Matching Markets under (In)complete Information
We are the first to introduce incomplete information to centralized many-to-one matching markets such as those to entry-level labor markets or college admissions. This is important because in real life markets (i) any agent is uncertain about the other agents' true preferences and (ii) most entry-level matching is many-to-one (and not one-to-one). We show that for stable (matching) mechanisms there is a strong and surprising link between Nash equilibria under complete information and Bayesian Nash equilibria under incomplete information. That is,given a common belief, a strategy profile is a Bayesian Nash equilibrium under incomplete information in a stable mechanism if and only if, for any true profile in the support of the common belief, the submitted profile is a Nash equilibrium under complete information at the true profile in the direct preference revelation game induced by the stable mechanism. This result may help to explain the success of stable mechanisms in these markets.
|Date of creation:||2007|
|Date of revision:|
|Contact details of provider:|| Postal: |
Phone: (514) 343-6540
Fax: (514) 343-5831
Web page: http://www.sceco.umontreal.ca
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.:
- Roth, Alvin E., 1985. "The college admissions problem is not equivalent to the marriage problem," Journal of Economic Theory, Elsevier, vol. 36(2), pages 277-288, August.
- 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.
- Pathak, Parag A. & Abdulkadiroglu, Atila & Roth, Alvin, 2005.
"The New York City High School Match,"
2562765, Harvard University Department of Economics.
- Dipjyoti Majumdar, 2003.
"Ordinally Bayesian Incentive Compatible Stable Matchings,"
05001, Concordia University, Department of Economics.
- Dipjyoti Majumdar, 2003. "Ordinally Bayesian Incentive Compatible Stable Matching," Working Papers hal-00242988, HAL.
- Ehlers, Lars & Masso, Jordi, 2007. "Incomplete information and singleton cores in matching markets," Journal of Economic Theory, Elsevier, vol. 136(1), pages 587-600, September.
- Muriel Niederle & Alvin E. Roth, 2003.
"Unraveling Reduces Mobility in a Labor Market: Gastroenterology with and without a Centralized Match,"
Journal of Political Economy,
University of Chicago Press, vol. 111(6), pages 1342-1352, December.
- Muriel Niederle & Alvin E Roth, 2003. "Unraveling Reduces Mobility in a Labor Market: Gastroenterology with and without a Centralized Match," Levine's Working Paper Archive 506439000000000428, David K. Levine.
- Chen, Yan & Sonmez, Tayfun, 2006.
"School choice: an experimental study,"
Journal of Economic Theory,
Elsevier, vol. 127(1), pages 202-231, March.
- Crawford, Vincent P., 1991. "Comparative statics in matching markets," Journal of Economic Theory, Elsevier, vol. 54(2), pages 389-400, August.
- Sonmez, Tayfun, 1997. "Games of Manipulation in Marriage Problems," Games and Economic Behavior, Elsevier, vol. 20(2), pages 169-176, August.
- Alcalde, Jose, 1996.
"Implementation of Stable Solutions to Marriage Problems,"
Journal of Economic Theory,
Elsevier, vol. 69(1), pages 240-254, April.
- José Alcalde, 1995. "Implementation of Stable Solutions to Marriage Problems," Working Papers. Serie AD 1995-05, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
- EHLERS, Lars, 2003.
"In Search of Advice for Physicians in Entry-Level Medical Markets,"
Cahiers de recherche
2003-15, Universite de Montreal, Departement de sciences economiques.
- EHLERS, Lars, 2003. "In Search of Advice for Physicians in Entry-Level Medical Markets," Cahiers de recherche 13-2003, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
- Antonio Romero-Medina, 1998. "Implementation of stable solutions in a restricted matching market," Review of Economic Design, Springer, vol. 3(2), pages 137-147.
- Shin, Sungwhee & Suh, Sang-Chul, 1996. "A mechanism implementing the stable rule in marriage problems," Economics Letters, Elsevier, vol. 51(2), pages 185-189, May.
- Roth, Alvin E., 1984. "Misrepresentation and stability in the marriage problem," Journal of Economic Theory, Elsevier, vol. 34(2), pages 383-387, December.
- Atila Abdulkadiroglu & Tayfun Sönmez, 2003.
"School Choice: A Mechanism Design Approach,"
American Economic Review,
American Economic Association, vol. 93(3), pages 729-747, June.
- Dipjyoti Majumdar & Arunava Sen, 2004. "Ordinally Bayesian Incentive Compatible Voting Rules," Econometrica, Econometric Society, vol. 72(2), pages 523-540, 03.
When requesting a correction, please mention this item's handle: RePEc:mtl:montde:2007-01. 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: (Sharon BREWER)
If references are entirely missing, you can add them using this form.