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A Characterization of Maximum Nash Welfare for Indivisible Goods

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  • Warut Suksompong

Abstract

In the allocation of indivisible goods, the maximum Nash welfare (MNW) rule, which chooses an allocation maximizing the product of the agents' utilities, has received substantial attention for its fairness. We characterize MNW as the only additive welfarist rule that satisfies envy-freeness up to one good. Our characterization holds even in the simplest setting of two agents.

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  • Warut Suksompong, 2022. "A Characterization of Maximum Nash Welfare for Indivisible Goods," Papers 2212.04203, arXiv.org, revised Dec 2022.
    • Handle: RePEc:arx:papers:2212.04203
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    File URL: http://arxiv.org/pdf/2212.04203
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    1. Xiaohui Bei & Xinhang Lu & Warut Suksompong, 2021. "Truthful Cake Sharing," Papers 2112.05632, arXiv.org, revised Feb 2022.
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    1. Suksompong, Warut, 2023. "A characterization of maximum Nash welfare for indivisible goods," Economics Letters, Elsevier, vol. 222(C).

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