Random assignments on preference domains with a tier structure

Peng Liu and Huaxia Zeng

Journal of Mathematical Economics, 2019, vol. 84, issue C, 176-194

Abstract: We address a standard random assignment problem (Bogomolnaia and Moulin, 2001). A weakly connected domain admitting an sd-strategy-proof, sd-efficient and equal-treatment-of-equals rule is characterized to be a restricted tier domain. Conversely, on such a domain, the probabilistic serial rule is uniquely characterized by either sd-strategy-proofness, sd-efficiency and equal treatment of equals, or sd-efficiency and sd-envy-freeness. Moreover, we provide an algorithm to construct unions of multiple restricted tier domains, each of which admits an sd-strategy-proof, sd-efficient and sd-envy-free rule.

Keywords: Sd-strategy-proofness; Sd-efficiency; Equal treatment of equals; Sd-envy-freeness; Probabilistic serial rule; Restricted tier domains (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (9)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:mateco:v:84:y:2019:i:c:p:176-194

DOI: 10.1016/j.jmateco.2019.04.010

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