Implementation of the Core in College Admissions Problems When Colleagues Matter
This 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 agents’ preferences.
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Volume (Year): 11 (2011)
Issue (Month): 1 (September)
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