Stability and Nash implementation in matching markets with couples
We consider two-sided matching markets with couples. First, we extend a result by Klaus and Klijn (2005, Theorem 3.3) and show that for any weakly responsive couples market there always exists a "double stable" matching, i.e., a matching that is stable for the couples market and for any associated singles market. Second, we show that for weakly responsive couples markets the associated stable correspondence is (Maskin) monotonic and Nash implementable. In contrast, the correspondence that assigns all double stable matchings is neither monotonic nor Nash implementable.
|Date of creation:||15 Aug 2011|
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- Roth,Alvin E. & Sotomayor,Marilda A. Oliveira, 1992.
Cambridge University Press, number 9780521437882, December.
- Roth, Alvin E. & Sotomayor, Marilda, 1992. "Two-sided matching," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 16, pages 485-541 Elsevier.
- Bettina Klaus & Flip Klijn, 2004.
"Paths to Stability for Matching Markets with Couples,"
UFAE and IAE Working Papers
604.04, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC), revised 01 Dec 2005.
- Klaus, Bettina & Klijn, Flip, 2007. "Paths to stability for matching markets with couples," Games and Economic Behavior, Elsevier, vol. 58(1), pages 154-171, January.
- Bettina Klaus & Flip Klijn, 2004. "Paths to Stability for Matching Markets with Couples," Working Papers 156, Barcelona Graduate School of Economics.
- Paul Milgrom, 2003.
"Matching with Contracts,"
03003, Stanford University, Department of Economics.
- Elliott Peranson & Alvin E. Roth, 1999.
"The Redesign of the Matching Market for American Physicians: Some Engineering Aspects of Economic Design,"
American Economic Review,
American Economic Association, vol. 89(4), pages 748-780, September.
- Alvin E. Roth & Elliott Peranson, 1999. "The Redesign of the Matching Market for American Physicians: Some Engineering Aspects of Economic Design," NBER Working Papers 6963, National Bureau of Economic Research, Inc.
- Tayfun Sönmez & Tarik Kara, 1997. "Implementation of college admission rules (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 9(2), pages 197-218.
- Haake,Claus-Jochen & Klaus,Bettina, 2005.
"Monotonicity and Nash Implementation in Matching Markets with Contracts,"
028, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
- Claus-Jochen Haake & Bettina Klaus, 2009. "Monotonicity and Nash implementation in matching markets with contracts," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 41(3), pages 393-410, December.
- Haake, Claus-Jochen & Klaus, Bettina, 2011. "Monotonicity and Nash implementation in matching markets with contracts," Center for Mathematical Economics Working Papers 372, Center for Mathematical Economics, Bielefeld University.
- Roth, Alvin E, 1984. "Stability and Polarization of Interests in Job Matching," Econometrica, Econometric Society, vol. 52(1), pages 47-57, January.
- 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.
- Kara, Tarik & Sonmez, Tayfun, 1996. "Nash Implementation of Matching Rules," Journal of Economic Theory, Elsevier, vol. 68(2), pages 425-439, February.
- William Thomson, 1996.
"Concepts Of Implementation,"
The Japanese Economic Review,
Japanese Economic Association, vol. 47(2), pages 133-143, 06.
- Matthew O. Jackson, 2001.
"A crash course in implementation theory,"
Social Choice and Welfare,
Springer;The Society for Social Choice and Welfare, vol. 18(4), pages 655-708.
- Moore, John & Repullo, Rafael, 1990. "Nash Implementation: A Full Characterization," Econometrica, Econometric Society, vol. 58(5), pages 1083-99, September.
- 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.
- Alkan, Ahmet & Gale, David, 2003. "Stable schedule matching under revealed preference," Journal of Economic Theory, Elsevier, vol. 112(2), pages 289-306, October.
- Eric Maskin & Tomas Sjostrom, 2001.
Economics Working Papers
0006, Institute for Advanced Study, School of Social Science.
- Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
- Bettina Klaus & Flip Klijn, 2004.
"Stable Matchings and Preferences of Couples,"
117, Barcelona Graduate School 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.
- Eric Maskin, 1999. "Nash Equilibrium and Welfare Optimality," Review of Economic Studies, Oxford University Press, vol. 66(1), pages 23-38.
- Sonmez, Tayfun, 1996.
"Implementation in generalized matching problems,"
Journal of Mathematical Economics,
Elsevier, vol. 26(4), pages 429-439.
- Yamato, Takehiko, 1992. "On nash implementation of social choice correspondences," Games and Economic Behavior, Elsevier, vol. 4(3), pages 484-492, July.
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