Minimal envy and popular matchings

Aleksei Kondratev () and Alexander Nesterov

European Journal of Operational Research, 2022, vol. 296, issue 3, 776-787

Abstract: We study ex-post fairness and efficiency in the object allocation problem. A matching is individually fair if it minimizes the number of envying agents, we call it minimal envy matching, and conditional on being minimal envy also minimizes the number of envying agents in a reduced problem, we call it minimal envy-2 matching. A matching is socially fair if supported by the majority of agents against any other matching – popular matching. We observe that when a popular matching exists it is equivalent to a minimal envy-2 matching.

Keywords: Assignment; Object allocation; Ex-post fairness; Popular matching; Minimal envy (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:296:y:2022:i:3:p:776-787

DOI: 10.1016/j.ejor.2021.03.060

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