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Incentive Compatibility of Large Centralized Matching Markets

Lee, Sangmok (2011) Incentive Compatibility of Large Centralized Matching Markets. Social Science Working Paper, 1350. California Institute of Technology , Pasadena, CA. (Unpublished) http://resolver.caltech.edu/CaltechAUTHORS:20170727-114350596

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Abstract

This paper discusses the strategic manipulation of stable matching mechanisms. We provide a model of a two-sided matching market, in which a firm hires a worker, and each of them receives non-transferable utility. Assuming that the utilities are randomly drawn from underlying distributions, we measure the likelihood of differences in utilities from different stable matchings. Our key finding is that in large markets, most agents are close to being indifferent among partners in different stable matchings. Specifically, as the number of firms and workers becomes large, the expected proportion of firms and workers whose utilities from all stable matchings are within an arbitrarily small difference of one another converges to one. It is known that the utility gain by manipulating a stable matching mechanism is limited by the difference between utilities from the most and the least preferred stable matchings. Thus, the finding also implies that the expected proportion of agents who may obtain a significant utility gain from manipulation vanishes in large markets. This result reconciles successful stable mechanisms in practice with the theoretical concerns about strategic manipulation.


Item Type:Report or Paper (Working Paper)
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Additional Information:I am especially grateful to Federico Echenique, Matt Shum, and Leeat Yariv for encouragement and guidance. I also thank Hyoung-Jun Ahn, Kim Border, Ruth Mendel, Juan Sebastian Pereyra, Tom Ruchti, Bob Sherman, and seminar participants at Mid-west Economic Theory in Notre Dame, SISL, and the Summer 2011 Meeting of the Econometric Society for very helpful discussions.
Group:Social Science Working Papers
Record Number:CaltechAUTHORS:20170727-114350596
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20170727-114350596
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:79495
Collection:CaltechAUTHORS
Deposited By: Hanna Storlie
Deposited On:02 Aug 2017 21:35
Last Modified:08 Dec 2017 23:28

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