Consistency and Population Sensitivity Properties in Marriage and Roommate Markets
We consider one-to-one matching markets in which agents can either be matched as pairs or remain single. In these so-called roommate markets agents are consumers and resources at the same time. Klaus (2010) introduced two new "population sensitivity" properties that capture the effect newcomers have on incumbent agents: competition sensitivity and resource sensitivity. On various roommate market domains (marriage markets, no odd rings roommate markets, solvable roommate markets), we characterize the core using either of the population sensitivity properties in addition to weak unanimity and consistency. On the domain of all roommate markets, we obtain two associated impossibility results.
|Date of creation:||Sep 2010|
|Date of revision:|
|Publication status:||Published in Social Choice and Welfare, 41(4), October 2013, pp. 835-862|
|Contact details of provider:|| Postal: Université de Lausanne, Faculté des HEC, DEEP, Internef, CH-1015 Lausanne|
Phone: ++41 21 692.33.20
Web page: http://www.hec.unil.ch/deep/publications/cahiers/series
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- Chung, Kim-Sau, 2000. "On the Existence of Stable Roommate Matchings," Games and Economic Behavior, Elsevier, vol. 33(2), pages 206-230, November.
- Klaus, Bettina, 2011.
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Games and Economic Behavior,
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- Bettina Klaus, 2007. "Competition and Resource Sensitivity in Marriage and Roommate Markets," Harvard Business School Working Papers 09-072, Harvard Business School, revised Dec 2008.
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- Bettina Klaus, 2010. "Competition and Resource Sensitivity in Marriage and Roommate Markets," Cahiers de Recherches Economiques du Département d'Econométrie et d'Economie politique (DEEP) 10.03, Université de Lausanne, Faculté des HEC, DEEP.
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"Smith and Rawls share a room: stability and medians,"
Social Choice and Welfare,
Springer;The Society for Social Choice and Welfare, vol. 35(4), pages 647-667, October.
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- Bettina Klaus & Flip Klijn, 2009. "Smith and Rawls Share a Room: Stability and Medians," Harvard Business School Working Papers 09-111, Harvard Business School.
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- Sasaki, Hiroo & Toda, Manabu, 1992. "Consistency and characterization of the core of two-sided matching problems," Journal of Economic Theory, Elsevier, vol. 56(1), pages 218-227, February.
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