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New axioms for top trading cycles
Authors:Siwei Chen  Yajing Chen  Chia-Ling Hsu
Institution:1. Lingnan College, Sun Yat-sen University, Guangzhou, China;2. School of Business, East China University of Science and Technology, Shanghai, China;3. Institute of Economics, National Sun Yat-sen University, Kaohsiung, Taiwan
Abstract:The school choice problem is of great importance both in theory and practice. This paper studies the (student-optimal) top trading cycles mechanism (TTCM) in an axiomatic way. We introduce two new axioms: MBG (mutual best group)-quota-rationality and MBG-robust efficiency. While stability implies MBG-quota rationality, MBG-robust efficiency is weaker than robust efficiency, which is stronger than the combination of efficiency and group strategy proofness. The TTCM is characterized by MBG-quota rationality and MBG-robust efficiency. Our results construct a new basis to compare the TTCM with the other school choice mechanisms, in terms of both fairness and incentive-related axioms.
Keywords:characterization  mutual best group quota-rationality  mutual best group robust efficiency  top trading cycles mechanism
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