Smith and Rawls Share a Room
AbstractWe consider one-to-one matching (roommate) problems in which agents (students) can either be matched as pairs or remain single. The aim of this paper is twofold. First, we review a key result for roommate problems (the ``lonely wolf'' theorem) for which we provide a concise and elementary proof. Second, and related to the title of this paper, we show how the often incompatible concepts of stability (represented by the political economist Adam Smith) and fairness (represented by the political philosopher John Rawls) can be reconciled for roommate problems.
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Bibliographic InfoPaper provided by Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC) in its series UFAE and IAE Working Papers with number 706.07.
Date of creation: 20 Jun 2007
Date of revision:
roommate problem; stability; fairness;
Other versions of this item:
- Klaus, Bettina & Klijn, Flip, 2007. "Smith and Rawls Share a Room," Research Memorandum 026, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
- Bettina Klaus & Flip Klijn, 2007. "Smith and Rawls Share a Room," Working Papers 315, Barcelona Graduate School of Economics.
- C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
- 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-2007-06-30 (All new papers)
- NEP-CDM-2007-06-30 (Collective Decision-Making)
- NEP-GTH-2007-06-30 (Game Theory)
- NEP-HPE-2007-06-30 (History & Philosophy of Economics)
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.:
- Diamantoudi, Effrosyni & Miyagawa, Eiichi & Xue, Licun, 2004.
"Random paths to stability in the roommate problem,"
Games and Economic Behavior,
Elsevier, vol. 48(1), pages 18-28, July.
- Roth, Alvin E. & Sotomayor, Marilda, 1992.
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
- Bettina Klaus & Flip Klijn, 2006.
"Median Stable Matching for College Admissions,"
International Journal of Game Theory,
Springer, vol. 34(1), pages 1-11, April.
- Bettina Klaus & Flip Klijn, 2004. "Median Stable Matching for College Admission," UFAE and IAE Working Papers 632.04, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC), revised 16 Feb 2006.
- Bettina Klaus & Flip Klijn, 2004. "Median Stable Matching for College Admission," Working Papers 165, Barcelona Graduate School of Economics.
- Martinez, Ruth & Masso, Jordi & Neme, Alejandro & Oviedo, Jorge, 2000. "Single Agents and the Set of Many-to-One Stable Matchings," Journal of Economic Theory, Elsevier, vol. 91(1), pages 91-105, March.
- 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.
- Chung, Kim-Sau, 2000. "On the Existence of Stable Roommate Matchings," Games and Economic Behavior, Elsevier, vol. 33(2), pages 206-230, November.
- Bettina Klaus & Flip Klijn & Markus Walzl, 2008.
"Stochastic Stability for Roommate Markets,"
357, Barcelona Graduate School of Economics.
- INARRA, Elena & LARREA, Conchi & MOLIS, Elena, 2010.
"The stability of the roommate problem revisited,"
CORE Discussion Papers
2010007, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Bettina Klaus & Flip Klijn & Markus Walzl, 2009.
"Farsighted Stability for Roommate Markets,"
385, Barcelona Graduate School of Economics.
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