Punishment-Dominance Condition on Stable Two-Sided Matching Algorithms
In this article, we consider a many-to-one two-sided matching market and define a canonical strategic form game, in which any worker applies to the top k firms and is assigned to the most preferred firm that does not reject him/her. Under the substitute property of firms' preferences, the game satisfies the punishment-dominance condition. The deferred-acceptance algorithm by Gale and Shapley (Amer. Math. Monthly 69: 1962), which finds the maximum and minimum of stable matchings, is described as an instance of the algorithm by Masuzawa (Int. Jour. Game Theory 38: 2008), which determines the α-cores of the strategic form games with the punishment-dominance condition.
|Date of creation:||Oct 2012|
|Contact details of provider:|| Postal: 2-15-45, Mita, Minato-ku, Tokyo 108-8345|
Web page: http://ies.keio.ac.jp/old_project/old/gcoe-econbus/
More information through EDIRC
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.:
- John William Hatfield & Paul R. Milgrom, 2005.
"Matching with Contracts,"
American Economic Review,
American Economic Association, vol. 95(4), pages 913-935, September.
- Roth, Alvin E., 1984.
"The Evolution of the Labor Market for Medical Interns and Residents: A Case Study in Game Theory,"
29410143, Harvard University Department of Economics.
- Roth, Alvin E, 1984. "The Evolution of the Labor Market for Medical Interns and Residents: A Case Study in Game Theory," Journal of Political Economy, University of Chicago Press, vol. 92(6), pages 991-1016, December.
- Kelso, Alexander S, Jr & Crawford, Vincent P, 1982. "Job Matching, Coalition Formation, and Gross Substitutes," Econometrica, Econometric Society, vol. 50(6), pages 1483-1504, November.
- Hendrickx, R.L.P. & Borm, P.E.M. & Timmer, J.B., 2002.
"A note on NTU-convexity,"
Other publications TiSEM
c8e46ca9-db92-4579-b793-4, Tilburg University, School of Economics and Management.
When requesting a correction, please mention this item's handle: RePEc:kei:dpaper:2012-018. 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: (Global COE Program Office)
If references are entirely missing, you can add them using this form.