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Equivalence between individual and group strategy-proofness under stability

Pinaki Mandal

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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.

Date: 2023-10
New Economics Papers: this item is included in nep-mic
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