On Maximum Weighted Nash Welfare for Binary Valuations

Warut Suksompong; Nicholas Teh

doi:10.1016/j.mathsocsci.2022.03.004

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arXiv · 2204.03803

On Maximum Weighted Nash Welfare for Binary Valuations

Warut Suksompong·Nicholas Teh

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Abstract

We consider the problem of fairly allocating indivisible goods to agents with weights representing their entitlements. A natural rule in this setting is the maximum weighted Nash welfare (MWNW) rule, which selects an allocation maximizing the weighted product of the agents' utilities. We show that when agents have binary valuations, a specific version of MWNW is resource- and population-monotone, satisfies group-strategyproofness, and can be implemented in polynomial time.

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econ.TH cs.GT

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Warut Suksompong, Nicholas Teh. 2022-04-08. On Maximum Weighted Nash Welfare for Binary Valuations. https://doi.org/10.1016/j.mathsocsci.2022.03.004

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