A Theory of Negotiations and Formation of Coalitions
This paper proposes a new solution concept to three-player coalitional bargaining problems where the underlying economic opportunities are described by a partition function. This classic bargaining problem is modeled as a dynamic non-cooperative game in which players make conditional or unconditional offers, and coalitions continue to negotiate as long as there are gains from trade. The theory yields a unique stationary perfect equilibrium outcome-the negotiation value-and provide a unified framework that selects an economically intuitive solution and endogenous coalition structure. For such games as pure bargaining games the negotiation value coincides with the Nash bargaining solution, and for such games as zero-sum and majority voting games the negotiation value coincides with the Shapley value. However, a novel situation arises where the outcome is determined by pairwise sequential bargaining sessions in which a pair of players forms a natural match. In addition, another novel situation exists where the outcome is determined by one pivotal player bargaining unconditionally with the other players, and only the pairwise coalitions between the pivotal player and the other players can form.
|Date of creation:|
|Date of revision:|
|Contact details of provider:|| Postal: |
Phone: (215) 898-7616
Fax: (215) 573-8084
Web page: http://finance.wharton.upenn.edu/~rlwctr/
More information through EDIRC
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Gul, Faruk, 1989. "Bargaining Foundations of Shapley Value," Econometrica, Econometric Society, vol. 57(1), pages 81-95, January.
- Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-64, July.
- Bloch, Francis, 1996. "Sequential Formation of Coalitions in Games with Externalities and Fixed Payoff Division," Games and Economic Behavior, Elsevier, vol. 14(1), pages 90-123, May.
- Gomes, Armando & Hart, Sergiu & Mas-Colell, Andreu, 1999.
"Finite Horizon Bargaining and the Consistent Field,"
Games and Economic Behavior,
Elsevier, vol. 27(2), pages 204-228, May.
- Armando Gomes & Sergiu Hart & Andreu Mas-Colell, 1997. "Finite Horizon Bargaining and the Consistent Field," Game Theory and Information 9705003, EconWPA.
- Armando Gomes & Sergiu Hart & Andreu Mas-Colell, 1997. "Finite horizon bargaining and the consistent field," Economics Working Papers 241, Department of Economics and Business, Universitat Pompeu Fabra.
- Sergiu Hart & Andreu Mas-Colell, 1994.
"Bargaining and value,"
Economics Working Papers
114, Department of Economics and Business, Universitat Pompeu Fabra, revised Feb 1995.
- Maschler, Michael, 1992. "The bargaining set, kernel, and nucleolus," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 18, pages 591-667 Elsevier.
- Debraj Ray & Rajiv Vohra, 1996.
"A Theory of Endogenous Coalition Structure,"
0068, Boston University - Industry Studies Programme.
- Krishna, Vijay & Serrano, Roberto, 1996. "Multilateral Bargaining," Review of Economic Studies, Wiley Blackwell, vol. 63(1), pages 61-80, January.
- Martin J. Osborne & Ariel Rubinstein, 2005. "Bargaining and Markets," Levine's Bibliography 666156000000000515, UCLA Department of Economics.
- Bennett, Elaine, 1997. "Multilateral Bargaining Problems," Games and Economic Behavior, Elsevier, vol. 19(2), pages 151-179, May.
- Ray, D. & Vohra, R., 1993.
"Equilibrium Binding Agreements,"
21, Boston University - Department of Economics.
- Moldovanu, Benny, 1992. "Coalition-proof nash equilibria and the core in three-player games," Games and Economic Behavior, Elsevier, vol. 4(4), pages 565-581, October.
- Oliver Hart & John Moore, 1988.
"Property Rights and the Nature of the Firm,"
495, Massachusetts Institute of Technology (MIT), Department of Economics.
- Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
- Binmore, Ken & Osborne, Martin J. & Rubinstein, Ariel, 1992.
"Noncooperative models of bargaining,"
Handbook of Game Theory with Economic Applications,
in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 7, pages 179-225
- Ariel Rubinstein, 2010.
"Perfect Equilibrium in a Bargaining Model,"
Levine's Working Paper Archive
252, David K. Levine.
- Nash, John, 1953. "Two-Person Cooperative Games," Econometrica, Econometric Society, vol. 21(1), pages 128-140, April.
- Chatterjee, Kalyan & Bhaskar Dutta & Debraj Ray & Kunal Sengupta, 1993. "A Noncooperative Theory of Coalitional Bargaining," Review of Economic Studies, Wiley Blackwell, vol. 60(2), pages 463-77, April.
- Sutton, John, 1986. "Non-cooperative Bargaining Theory: An Introduction," Review of Economic Studies, Wiley Blackwell, vol. 53(5), pages 709-24, October.
When requesting a correction, please mention this item's handle: RePEc:fth:pennfi:21-99. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Thomas Krichel)
If references are entirely missing, you can add them using this form.