Coalitional Bargaining Equilibria
AbstractThis paper takes up the foundational issue of existence of stationary subgame perfect equi- libria in a general class of coalitional bargaining games that includes many known bargaining models and models of coalition formation. General sufficient conditions for existence of equilib- ria are currently lacking in many interesting environments: bargaining models with non-concave stage utility functions, models with a Pareto optimal status quo alternative and heterogeneous discount factors, and models of coalition formation in public good economies with consumption lower bounds. This paper establishes existence of stationary equilibrium under compactness and continuity conditions, without the structure of convexity or comprehensiveness used in the extant literature. The proof requires a precise selection of voting equilibria following different proposals. The result is applied to obtain equilibria in models of bargaining over taxes, coalition formation in NTU environments, and collective dynamic programming problems.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by University of Rochester - Wallis Institute of Political Economy in its series Wallis Working Papers with number WP62.
Length: 33 pages
Date of creation: May 2011
Date of revision:
Contact details of provider:
Postal: University of Rochester, Wallis Institute, Harkness 109B Rochester, New York 14627 U.S.A.
This paper has been announced in the following NEP Reports:
- NEP-ALL-2011-08-29 (All new papers)
- NEP-CDM-2011-08-29 (Collective Decision-Making)
- NEP-GTH-2011-08-29 (Game Theory)
- NEP-MIC-2011-08-29 (Microeconomics)
- NEP-NET-2011-08-29 (Network Economics)
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.:
- Kalandrakis, Tasos, 2004. "Equilibria in sequential bargaining games as solutions to systems of equations," Economics Letters, Elsevier, vol. 84(3), pages 407-411, September.
- Okada, Akira, 1996. "A Noncooperative Coalitional Bargaining Game with Random Proposers," Games and Economic Behavior, Elsevier, vol. 16(1), pages 97-108, September.
- Konstantin Sonin & Georgy Egorov & Daron Acemoglu, 2008.
"Dynamics and Stability of Constitutions, Coalitions and Clubs,"
2008 Meeting Papers
314, Society for Economic Dynamics.
- Daron Acemoglu & Georgy Egorov & Konstantin Sonin, 2012. "Dynamics and Stability of Constitutions, Coalitions, and Clubs," American Economic Review, American Economic Association, vol. 102(4), pages 1446-76, June.
- Daron Acemoglu & Georgy Egorov & Konstantin Sonin, 2008. "Dynamics and Stability of Constitutions, Coalitions, and Clubs," NBER Working Papers 14239, National Bureau of Economic Research, Inc.
- Roberto Serrano, 2007. "Nash program," Working Papers 2007-05, Instituto Madrileño de Estudios Avanzados (IMDEA) Ciencias Sociales.
- Borgers, Tilman, 1989. "Perfect equilibrium histories of finite and infinite horizon games," Journal of Economic Theory, Elsevier, vol. 47(1), pages 218-227, February.
- Hellwig, Martin & Leininger, Wolfgang & Reny, Philip J. & Robson, Arthur J., 1990. "Subgame perfect equilibrium in continuous games of perfect information: An elementary approach to existence and approximation by discrete games," Journal of Economic Theory, Elsevier, vol. 52(2), pages 406-422, December.
- Borgers, Tilman, 1991. "Upper hemicontinuity of the correspondence of subgame-perfect equilibrium outcomes," Journal of Mathematical Economics, Elsevier, vol. 20(1), pages 89-106.
- Ray, Debraj, 2007. "A Game-Theoretic Perspective on Coalition Formation," OUP Catalogue, Oxford University Press, number 9780199207954.
- 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.
- Siddhartha Bandyopadhyay & Kalyan Chatterjee, 2006. "Coalition Theory and its Applications: A Survey," Economic Journal, Royal Economic Society, vol. 116(509), pages F136-F155, 02.
- Konishi, Hideo & Ray, Debraj, 2003.
"Coalition formation as a dynamic process,"
Journal of Economic Theory,
Elsevier, vol. 110(1), pages 1-41, May.
- Tasos Kalandrakis, 2010. "Minimum winning coalitions and endogenous status quo," International Journal of Game Theory, Springer, vol. 39(4), pages 617-643, October.
- Kalandrakis, Anastassios, 2004. "A three-player dynamic majoritarian bargaining game," Journal of Economic Theory, Elsevier, vol. 116(2), pages 294-322, June.
- Banks, Jeffrey S. & Duggan, John, 2006. "A General Bargaining Model of Legislative Policy-making," International Quarterly Journal of Political Science, now publishers, vol. 1(1), pages 49-85, January.
- Harris, Christopher & Reny, Philip & Robson, Arthur, 1995. "The Existence of Subgame-Perfect Equilibrium in Continuous Games with Almost Perfect Information: A Case for Public Randomization," Econometrica, Econometric Society, vol. 63(3), pages 507-44, May.
- Herings P. Jean-Jacques & Britz Volker & Predtetchinski Arkadi, 2012. "On the Convergence to Nash Bargaining Solution for Endogenous Bargaining Protocols," Research Memorandum 030, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Gabriel Mihalache).
If references are entirely missing, you can add them using this form.