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Bargaining with commitments

Author

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  • Juan Vidal-Puga

    (University of Vigo)

Abstract

We study a simple bargaining mechanism in which each player puts a prize to his resources before leaving the game. The only expected final equilibrium payoff can be defined by means of selective marginal contributions vectors, and it coincides with the Shapley value for convex games. Moreover, for 3-player games the selective marginal contributions vectors determine the core when it is nonempty.

Suggested Citation

  • Juan Vidal-Puga, 2003. "Bargaining with commitments," Game Theory and Information 0306002, University Library of Munich, Germany.
  • Handle: RePEc:wpa:wuwpga:0306002
    Note: Type of Document - Tex; prepared on IBM PC - PC-TEX; to print on HP; pages: 19 ; figures: none
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    References listed on IDEAS

    as
    1. Vidal-Puga, Juan & Bergantinos, Gustavo, 2003. "An implementation of the Owen value," Games and Economic Behavior, Elsevier, vol. 44(2), pages 412-427, August.
    2. 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 825-851, November.
    3. Muthoo, Abhinay, 1992. "Revocable Commitment and Sequential Bargaining," Economic Journal, Royal Economic Society, vol. 102(411), pages 378-387, March.
    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. van Damme, E.E.C. & Bennet, E., 1991. "Demand commitment bargaining : The case of apex games," Other publications TiSEM a2976a1b-d490-459d-8d59-a, Tilburg University, School of Economics and Management.
    6. Winter, Eyal, 1994. "The Demand Commitment Bargaining and Snowballing Cooperation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(2), pages 255-273, March.
    7. 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 763-774, November.
    8. Bester, Helmut & Sakovics, Jozsef, 2001. "Delegated bargaining and renegotiation," Journal of Economic Behavior & Organization, Elsevier, vol. 45(4), pages 459-473, August.
    9. 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.
    10. (*), Y. Stephen Chiu & Ani Dasgupta, 1998. "On implementation via demand commitment games," International Journal of Game Theory, Springer;Game Theory Society, vol. 27(2), pages 161-189.
    11. Muthoo, Abhinay, 1996. "A Bargaining Model Based on the Commitment Tactic," Journal of Economic Theory, Elsevier, vol. 69(1), pages 134-152, April.
    12. Harold Houba & Wilko Bolt, 1997. "Strategic bargaining in the variable threat game," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(1), pages 57-77.
    13. Hart, Sergiu & Mas-Colell, Andreu, 1996. "Bargaining and Value," Econometrica, Econometric Society, vol. 64(2), pages 357-380, March.
    14. Bennett, E. & Van Damme, E., 1990. "Demand Commitment Bargaining: -The Case Of Apex Games," Papers 9062, Tilburg - Center for Economic Research.
    15. Crawford, Vincent P, 1982. "A Theory of Disagreement in Bargaining," Econometrica, Econometric Society, vol. 50(3), pages 607-637, May.
    16. Corts, Kenneth S. & Neher, Darwin V., 2003. "Credible delegation," European Economic Review, Elsevier, vol. 47(3), pages 395-407, June.
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    Citations

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    Cited by:

    1. Chen, Ying & Eraslan, Hulya, 2014. "Rhetoric in legislative bargaining with asymmetric information," Theoretical Economics, Econometric Society, vol. 9(2), May.
    2. Macho-Stadler, Ines & Perez-Castrillo, David & Wettstein, David, 2006. "Efficient bidding with externalities," Games and Economic Behavior, Elsevier, vol. 57(2), pages 304-320, November.
    3. 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.
    4. 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.
    5. Roberto Serrano, 2005. "Fifty years of the Nash program, 1953-2003," Investigaciones Economicas, Fundación SEPI, vol. 29(2), pages 219-258, May.
    6. Yuan Ju & David Wettstein, 2009. "Implementing cooperative solution concepts: a generalized bidding approach," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 39(2), pages 307-330, May.
    7. repec:eee:jetheo:v:169:y:2017:i:c:p:425-452 is not listed on IDEAS
    8. Ying Chen, 2010. "Rhetoric in Legislative Bargaining with Asymmetric Information," 2010 Meeting Papers 1159, Society for Economic Dynamics.
    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. Montero, Maria & Vidal-Puga, Juan J., 2007. "Demand Commitment in Legislative Bargaining," American Political Science Review, Cambridge University Press, vol. 101(04), pages 847-850, November.
    11. Breitmoser, Yves, 2011. "Binomial menu auctions in government formation," MPRA Paper 28576, University Library of Munich, Germany.
    12. Christian Trudeau & Juan Vidal-Puga, 2017. "Clique games: a family of games with coincidence between the nucleolus and the Shapley value," Working Papers 1705, University of Windsor, Department of Economics.
    13. Trudeau, Christian & Vidal-Puga, Juan, 2017. "On the set of extreme core allocations for minimal cost spanning tree problems," Journal of Economic Theory, Elsevier, vol. 169(C), pages 425-452.
    14. Yves Breitmoser, 2009. "Demand commitments in majority bargaining or how formateurs get their way," International Journal of Game Theory, Springer;Game Theory Society, vol. 38(2), pages 183-191, June.
    15. Breitmoser, Yves & Tan, Jonathan H.W., 2011. "Ultimata bargaining: generosity without social motives," MPRA Paper 33613, University Library of Munich, Germany.

    More about this item

    Keywords

    demand commitment game bargaining;

    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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