Foundations of Pseudomarkets: Walrasian Equilibria for Discrete Resources

Marek Pycia and Antonio Miralles

No 15161, CEPR Discussion Papers from C.E.P.R. Discussion Papers

Abstract: We study the assignment of objects in environments without transfers allowing for single-unit and general multi-unit demands, and any linear constraints, thus covering a wide range of applied environments, from school choice to course allocation. We establish the Second Welfare Theorem for these environments despite them failing the local non-satiation condition that previous studies of the Second Welfare Theorem relied on. We also prove a strong version of the First Welfare Theorem. We thus show that the link between efficiency and decentralization through prices is valid in environments without transfers, and hence provide a foundation for pseudomarket- based market design by showing that the restriction to such mechanisms is without loss of generality.

Date: 2020-08
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Journal Article: Foundations of pseudomarkets: Walrasian equilibria for discrete resources (2021)
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