Bargained stable allocations in assignment markets
AbstractFor each assignment market, an associated bargaining problem is defined and some bargaining solutions to this problem are analyzed. For a particular choice of the disagreement point, the Nash solution and the Kalai-Smorodinsky solution coincide and give the midpoint between the buyers-optimal core allocation and the sellers-optimal core allocation, and thus they belong to the core. Moreover, under the assumption that all agents in the market are active, the subset of core allocations that can be obtained as a Kalai-Smorodinsky solution, from some suitable disagreement point, is characterized as the set of stable allocations where each agent is paid at least half of his maximum core payoff. All allocations in this last set can also be obtained by a negotiation procedure a la Nash.
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 Barcelona Graduate School of Economics in its series Working Papers with number 153.
Date of creation: Dec 2004
Date of revision:
assignment game; core; bargaining problem; Nash solution; Kalai-Smorodinsky solution;
Find related papers by JEL classification:
- 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
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.:
- Carmen Herrero Blanco, 1993.
"Endogenous Reference Points And The Adjusted Proportional Solution For Bargaining Problems With Claims,"
Working Papers. Serie AD
1993-13, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
- Carmen Herrero, 1997. "Endogenous reference points and the adjusted proportional solution for bargaining problems with claims," Social Choice and Welfare, Springer, vol. 15(1), pages 113-119.
- Moldovanu, B, 1990. "Stable Bargained Equilibria for Assignment Games without Side Payments," International Journal of Game Theory, Springer, vol. 19(2), pages 171-90.
- Chun, Youngsub & Thomson, William, 1992.
"Bargaining problems with claims,"
Mathematical Social Sciences,
Elsevier, vol. 24(1), pages 19-33, August.
- Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
- Nunez, Marina & Rafels, Carles, 2003. "Characterization of the extreme core allocations of the assignment game," Games and Economic Behavior, Elsevier, vol. 44(2), pages 311-331, August.
- Crawford, Vincent P & Rochford, Sharon C, 1986. "Bargaining and Competition in Matching Markets," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 27(2), pages 329-48, June.
- Volij, Oscar & Dagan, Nir, 1993.
"The Bankruptcy Problem: A Cooperative Bargaining Approach,"
Staff General Research Papers
10571, Iowa State University, Department of Economics.
- Dagan, Nir & Volij, Oscar, 1993. "The bankruptcy problem: a cooperative bargaining approach," Mathematical Social Sciences, Elsevier, vol. 26(3), pages 287-297, November.
- Nir Dagan & Oscar Volij, 1993. "The Bankruptcy Problem: a Cooperative Bargaining Approach," Economic theory and game theory 001, Nir Dagan.
- Rochford, Sharon C., 1984. "Symmetrically pairwise-bargained allocations in an assignment market," Journal of Economic Theory, Elsevier, vol. 34(2), pages 262-281, December.
- Leonard, Herman B, 1983. "Elicitation of Honest Preferences for the Assignment of Individuals to Positions," Journal of Political Economy, University of Chicago Press, vol. 91(3), pages 461-79, June.
- Bennett, Elaine, 1988. "Consistent bargaining conjectures in marriage and matching," Journal of Economic Theory, Elsevier, vol. 45(2), pages 392-407, August.
- T. E. S. Raghavan & Tamás Solymosi, 2001. "Assignment games with stable core," International Journal of Game Theory, Springer, vol. 30(2), pages 177-185.
- Kamecke, U, 1989. "Non-cooperative Matching Games," International Journal of Game Theory, Springer, vol. 18(4), pages 423-31.
- Quint, Thomas, 1991. "Characterization of Cores of Assignment Games," International Journal of Game Theory, Springer, vol. 19(4), pages 413-20.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Bruno Guallar).
If references are entirely missing, you can add them using this form.