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A noncooperative model of collective decision making: a multilateral bargaining approach


  • Rausser, Gordon C.
  • Simon, Leo K.


This paper extends the Stahl-Rubinstein model of bilateral bargaining to incorporate many players and multidimensional issue spaces. A central feature of our framework is that in each round of negotiations, a proposer is selected randomly. Our bargaining model consists of a sequence of finite-horizon games, in which the horizon increases without bound. A solution to our model is a limit of equilibrium outcomes for the finite-horizon games. A necessary condition for existence of a deterministic solution is that the limit outcome belongs to the core of the underlying bargaining problem. Solutions, if they exist, are generically unique. Two sets of sufficiency conditions for existence are presented. The paper concludes with examples and applications. In particular, we consider bipolar negotiations between two factions, and show that there is a positive relationship between the cohesiveness of one faction relative to the other and its effectiveness in securing the common goals to its members.

Suggested Citation

  • Rausser, Gordon C. & Simon, Leo K., 1992. "A noncooperative model of collective decision making: a multilateral bargaining approach," Department of Agricultural & Resource Economics, UC Berkeley, Working Paper Series qt8ch813x0, Department of Agricultural & Resource Economics, UC Berkeley.
  • Handle: RePEc:cdl:agrebk:qt8ch813x0

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    References listed on IDEAS

    1. Fama, Eugene F & Jensen, Michael C, 1983. "Agency Problems and Residual Claims," Journal of Law and Economics, University of Chicago Press, vol. 26(2), pages 327-349, June.
    2. Kislev, Yoav & Lerman, Zvi & Zusman, Pinhas, 1989. "Credit cooperatives in Israeli agriculture," Policy Research Working Paper Series 156, The World Bank.
    3. Appelbaum, Elie & Katz, Eliakim, 1987. "Seeking Rents by Setting Rents: The Political Economy of Rent Seeking," Economic Journal, Royal Economic Society, vol. 97(387), pages 685-699, September.
    4. Fama, Eugene F & Jensen, Michael C, 1983. "Separation of Ownership and Control," Journal of Law and Economics, University of Chicago Press, vol. 26(2), pages 301-325, June.
    5. Stiglitz, Joseph E & Weiss, Andrew, 1981. "Credit Rationing in Markets with Imperfect Information," American Economic Review, American Economic Association, vol. 71(3), pages 393-410, June.
    6. Zusman, Pinhas, 1976. "The Incorporation and Measurement of Social Power in Economic Models," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 17(2), pages 447-462, June.
    7. Eggertsson,Thrainn, 1990. "Economic Behavior and Institutions," Cambridge Books, Cambridge University Press, number 9780521348911, March.
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    Cited by:

    1. Carlo Carraro & Carmen Marchiori & Alessandra Sgobbi, 2005. "Applications of Negotiation Theory to Water Issues," Working Papers 2005.65, Fondazione Eni Enrico Mattei.
    2. repec:wsi:igtrxx:v:10:y:2008:i:03:n:s0219198908001935 is not listed on IDEAS
    3. Adams, Gregory & Rausser, Gordon & Simon, Leo, 1996. "Modelling multilateral negotiations: An application to California water policy," Journal of Economic Behavior & Organization, Elsevier, vol. 30(1), pages 97-111, July.
    4. Eraslan, Hülya & McLennan, Andrew, 2013. "Uniqueness of stationary equilibrium payoffs in coalitional bargaining," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2195-2222.
    5. Sgobbi, Alessandra & Carraro, Carlo, 2011. "A Stochastic Multiple Players Multi-Issues Bargaining Model for the Piave River Basin," Strategic Behavior and the Environment, now publishers, vol. 1(2), pages 119-150, April.
    6. Harold Houba, 2008. "Computing Alternating Offers And Water Prices In Bilateral River Basin Management," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 10(03), pages 257-278.
    7. Horowitz, John K. & Just, Richard E., 1995. "Political coalition breaking and sustainability of policy reform," Journal of Development Economics, Elsevier, vol. 47(2), pages 271-286, August.
    8. Alejandro Caparrós, 2016. "Bargaining and International Environmental Agreements," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 65(1), pages 5-31, September.
    9. Tyagi, Ashish & Shortle, James S., 2016. "Modeling Endogenous Change in Water Allocation Mechanisms: A Non-Cooperative Bargaining Approach," 2016 Annual Meeting, July 31-August 2, 2016, Boston, Massachusetts 235571, Agricultural and Applied Economics Association.
    10. Carraro, Carlo & Sgobbi, Alessandra, 2007. "Modelling Negotiated Decision Making: A Multilateral, Multiple Issues, Non-Cooperative Bargaining Model with Uncertainty," CEPR Discussion Papers 6424, C.E.P.R. Discussion Papers.


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