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Abstract

We give a simple and concise proof that so-called generalized median stable matchings are well-defined stable matchings for college admissions problems. Furthermore, we discuss the fairness properties of median stable matchings and conclude with two illustrative examples of college admissions markets, the lattices of stable matchings, and the corresponding generalized median stable matchings.

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Bibliographic Info

Paper provided by Maastricht University in its series Open Access publications from Maastricht University with number urn:nbn:nl:ui:27-20032.

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Date of creation: 2006
Date of revision:
Publication status: Published in International journal of game theory (2006) v.34, p.1-11
Handle: RePEc:ner:maastr:urn:nbn:nl:ui:27-20032

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Web page: http://www.maastrichtuniversity.nl/web/Home.htm

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Find related papers by JEL classification:

• C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
• D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

References

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1. Bettina Klaus & Flip Klijn, 2003. "Procedurally Fair and Stable Matching," Working Papers 36, Barcelona Graduate School of Economics.
   
   • Bettina Klaus & Flip Klijn, 2006. "Procedurally fair and stable matching," Economic Theory, Springer, vol. 27(2), pages 431-447, January.
   • Bettina Klaus & Flip Klijn, 2003. "Procedurally Fair and Stable Matching," UFAE and IAE Working Papers 582.03, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
   • Klaus, Bettina & Klijn, Flip, 2006. "Procedurally fair and stable matching," Open Access publications from Maastricht University urn:nbn:nl:ui:27-20031, Maastricht University.
2. Roth, Alvin E & Xing, Xiaolin, 1994. "Jumping the Gun: Imperfections and Institutions Related to the Timing of Market Transactions," American Economic Review, American Economic Association, vol. 84(4), pages 992-1044, September.
3. Ma, Jinpeng, 1996. "On Randomized Matching Mechanisms," Economic Theory, Springer, vol. 8(2), pages 377-81, August.
   
   • Jinpeng Ma, 1996. "On randomized matching mechanisms (*)," Economic Theory, Springer, vol. 8(2), pages 377-381.
4. 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.
5. Roth, Alvin E & Vande Vate, John H, 1990. "Random Paths to Stability in Two-Sided Matching," Econometrica, Econometric Society, vol. 58(6), pages 1475-80, November.
6. 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.
7. Barbera Salvador & Gul Faruk & Stacchetti Ennio, 1993. "Generalized Median Voter Schemes and Committees," Journal of Economic Theory, Elsevier, vol. 61(2), pages 262-289, December.
   
   • Barbera, S. & Gul, F. & Stacchetti, E., 1992. "Generalized Median Voter Schemes and Committees," UFAE and IAE Working Papers 184.92, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
8. Roth, Alvin E & Sotomayor, Marilda, 1989. "The College Admissions Problem Revisited," Econometrica, Econometric Society, vol. 57(3), pages 559-70, May.
9. Roth, Alvin E, 1991. "A Natural Experiment in the Organization of Entry-Level Labor Markets: Regional Markets for New Physicians and Surgeons in the United Kingdom," American Economic Review, American Economic Association, vol. 81(3), pages 415-40, June.

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Citations

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Cited by:

1. Peeters, Ronald & Strobel, Martin & Vermeulen, Dries & Walzl, Markus, 2007. "The impact of the irrelevant – Temporary buy-options and bidding behavior in online auctions," Research Memoranda 027, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization.
2. Bettina Klaus & Flip Klijn, 2007. "Smith and Rawls Share a Room," UFAE and IAE Working Papers 706.07, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
   
   • Klaus, Bettina & Klijn, Flip, 2007. "Smith and Rawls Share a Room," Research Memoranda 026, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization.
   • Bettina Klaus & Flip Klijn, 2007. "Smith and Rawls Share a Room," Working Papers 315, Barcelona Graduate School of Economics.
3. Horstschräer, Julia, 2012. "Decentralizing university admission: Evidence from a natural experiment," ZEW Discussion Papers 12-076, ZEW - Zentrum für Europäische Wirtschaftsforschung / Center for European Economic Research.
4. Bettina Klaus & Flip Klijn, 2009. "Smith and Rawls Share a Room: Stability and Medians," Harvard Business School Working Papers 09-111, Harvard Business School.
   
   • Bettina Klaus & Flip Klijn, 2010. "Smith and Rawls share a room: stability and medians," Social Choice and Welfare, Springer, vol. 35(4), pages 647-667, October.
   • Klaus, Bettina & Klijn, Flip, 2008. "Smith and Rawls Share a Room: Stability and Medians," Research Memoranda 009, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization.
5. Michael Schwarz & M. Bumin Yenmez, 2009. "Median Stable Matching," NBER Working Papers 14689, National Bureau of Economic Research, Inc.
6. Schwarz, Michael & Yenmez, M. Bumin, 2011. "Median stable matching for markets with wages," Journal of Economic Theory, Elsevier, vol. 146(2), pages 619-637, March.
7. Kominers, Scott Duke, 2010. "Matching with preferences over colleagues solves classical matching," Games and Economic Behavior, Elsevier, vol. 68(2), pages 773-780, March.

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