Flanders, Sam (2013): Continuous Matching with Single Peaked Preferences.
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Abstract
This paper derives several simple matching algorithms for special cases of a continuous two sided matching model where agents have single peaked preferences and face no costs or restrictions to matching. These algorithms allow matches to be computed as an explicit function of the parameters of the model, making them convenient for use in theoretical matching market models, such as dating markets. One such theoretical model is solved and analyzed. Finally, several possible extensions and topics for further study are explored, such as adding noise to observed types and allowing misreporting of type.
Item Type: | MPRA Paper |
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Original Title: | Continuous Matching with Single Peaked Preferences |
Language: | English |
Keywords: | Matching Theory, Dating, Marriage, Mathematical Economics |
Subjects: | C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C78 - Bargaining Theory ; Matching Theory D - Microeconomics > D0 - General > D01 - Microeconomic Behavior: Underlying Principles D - Microeconomics > D1 - Household Behavior and Family Economics > D10 - General |
Item ID: | 53668 |
Depositing User: | Sam Flanders |
Date Deposited: | 16 Feb 2014 01:31 |
Last Modified: | 28 Sep 2019 15:50 |
References: | Becker, Gary S, 1973. "A Theory of Marriage: Part I," Journal of Political Economy, University of Chicago Press, vol. 81(4), pages 813-46, July-Aug. Clark, S. (2003), “Matching and Sorting with Horizontal Heterogeneity”, ESE Discussion Paper 98, Clark, S. (2006). The uniqueness of stable matchings. Contributions in Theoretical Economics, 6(1), 1-28. Clark, S. (2007). Matching and sorting when like attracts like. References College Admissions and the Stability of Marriage D. Gale and L. S. Shapley The American Mathematical Monthly , Vol. 69, No. 1 (Jan., 1962), pp. 9-15 Published by: Mathematical Association of America Beauty Is a Beast, Frog Is a Prince: Assortative Matching with Nontransferabilities Author(s): Patrick Legros and Andrew F. Newman Reviewed work(s): Source: Econometrica, Vol. 75, No. 4 (Jul., 2007), pp. 1073-1102 ”Two-Sided Matching with Spatially Differentiated Agents,” Klumpp, Tilman, Journal of Mathematical Economics 45, 376-390, 2009. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/53668 |