Matching with preferences over colleagues solves classical matching
AbstractIn this note, we demonstrate that the problem of "many-to-one matching with (strict) preferences over colleagues" is actually more difficult than the classical many-to-one matching problem, "matching without preferences over colleagues." We give an explicit reduction of any problem of the latter type to a problem of the former type. This construction leads to the first algorithm which finds all stable matchings in the setting of "matching without preferences over colleagues," for any set of preferences. Our construction directly extends to generalized matching settings.
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Bibliographic InfoArticle provided by Elsevier in its journal Games and Economic Behavior.
Volume (Year): 68 (2010)
Issue (Month): 2 (March)
Contact details of provider:
Web page: http://www.elsevier.com/locate/inca/622836
Many-to-one matching Stability Matching algorithms;
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- Echenique, Federico & Yenmez, Mehmet B., 2005.
"A Solution to Matching with Preferences over Colleagues,"
1226, California Institute of Technology, Division of the Humanities and Social Sciences.
- Echenique, Federico & Yenmez, M. Bumin, 2007. "A solution to matching with preferences over colleagues," Games and Economic Behavior, Elsevier, vol. 59(1), pages 46-71, April.
- Federico Echenique & Mehmet B. Yenmez, 2005. "A Solution to Matching with Preferences over Colleagues," Working Papers 2005.120, Fondazione Eni Enrico Mattei.
- Federico Echenique, 2005. "A Solution to Matching with Preferences over Colleagues," Game Theory and Information 0506005, EconWPA.
- Bettina Klaus & Flip Klijn, 2004.
"Median Stable Matching for College Admission,"
165, Barcelona Graduate School of Economics.
- Alvin Roth, 2008.
"Deferred acceptance algorithms: history, theory, practice, and open questions,"
International Journal of Game Theory,
Springer, vol. 36(3), pages 537-569, March.
- Alvin E. Roth, 2007. "Deferred Acceptance Algorithms: History, Theory, Practice, and Open Questions," NBER Working Papers 13225, National Bureau of Economic Research, Inc.
- Alvin E Roth, 2007. "Deferred Acceptance Algorithms: History, Theory, Practice, and Open Questions," Levine's Bibliography 843644000000000283, UCLA Department of Economics.
- Roth, Alvin, 2008. "Deferred Acceptance Algorithms: History, Theory, Practice, and Open Questions," Scholarly Articles 2579651, Harvard University Department of Economics.
- 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.
- Pablo Revilla, 2004.
"Many-to-one Matching When Colleagues Matter,"
Economic Working Papers at Centro de Estudios Andaluces
E2004/85, Centro de Estudios Andaluces.
- Clark Simon, 2006. "The Uniqueness of Stable Matchings," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 6(1), pages 1-28, December.
- Paul Milgrom, 2003.
"Matching with Contracts,"
03003, Stanford University, Department of Economics.
- 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.
- Dinko Dimitrov & Emiliya Lazarova, 2008. "Coalitional Matchings," Working Papers 2008.45, Fondazione Eni Enrico Mattei.
- Eeckhout, Jan, 2000. "On the uniqueness of stable marriage matchings," Economics Letters, Elsevier, vol. 69(1), pages 1-8, October.
- Adachi, Hiroyuki, 2000. "On a characterization of stable matchings," Economics Letters, Elsevier, vol. 68(1), pages 43-49, July.
- Dutta, Bhaskar & Masso, Jordi, 1997.
"Stability of Matchings When Individuals Have Preferences over Colleagues,"
Journal of Economic Theory,
Elsevier, vol. 75(2), pages 464-475, August.
- Dutta, B. & Masso, J., 1996. "Stability of Matchings when Individuals Have Preferences Over Colleagues," UFAE and IAE Working Papers 325.96, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- Martinez, Ruth & Masso, Jordi & Neme, Alejandro & Oviedo, Jorge, 2004. "An algorithm to compute the full set of many-to-many stable matchings," Mathematical Social Sciences, Elsevier, vol. 47(2), pages 187-210, March.
- repec:pdn:dispap:02 is not listed on IDEAS
- Ana Mauleon & Nils Roehl & Vincent Vannetelbosch, 2014.
"Constitutions and Social Networks,"
Working Papers CIE
74, University of Paderborn, CIE Center for International Economics.
- repec:pdn:wpaper:74 is not listed on IDEAS
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