Median Stable Matching for Markets with Wages

We define the median stable matching for two-sided matching markets with wages and prove constructively that it exists.

[1]  Tamás Fleiner,et al.  A Fixed-Point Approach to Stable Matchings and Some Applications , 2003, Math. Oper. Res..

[2]  V. Crawford,et al.  Job Matching, Coalition Formation, and Gross Substitutes , 1982 .

[3]  Paul R. Milgrom,et al.  Matching with Contracts , 2005 .

[4]  Marina Núñez,et al.  Characterization of the extreme core allocations of the assignment game , 2003, Games Econ. Behav..

[5]  V. Crawford,et al.  Job Matching with Heterogeneous Firms and Workers , 1981 .

[6]  Serkan Kucuksenel Core of the assignment game via fixed point methods , 2011 .

[7]  Jeremy I. Bulow,et al.  Matching and Price Competition , 2003 .

[8]  Alvin E. Roth,et al.  Two-Sided Matching: A Study in Game-Theoretic Modeling and Analysis , 1990 .

[9]  F. Vega-Redondo Complex Social Networks: Econometric Society Monographs , 2007 .

[10]  Chung-Piaw Teo,et al.  The Geometry of Fractional Stable Matchings and Its Applications , 1998, Math. Oper. Res..

[11]  Vincent P. Crawford,et al.  The Flexible-Salary Match: A Proposal to Increase the Salary Flexibility of the National Resident Matching Program , 2005 .

[12]  Donald E. Knuth Mariages stables et leurs relations avec d'autres problèmes combinatoires : introduction à l'analyse mathématique des algorithmes , 1976 .

[13]  Alvin E. Roth Deferred acceptance algorithms: history, theory, practice, and open questions , 2008, Int. J. Game Theory.

[14]  Chung-Piaw Teo,et al.  Many-to-One Stable Matching: Geometry and Fairness , 2006, Math. Oper. Res..

[15]  Marina Núñez,et al.  On the dimension of the core of the assignment game , 2008, Games Econ. Behav..

[16]  Matching and Price Competition : Comment , 2009 .

[17]  Bettina Klaus,et al.  Median Stable Matching for College Admissions , 2006, Int. J. Game Theory.

[18]  Bettina Klaus,et al.  Smith and Rawls share a room: stability and medians , 2010, Soc. Choice Welf..

[19]  John M. Lee Introduction to Topological Manifolds , 2000 .

[20]  L. Shapley,et al.  The assignment game I: The core , 1971 .

[21]  J. Duistermaat,et al.  Multidimensional Real Analysis II: Integration , 2004 .