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Media type:
E-Article
Title:
Random Serial Dictatorship: The One and Only
Contributor:
Bade, Sophie
Published:
Institute for Operations Research and the Management Sciences (INFORMS), 2020
Published in:
Mathematics of Operations Research, 45 (2020) 1, Seite 353-368
Language:
English
DOI:
10.1287/moor.2019.0987
ISSN:
0364-765X;
1526-5471
Origination:
Footnote:
Description:
Fix a Pareto-optimal, strategy-proof, and nonbossy deterministic matching mechanism and define a random matching mechanism by assigning agents to the roles in the mechanism via a uniform lottery. Given a profile of preferences, the lottery over outcomes that arises under the random matching mechanism is identical to the lottery that arises under random serial dictatorship, where the order of dictators is uniformly distributed. This result extends the celebrated equivalence between the core from random endowments and random serial dictatorship to the grand set of all Pareto-optimal, strategy-proof, and nonbossy matching mechanisms.