and Business, Universitat Pompeu Fabra, revised Feb 1995.
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  11. (*), Y. Stephen Chiu & Ani Dasgupta, 1998. "On implementation via demand commitment games," International Journal of Game Theory, Springer, vol. 27(2), pages 161-189.
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  13. Haller, Hans & Holden, Steinar, 1997. "Ratification Requirement and Bargaining Power," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(4), pages 825-51, November.
  14. Muthoo, Abhinay, 1996. "A Bargaining Model Based on the Commitment Tactic," Journal of Economic Theory, Elsevier, vol. 69(1), pages 134-152, April.
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  16. Crawford, Vincent P, 1982. "A Theory of Disagreement in Bargaining," Econometrica, Econometric Society, vol. 50(3), pages 607-37, May.
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