The equivalence between random priority and probabilistic serial rule on restricted preference domains

Yajing Chen, Zhenhua Jiao and Fang Zhao

Economics Letters, 2025, vol. 251, issue C

Abstract: We study the outcome equivalence between the random priority (RP) rule and the probabilistic serial (PS) rule on restricted preference domains. For random assignment problems defined on restricted tier domains, the following three statements are equivalent: (i) The RP rule is outcome equivalent to the PS rule; (ii) On each tier consisting of two objects all agents except one have the same preferences over objects in such tier; (iii) The RP rule is ordinally efficient. For problems defined on the universal domain, we provide a sufficient condition for the outcome equivalence of the RP rule and the PS rule.

Keywords: Random assignment; The random priority rule; The probabilistic serial rule; Restricted tier domain (search for similar items in EconPapers)
JEL-codes: C70 C78 D71 D78 (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:ecolet:v:251:y:2025:i:c:s0165176525001569

DOI: 10.1016/j.econlet.2025.112319

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