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A new impossibility result for random assignments

Mehdi Feizi and Rasoul Ramezanian

Journal of Mathematical Economics, 2023, vol. 107, issue C

Abstract: We know that ex-post Pareto efficiency is possible with strategy-proofness and weak envy-freeness while ordinally efficiency is incompatible with them. We strengthen this impossibility for random assignments and show that it prevails if ordinal efficiency is weakened to robust ex-post Pareto efficiency, an intermediate notion of efficiency weaker than ordinal efficiency and stronger than ex-post Pareto efficiency. An assignment is robust ex-post Pareto efficient whenever for all of its lottery decomposition, each deterministic assignment in its support is Pareto efficient.

Keywords: Random assignment problem; Robust ex-post pareto efficiency; Weak envy-freeness (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:mateco:v:107:y:2023:i:c:s0304406823000435

DOI: 10.1016/j.jmateco.2023.102850

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