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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.
Keywords: college admissions problem; core; implementation
Published Online: 2011-9-2
©2011 Walter de Gruyter GmbH & Co. KG, Berlin/Boston