Implementation of the Core in College Admissions Problems When Colleagues Matter
AbstractThis paper presents mechanisms implementing the core correspondence of many-to-one matching markets, such as college admissions problems, where the students have preferences over the other students who would attend the same college. We first present a sequential mechanism implementing the core. We then show that simple two-stage mechanisms, which mimics the real-life processes, cannot be used to implement the core correspondence in subgame perfect Nash equilibrium even with strong assumptions on agentsâ€™ preferences.
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Bibliographic InfoArticle provided by De Gruyter in its journal The B.E. Journal of Theoretical Economics.
Volume (Year): 11 (2011)
Issue (Month): 1 ()
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Web page: http://www.degruyter.com
Find related papers by JEL classification:
- C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
- D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy-Making and Implementation
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