Extending the Characterization of Maximum Nash Welfare
Sheung Man Yuen, Warut Suksompong
TL;DR
This paper broadens the understanding of the maximum Nash welfare rule by extending its unique characterization from additive welfarist rules to all welfarist rules in indivisible goods allocation.
Contribution
It generalizes the characterization of maximum Nash welfare to encompass all welfarist rules, not just additive ones.
Findings
Maximum Nash welfare is uniquely characterized among all welfarist rules.
The characterization holds under envy-freeness up to one good.
Extends previous results to a broader class of rules.
Abstract
In the allocation of indivisible goods, the maximum Nash welfare rule has recently been characterized as the only rule within the class of additive welfarist rules that satisfies envy-freeness up to one good. We extend this characterization to the class of all welfarist rules.
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Taxonomy
TopicsGame Theory and Voting Systems · Economic theories and models · Auction Theory and Applications