Equal opportunities in many-to-one matching markets

Domenico Moramarco () and Umutcan Salman ()
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Domenico Moramarco: University of Bari - DiEF
Umutcan Salman: Université libre de Bruxelles - ECARES

No 649, Working Papers from ECINEQ, Society for the Study of Economic Inequality

Abstract: We introduce a notion of fairness, inspired by the equality of opportunity literature, into many-to-one matching markets endowed with a measure of the quality of a match between two entities in the market. In this framework, fairness considerations are made by a social evaluator based on the match quality distribution. We impose the standard notion of stability as minimal desideratum and study matching that satisfy our notion of fairness and a notion of efficiency based on aggregate match quality. To overcome some of the identified incompatibilities, we propose two alternative approaches. The first one is a linear programming solution to maximize fairness under stability constraints. The second approach weakens fairness and efficiency to define a class of opportunity egalitarian social welfare functions that evaluate stable matchings. We then describe an algorithm to find the stable matching that maximizes social welfare.

Keywords: many-to-one matching; equality of opportunity; rotation; stability (search for similar items in EconPapers)
JEL-codes: C78 D63 (search for similar items in EconPapers)
Pages: 31 pages
Date: 2023-07
New Economics Papers: this item is included in nep-des
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