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|
|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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- Klaus, Bettina, 2011.
"Competition and resource sensitivity in marriage and roommate markets,"
Games and Economic Behavior,
Elsevier, vol. 72(1), pages 172-186, May.
- 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.
- Klaus Bettina, 2007. "Competition and Resource Sensitivity in Marriage and Roommate Markets," Research Memorandum 046, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
- 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.
- 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;The Society for Social Choice and Welfare, vol. 35(4), pages 647-667, October.
- Klaus, Bettina & Klijn, Flip, 2008. "Smith and Rawls Share a Room: Stability and Medians," Research Memorandum 009, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
- Roth, Alvin E & Vande Vate, John H, 1990. "Random Paths to Stability in Two-Sided Matching," Econometrica, Econometric Society, vol. 58(6), pages 1475-1480, November.
- Chung, Kim-Sau, 2000. "On the Existence of Stable Roommate Matchings," Games and Economic Behavior, Elsevier, vol. 33(2), pages 206-230, November.
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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.
- 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.
- Manabu Toda, 2006. "Monotonicity and Consistency in Matching Markets," International Journal of Game Theory, Springer;Game Theory Society, vol. 34(1), pages 13-31, April.
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