Stability, efficiency and monotonicity in two-sided matching
Abstractwe propose a fairness property called P-monotonicity that we would like a matching mechanism to satisfy. We show that it is impossible to have a mechanism which is both stable and P- monotonic. Moreover, we show that it is impossible to have a mechanism which is both efficient and P-monotonic.
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Bibliographic InfoPaper provided by University Library of Munich, Germany in its series MPRA Paper with number 37215.
Date of creation: 09 Mar 2012
Date of revision:
Stability; Efficiency; Monotonicity; Two-Sided Matching;
Find related papers by JEL classification:
- C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
This paper has been announced in the following NEP Reports:
- NEP-ALL-2012-03-28 (All new papers)
- NEP-GTH-2012-03-28 (Game Theory)
- NEP-NET-2012-03-28 (Network Economics)
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- Alvin E. Roth, 2007.
"Deferred Acceptance Algorithms: History, Theory, Practice, and Open Questions,"
NBER Working Papers
13225, National Bureau of Economic Research, Inc.
- 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.
- Roth, Alvin, 2008. "Deferred Acceptance Algorithms: History, Theory, Practice, and Open Questions," Scholarly Articles 2579651, Harvard University Department of Economics.
- Alvin E Roth, 2007. "Deferred Acceptance Algorithms: History, Theory, Practice, and Open Questions," Levine's Bibliography 843644000000000283, UCLA Department of Economics.
- Atila Abdulkadiroğlu & Parag A. Pathak & Alvin E. Roth, 2005.
"The New York City High School Match,"
American Economic Review,
American Economic Association, vol. 95(2), pages 364-367, May.
- Alcalde, Jose & Barbera, Salvador, 1994.
"Top Dominance and the Possibility of Strategy-Proof Stable Solutions to Matching Problems,"
Springer, vol. 4(3), pages 417-35, May.
- Alcalde, J. & Barberà, S., 1992. "Top Dominance and the Possibility of Strategy-Proof Stable Solutions to Matching Problems," UFAE and IAE Working Papers 196.92, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- Atila Abdulkadiroglu & Tayfun Sönmez, 2003.
"School Choice: A Mechanism Design Approach,"
American Economic Review,
American Economic Association, vol. 93(3), pages 729-747, June.
- Sonmez, T., 1995.
"Strategy-Proofness in Many-To-One Matching Problems,"
95-01, Michigan - Center for Research on Economic & Social Theory.
- Tayfun Sönmez, 1994. "Strategy-proofness in many-to-one matching problems," Review of Economic Design, Springer, vol. 1(1), pages 365-380, December.
- Balinski, Michel & Sonmez, Tayfun, 1999. "A Tale of Two Mechanisms: Student Placement," Journal of Economic Theory, Elsevier, vol. 84(1), pages 73-94, January.
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