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Noncooperative Model of Collective Decision Making: A Multilateral Bargaining Approach

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  • Rausser, Gordon C.
  • Simon, L.

Abstract

This paper proposes a noncooperative model of multilateral bargaining. The model can be viewed as an extension of the famous Stahl-Rubinstein bargaining game. Two players take turns proposing a division of a "pie." After one player has proposed a division, the other can accept or reject the proposal. If the proposal is accepted, the game ends and the division is adopted; if it is rejected, the second player then makes a proposal, which the first player then accepts or rejects. And so on. In Stahl's formulation, the game continues for a finite number of rounds; in Rubinstein's extension, the number of rounds is infinite. We propose a generalization of this model to incorporate multiple players and multidimensional issue spaces. We consider a sequence of games with infinite bargaining horizons, and study the limit points of the equilibrium outcomes as the horizon is extended without bound. A novel feature of our model is that the proposer is chosen randomly "by nature" in each round or bargaining, according to a prespecified vector of strictly positive "access probabilities."
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Suggested Citation

  • Rausser, Gordon C. & Simon, L., 1990. "Noncooperative Model of Collective Decision Making: A Multilateral Bargaining Approach," Staff General Research Papers Archive 819, Iowa State University, Department of Economics.
    • Handle: RePEc:isu:genres:819
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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. 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.
    3. Eraslan, Hülya & McLennan, Andrew, 2013. "Uniqueness of stationary equilibrium payoffs in coalitional bargaining," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2195-2222.
    4. 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.
    5. 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.
    6. 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.
    7. Sgobbi, Alessandra & Carraro, Carlo, 2007. "Modelling Negotiated Decision Making: a Multilateral, Multiple Issues, Non-Cooperative Bargaining Model with Uncertainty," Economic Theory and Applications Working Papers 8224, Fondazione Eni Enrico Mattei (FEEM).
    8. Simon, Leo K. & Thoyer, Sophie & Morardet, Sylvie & Goodhue, Rachael E. & Rio, Patrick & Rausser, Gordon C., 2003. "Structure and bargaining power in multilateral negotiations: Application to water management policies in France," 2003 Conference (47th), February 12-14, 2003, Fremantle, Australia 58258, Australian Agricultural and Resource Economics Society.
    9. Nicolas Quérou & Patrick Rio & Mabel Tidball, 2007. "Multi-Party Negotiation When Agents Have Subjective Estimates of Bargaining Powers," Group Decision and Negotiation, Springer, vol. 16(5), pages 417-436, September.
    10. 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, Boston, Massachusetts 235571, Agricultural and Applied Economics Association.
    11. 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.

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