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. We investigate two new properties that capture the effect a newcomer has on incumbent agents. Competition sensitivity focuses on the newcomer as additional consumer and requires that some incumbents will suffer if competition is caused by a newcomer. Resource sensitivity focuses on the newcomer as additional resource and requires that this is beneficial for some incumbents. For solvable roommate markets, we provide the first characterizations of the core using either competition or resource sensitivity. On the domain of all roommate markets, we obtain two associated impossibility results.
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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
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Roth, Alvin E. & Sotomayor, Marilda, 1992.
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[Downloadable!] (restricted)
Barbera, S. & Bossert, W. & Pattanaik, P.K., 2001.
"Ranking Sets of Objects,"
Cahiers de recherche
2001-02, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
Other versions:
BARBERA, Salvador & BOSSERT, Walter & PATTANAIK, Prasanta K., 2001.
"Ranking Sets of Objects,"
Cahiers de recherche
2001-02, Universite de Montreal, Departement de sciences economiques.
[Downloadable!]