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- W3122632099 abstract "We consider school choice problems (Abdulkadiroglu and Sonmez, 2003) where students are assigned to public schools through a centralized assignment mechanism. We study the family of so-called rank-priority mechanisms, each of which is induced by an order of rank-priority pairs. Following the corresponding order of pairs, at each step a rank-priority mechanism considers a rank-priority pair and matches an available student to an unfilled school if the student and the school rank and prioritize each other in accordance with the rank-priority pair. The Boston or immediate acceptance mechanism is a particular rank-priority mechanism. Our first main result is a characterization of the subfamily of rank-priority mechanisms that Nash implement the set of stable (i.e., fair) matchings (Theorem 1). We show that our characterization also holds for sub-implementation and sup-implementation (Corollaries 3 and 4). Our second main result is a strong impossibility result: under incomplete information, no rank-priority mechanism implements the set of stable matchings (Theorem 2)." @default.
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- W3122632099 date "2017-01-01" @default.
- W3122632099 modified "2023-10-18" @default.
- W3122632099 title "School Choice: Nash Implementation of Stable Matchings through Rank-Priority Mechanisms" @default.
- W3122632099 doi "https://doi.org/10.2139/ssrn.2974389" @default.
- W3122632099 hasPublicationYear "2017" @default.
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