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Bargaining with commitments

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Author Info
Juan J. Vidal-Puga ()

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Abstract

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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Publisher Info
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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Related research
Keywords: bargaining; demand commitment game; selective value;

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References listed on IDEAS
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. Selten,Reinhard, . "A demand commitment model of coalition bargaining," Discussion Paper Serie B 191, University of Bonn, Germany.
  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)
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  4. Muthoo, Abhinay, 1996. "A Bargaining Model Based on the Commitment Tactic," Journal of Economic Theory, Elsevier, vol. 69(1), pages 134-152, April. [Downloadable!] (restricted)
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  5. Vidal-Puga, Juan & Bergantinos, Gustavo, 2003. "An implementation of the Owen value," Games and Economic Behavior, Elsevier, vol. 44(2), pages 412-427, August. [Downloadable!] (restricted)
  6. Crawford, Vincent P, 1982. "A Theory of Disagreement in Bargaining," Econometrica, Econometric Society, vol. 50(3), pages 607-37, May. [Downloadable!] (restricted)
  7. 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.
  8. Michael L. Katz, 1991. "Game-Playing Agents: Unobservable Contracts as Precommitments," RAND Journal of Economics, The RAND Corporation, vol. 22(3), pages 307-328, Autumn. [Downloadable!] (restricted)
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  9. Muthoo, Abhinay, 1992. "Revocable Commitment and Sequential Bargaining," Economic Journal, Royal Economic Society, vol. 102(411), pages 378-87, March. [Downloadable!] (restricted)
  10. Harold Houba & Wilko Bolt, 1997. "Strategic bargaining in the variable threat game," Economic Theory, Springer, vol. 11(1), pages 57-77. [Downloadable!] (restricted)
  11. Moldovanu, Benny & Winter, Eyal, 1994. "Core implementation and increasing returns to scale for cooperation," Journal of Mathematical Economics, Elsevier, vol. 23(6), pages 533-548, November. [Downloadable!] (restricted)
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  12. Bester, Helmut & Sakovics, Jozsef, 2001. "Delegated bargaining and renegotiation," Journal of Economic Behavior & Organization, Elsevier, vol. 45(4), pages 459-473, August. [Downloadable!] (restricted)
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  13. Fershtman, Chaim & Kalai, Ehud, 1997. "Unobserved Delegation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(4), pages 763-74, November.
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  14. Corts, Kenneth S. & Neher, Darwin V., 2003. "Credible delegation," European Economic Review, Elsevier, vol. 47(3), pages 395-407, June. [Downloadable!] (restricted)
  15. Bennett, E. & Van Damme, E., 1990. "Demand Commitment Bargaining: -The Case Of Apex Games," Papers 9062, Tilburg - Center for Economic Research.
  16. Winter, Eyal, 1994. "The Demand Commitment Bargaining and Snowballing Cooperation," Economic Theory, Springer, vol. 4(2), pages 255-73, March.
Full references

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. Roberto Serrano, 2004. "Fifty Years of the Nash Program, 1953-2003," Working Papers 2004-20, Brown University, Department of Economics. [Downloadable!]
    Other versions:
  2. Yves Breitmoser, 2009. "Demand commitments in majority bargaining or how formateurs get their way," International Journal of Game Theory, Springer, vol. 38(2), pages 183-191, June. [Downloadable!] (restricted)
  3. Inés Macho-Stadler & David Pérez-Castrillo & David Wettstein, 2005. "Efficient Bidding with Externalities," UFAE and IAE Working Papers 641.05, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC). [Downloadable!]
    Other versions:
  4. Yuan Ju & David Wettstein, 2009. "Implementing cooperative solution concepts: a generalized bidding approach," Economic Theory, Springer, vol. 39(2), pages 307-330, May. [Downloadable!] (restricted)
    Other versions:
  5. Maria Montero & Juan Vidal-Puga, 2006. "Demand Bargaining and Proportional Payoffs in Legislatures," Discussion Papers 2006-11, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham. [Downloadable!]
  6. Maria Montero & Juan Vidal-Puga, 2005. "Demand commitment in legislative bargaining," Game Theory and Information 0511005, EconWPA. [Downloadable!]
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