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Bargaining with commitments

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  • Juan J. Vidal-Puga

    ()

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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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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Keywords: bargaining; demand commitment game; selective value;

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Find related papers by 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
  • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

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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.
    • 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.
  3. Michael L. Katz., 1991. "Game-Playing Agents: Unobservable Contracts as Precommitments," Economics Working Papers 91-172, University of California at Berkeley.
  4. 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.
  5. Helmut Bester & J?sef S?ovics, . "Delegated Bargaining And Renegotiation," UFAE and IAE Working Papers 440.99, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  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.
  10. Winter, Eyal, 1994. "The Demand Commitment Bargaining and Snowballing Cooperation," Economic Theory, Springer, vol. 4(2), pages 255-73, March.
  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.
  12. Corts, Kenneth S. & Neher, Darwin V., 2003. "Credible delegation," European Economic Review, Elsevier, vol. 47(3), pages 395-407, June.
  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.
  15. Muthoo, Abhinay, 1992. "Revocable Commitment and Sequential Bargaining," Economic Journal, Royal Economic Society, vol. 102(411), pages 378-87, March.
  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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Cited by:

  1. Yuan Ju & David Wettstein, 2006. "Implementing Cooperative Solution Concepts: a Generalized Bidding Approach," Keele Economics Research Papers KERP 2006/06, Centre for Economic Research, Keele University.
  2. 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).
  3. Roberto Serrano, 2005. "Fifty years of the Nash program, 1953-2003," Investigaciones Economicas, Fundación SEPI, vol. 29(2), pages 219-258, May.
  4. Ying Chen & Hülya Eraslan, 2010. "Rhetoric in Legislative Bargaining with Asymmetric Information," Koç University-TUSIAD Economic Research Forum Working Papers 1021, Koc University-TUSIAD Economic Research Forum.
  5. Ying Chen, 2010. "Rhetoric in Legislative Bargaining with Asymmetric Information," 2010 Meeting Papers 1159, Society for Economic Dynamics.
  6. Breitmoser, Yves & Tan, Jonathan H.W., 2011. "Ultimata bargaining: generosity without social motives," MPRA Paper 33613, University Library of Munich, Germany.
  7. Breitmoser, Yves, 2011. "Binomial menu auctions in government formation," MPRA Paper 28576, University Library of Munich, Germany.
  8. 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.
  9. Maria Montero & Juan Vidal-Puga, 2012. "A Violation of Monotonicity in a Noncooperative Setting," Discussion Papers 2012-04, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
  10. Breitmoser, Yves & Tan, Jonathan H.W., 2013. "Reference dependent altruism in demand bargaining," Journal of Economic Behavior & Organization, Elsevier, vol. 92(C), pages 127-140.
  11. Maria Montero & Juan Vidal-Puga, 2005. "Demand commitment in legislative bargaining," Game Theory and Information 0511005, EconWPA.
  12. Montero, Maria & Vidal-Puga, Juan J., 2011. "Demand bargaining and proportional payoffs in majority games," Games and Economic Behavior, Elsevier, vol. 71(2), pages 395-408, March.

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