The Distortion of Binomial Voting Defies Expectation

06/27/2023

∙

by   Yannai A. Gonczarowski, et al.

∙

0

∙

share

In computational social choice, the distortion of a voting rule quantifies the degree to which the rule overcomes limited preference information to select a socially desirable outcome. This concept has been investigated extensively, but only through a worst-case lens. Instead, we study the expected distortion of voting rules with respect to an underlying distribution over voter utilities. Our main contribution is the design and analysis of a novel and intuitive rule, binomial voting, which provides strong expected distortion guarantees for all distributions.