×

zbMATH — the first resource for mathematics

Stability of matchings when individuals have preferences over colleagues. (English) Zbl 0892.90049
Summary: In the standard two-sided matching models, agents on one side of the market (the institutions) can each be matched to a set of agents (the individuals) on the other side of the market, and the individuals only have preferences defined over institutions to which they can be matched. We explicitly study the consequences for stability when the composition of one’s co-workers or colleagues can affect the preferences over institutions.

MSC:
91B26 Auctions, bargaining, bidding and selling, and other market models
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Crawford, V.; Knoer, E.M., Job matching with heterogeneous firms and workers, Econometrica, 49, 437-450, (1981) · Zbl 1202.91141
[2] Gale, D.; Shapley, L., College admissions and the stability of marriage, Amer. math. monthly, 69, 9-15, (1962) · Zbl 0109.24403
[3] Kelso, A.; Crawford, V., Job matching, coalition formation, and Gross substitutes, Econometrica, 50, 1483-1504, (1982) · Zbl 0503.90019
[4] Roth, A., The economics of matching: stability and incentives, Math. oper. res., 7, 617-628, (1982) · Zbl 0496.90008
[5] Roth, A., The college admission problem is not equivalent to the marriage problem, J. econ. theory, 36, 277-288, (1985) · Zbl 0594.90002
[6] A. Roth, M. Sotomayor, 1990, Two-sided Matching: A Study in Game-Theoretic Modeling and Analysis, Cambridge University Press, Cambridge, England · Zbl 0726.90003
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.