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Equivalence between individual and group strategy-proofness under stability

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  • Pinaki Mandal

Abstract

This paper studies the (group) strategy-proofness aspect of two-sided matching markets under stability. For a one-to-one matching market, we show an equivalence between individual and group strategy-proofness under stability. We obtain this equivalence assuming the domain satisfies a richness condition. However, the result cannot be extended to the many-to-one matching markets. We further consider a setting with single-peaked preferences and characterize all domains compatible for stability and (group) strategy-proofness.

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  • Pinaki Mandal, 2023. "Equivalence between individual and group strategy-proofness under stability," Papers 2310.05252, arXiv.org.
    • Handle: RePEc:arx:papers:2310.05252
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