Implementations of the Nash solution based on its Walrasian characterization
AbstractThe present paper provides three different support results for the Nash bargaining solution of $n$-person bargaining games. First, for any bargaining game there is defined a non-cooperative game in strategic form, whose unique Nash equilibrium induces a payoff vector that coincides with the Nash solution of the bargaining game. Next this game is modified in such a way that the unique Nash equilibrium that supports the Nash solution is even in dominant strategies. After that an $n$-stage game in extensive form is presented whose unique subgame perfect equilibrium supports the Nash solution of the bargaining game. Finally, the support results are shown to induce implementation results in the sense of mechanism theory.
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.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Bibliographic InfoArticle provided by Springer in its journal Economic Theory.
Volume (Year): 16 (2000)
Issue (Month): 2 ()
Note: Received: October 3, 1999; revised version: October 26, 1999
Contact details of provider:
Web page: http://link.springer.de/link/service/journals/00199/index.htm
Find related papers by JEL classification:
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
- D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
- D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
- D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
You can help add them by filling out this form.
CitEc Project, subscribe to its RSS feed for this item.
- Trockel,W., 1999.
"Integrating the Nash program into mechanism theory,"
305, Bielefeld University, Center for Mathematical Economics.
- Walter Trockel, 2002. "Integrating the Nash program into mechanism theory," Review of Economic Design, Springer, vol. 7(1), pages 27-43.
- Walter Trockel, 1999. "Integrating the Nash Program into Mechanism Theory," UCLA Economics Working Papers 787, UCLA Department of Economics.
- Claus-Jochen Haake & Walter Trockel, 2007.
"On Maskin monotonicity of solution based social choice rules,"
393, Bielefeld University, Center for Mathematical Economics.
- Claus-Jochen Haake & Walter Trockel, 2010. "On Maskin monotonicity of solution based social choice rules," Review of Economic Design, Springer, vol. 14(1), pages 17-25, March.
- Walter Trockel, 2009.
"An exact non-cooperative support for the sequential Raiffa solution,"
426, Bielefeld University, Center for Mathematical Economics.
- Trockel, Walter, 2011. "An exact non-cooperative support for the sequential Raiffa solution," Journal of Mathematical Economics, Elsevier, vol. 47(1), pages 77-83, January.
- Roberto Serrano, 2004.
"Fifty Years of the Nash Program, 1953-2003,"
2004-20, Brown University, Department of Economics.
- Thorsten Upmann & Julia M�ller, 2013. "The Structure of Firm-Specific Labour Unions," Tinbergen Institute Discussion Papers 13-080/I, Tinbergen Institute.
- Sonja Brangewitz & Jan-Philip Gamp, 2011. "Inner Core, Asymmetric Nash Bargaining Solutions and Competitive Payoffs," Working Papers 453, Bielefeld University, Center for Mathematical Economics.
- Matthias Dahm & Nicolas Porteiro, 2005. "A Micro- Foundation for Non-Deterministic Contests of the Logit Form," Discussion Papers 1410, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Haake, Claus-Jochen, 2009. "Two support results for the Kalai-Smorodinsky solution in small object division markets," Mathematical Social Sciences, Elsevier, vol. 57(2), pages 177-187, March.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Guenther Eichhorn) or (Christopher F Baum).
If references are entirely missing, you can add them using this form.