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Modelling Negotiated Decision Making: a Multilateral, Multiple Issues, Non-Cooperative Bargaining Model with Uncertainty

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  • Sgobbi, Alessandra
  • Carraro, Carlo
Abstract
The relevance of bargaining to everyday life can easily be ascertained, yet the study of any bargaining process is extremely hard, involving a multiplicity of questions and complex issues. The objective of this paper is to provide new insights on some dimensions of the bargaining process - asymmetries and uncertainties in particular - by using a non-cooperative game theory approach. We develop a computational model which simulates the process of negotiation among more than two players, who bargain over the sharing of more than one pie. Through numerically simulating several multiple issues negotiation games among multiple players, we identify the main features of players' optimal strategies and equilibrium agreements. As in most economic situations, uncertainty crucially affects also bargaining processes. Therefore, in our analysis, we introduce uncertainty over the size of the pies to be shared and assess the impacts on players' strategic behaviour. Our results confirm that uncertainty crucially affects players' behaviour and modifies the likelihood of a self-enforcing agreement to emerge. The model proposed here can have several applications, in particular in the field of natural resource management, where conflicts over how to share a resource of a finite size are increasing.

Suggested Citation

  • 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).
  • Handle: RePEc:ags:feemet:8224
    DOI: 10.22004/ag.econ.8224
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    References listed on IDEAS

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    1. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
    2. Carraro, Carlo & Siniscalco, Domenico, 1995. "R&D Cooperation and the Stability of International Environmental Agreements," CEPR Discussion Papers 1154, C.E.P.R. Discussion Papers.
    3. Merlo, Antonio, 1997. "Bargaining over Governments in a Stochastic Environment," Journal of Political Economy, University of Chicago Press, vol. 105(1), pages 101-131, February.
    4. Diermeier, Daniel & Eraslan, Hülya & Merlo, Antonio, 2007. "Bicameralism and Government Formation," Quarterly Journal of Political Science, now publishers, vol. 2(3), pages 227-252, August.
    5. Merlo, Antonio & Wilson, Charles A, 1995. "A Stochastic Model of Sequential Bargaining with Complete Information," Econometrica, Econometric Society, vol. 63(2), pages 371-399, March.
    6. 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.
    7. Lutz-Alexander Busch & Ignatius J. Horstmann, 1999. "Signaling via an agenda in multi-issue bargaining with incomplete information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 13(3), pages 561-575.
    8. Sophie Thoyer & Sylvie Morardet & Patrick Rio & Leo Simon & Rachael Goodhue & Gordon Rausser, 2001. "A Bargaining Model to Simulate Negotiations Between Water Users," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 4(2), pages 1-6.
    9. Ma, Ching-To Albert & Manove, Michael, 1993. "Bargaining with Deadlines and Imperfect Player Control," Econometrica, Econometric Society, vol. 61(6), pages 1313-1339, November.
    10. Manzini, Paola & Mariotti, Marco, 2003. "A bargaining model of voluntary environmental agreements," Journal of Public Economics, Elsevier, vol. 87(12), pages 2725-2736, December.
    11. Agnieszka Rusinowska & Harrie de Swart & Jan-Willem van der Rijt, 2005. "A new model of coalition formation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 24(1), pages 129-154, September.
    12. Chae, Suchan & Yang, Jeong-Ae, 1988. "The unique perfect equilibrium of an n-person bargaining game," Economics Letters, Elsevier, vol. 28(3), pages 221-223.
    13. Fershtman, Chaim, 1990. "The importance of the agenda in bargaining," Games and Economic Behavior, Elsevier, vol. 2(3), pages 224-238, September.
    14. In, Younghwan & Serrano, Roberto, 2003. "Agenda restrictions in multi-issue bargaining (II): unrestricted agendas," Economics Letters, Elsevier, vol. 79(3), pages 325-331, June.
    15. Carraro, Carlo & Marchiori, Carmen & Sgobbi, Alessandra, 2007. "Negotiating on water: insights from non-cooperative bargaining theory," Environment and Development Economics, Cambridge University Press, vol. 12(2), pages 329-349, April.
    16. Carlo Carraro & Carmen Marchiori & Alessandra Sgobbi, 2005. "Applications of Negotiation Theory to Water Issues," Working Papers 2005.65, Fondazione Eni Enrico Mattei.
    17. Manzini, Paola & Mariotti, Marco, 2005. "Alliances and negotiations," Journal of Economic Theory, Elsevier, vol. 121(1), pages 128-141, March.
    18. Inderst, Roman, 2000. "Multi-issue Bargaining with Endogenous Agenda," Games and Economic Behavior, Elsevier, vol. 30(1), pages 64-82, January.
    19. In, Younghwan & Serrano, Roberto, 2004. "Agenda restrictions in multi-issue bargaining," Journal of Economic Behavior & Organization, Elsevier, vol. 53(3), pages 385-399, March.
    20. Henk Folmer & Pierre Mouche & Shannon Ragland, 1993. "Interconnected games and international environmental problems," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 3(4), pages 313-335, August.
    21. Simon, Leo K. & Goodhue, Rachael E. & Rausser, Gordon C. & Thoyer, Sophie & Morardet, Sylvie & Rio, Patrick, 2007. "Structure and Power in Multilateral Negotiations: An Application to French Water Policy," Monographs, University of California, Davis, Giannini Foundation, number 37630, December.
    22. 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.
    23. Bac, Mehmet & Raff, Horst, 1996. "Issue-by-Issue Negotiations: The Role of Information and Time Preference," Games and Economic Behavior, Elsevier, vol. 13(1), pages 125-134, March.
    24. Eraslan, Hulya & Merlo, Antonio, 2002. "Majority Rule in a Stochastic Model of Bargaining," Journal of Economic Theory, Elsevier, vol. 103(1), pages 31-48, March.
    25. Gneezy, Uri & Haruvy, Ernan & Roth, Alvin E., 2003. "Bargaining under a deadline: evidence from the reverse ultimatum game," Games and Economic Behavior, Elsevier, vol. 45(2), pages 347-368, November.
    26. Chae Suchan & Yang Jeong-Ae, 1994. "An N-Person Pure Bargaining Game," Journal of Economic Theory, Elsevier, vol. 62(1), pages 86-102, February.
    27. Vijay Krishna & Roberto Serrano, 1996. "Multilateral Bargaining," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 63(1), pages 61-80.
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    Cited by:

    1. 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.

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    More about this item

    Keywords

    Risk and Uncertainty;

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

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