Strategy-proofness, efficiency, and the core in matching problems with transfers

Shuhei Morimoto

Games and Economic Behavior, 2025, vol. 153, issue C, 30-41

Abstract: We study a class of matching problems in which monetary transfers are possible. In this paper, we establish a close connection between the core and the existence of desirable rules that satisfy strategy-proofness or one-sided strategy-proofness. In our main result, we show that the optimal core is a unified lower bound of welfare for the existence of rules that satisfy strategy-proofness (or one-sided strategy-proofness), efficiency, individual rationality, and no subsidy. Applying this result, we also obtain impossibility and characterization results in our environment.

Keywords: Matching; Core; Strategy-proofness; Efficiency (search for similar items in EconPapers)
JEL-codes: C71 C78 D71 D82 (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:gamebe:v:153:y:2025:i:c:p:30-41

DOI: 10.1016/j.geb.2025.06.001

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