Matching with Incomplete Information
AbstractA large literature uses matching models to analyze markets with two-sided heterogeneity, studying problems such as the matching of students to schools, residents to hospitals, husbands to wives, and workers to firms. The analysis typically assumes that the agents have complete information, and examines core outcomes. We formulate a notion of stable outcomes in matching problems with one-sided asymmetric information. The key conceptual problem is to formulate a notion of a blocking pair that takes account of the inferences that the uninformed agent might make from the hypothesis that the current allocation is stable. We show that the set of stable outcomes is nonempty in incomplete information environments, and is a superset of the set of complete-information stable outcomes. We provide sufficient conditions for incomplete-information stable matchings to be efficient.
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 Penn Institute for Economic Research, Department of Economics, University of Pennsylvania in its series PIER Working Paper Archive with number 12-032.
Length: 43 pages
Date of creation: 26 Aug 2012
Date of revision:
Matching; Stability; Stable outcome; Incomplete information; Core;
Other versions of this item:
- Quingmin Liu & George J. Mailath & Andrew Postlewaite & Larry Samuelson, 2012. "Matching with Incomplete Information," Cowles Foundation Discussion Papers 1870, Cowles Foundation for Research in Economics, Yale University.
- Qingmin Liu & George J. Mailath & Andrew Postlewaite & Larry Samuelson, 2012. "Matching with Incomplete Information," Levine's Working Paper Archive 786969000000000551, David K. Levine.
- 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
- D5 - Microeconomics - - General Equilibrium and Disequilibrium
- D - Microeconomics
This paper has been announced in the following NEP Reports:
- NEP-ALL-2012-09-09 (All new papers)
- NEP-CTA-2012-09-09 (Contract Theory & Applications)
- NEP-GTH-2012-09-09 (Game 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.:
- Hoppe, Heidrun C. & Moldovanu, Benny & Sela, Aner, 2006.
"The Theory of Assortative Matching Based on Costly Signals,"
CEPR Discussion Papers
5543, C.E.P.R. Discussion Papers.
- Heidrun C. Hoppe & Benny Moldovanu & Aner Sela, 2009. "The Theory of Assortative Matching Based on Costly Signals," Review of Economic Studies, Oxford University Press, vol. 76(1), pages 253-281.
- Hoppe, Heidrun C. & Moldovanu, Benny & Sela, Aner, 2005. "The Theory of Assortative Matching Based on Costly Signals," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 85, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
- 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.
- Chakraborty, Archishman & Citanna, Alessandro & Ostrovsky, Michael, 2010. "Two-sided matching with interdependent values," Journal of Economic Theory, Elsevier, vol. 145(1), pages 85-105, January.
- Stephan Lauermann & Georg Nöldeke, 2012. "Stable Marriages and Search Frictions," Working papers 2012/10, Faculty of Business and Economics - University of Basel.
- Benjamin Edelman & Michael Ostrovsky & Michael Schwarz, 2007.
"Internet Advertising and the Generalized Second-Price Auction: Selling Billions of Dollars Worth of Keywords,"
American Economic Review,
American Economic Association, vol. 97(1), pages 242-259, March.
- Benjamin Edelman & Michael Ostrovsky & Michael Schwarz, 2005. "Internet Advertising and the Generalized Second Price Auction: Selling Billions of Dollars Worth of Keywords," NBER Working Papers 11765, National Bureau of Economic Research, Inc.
- Dutta, Bhaskar & Vohra, Rajiv, 2005.
"Incomplete information, credibility and the core,"
Mathematical Social Sciences,
Elsevier, vol. 50(2), pages 148-165, September.
- Rajiv Vohra & Bhaskar Dutta, 2003. "Incomplete Information, Credibility and the Core," Working Papers 2003-21, Brown University, Department of Economics.
- Bhaskar Dutta & Rajiv Vohra, 2001. "Incomplete Information, Credibility and the Core," Working Papers 2001-02, Brown University, Department of Economics.
- repec:bla:restud:v:76:y:2009:i:1:p:253-281 is not listed on IDEAS
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Dolly Guarini).
If references are entirely missing, you can add them using this form.