The main contribution is to show how stability with respect to a random D can be used to bound distortion, and to show how stability with respect to a random D can be used to bound distortion.
The proof introduces random-size stable lotteries, proves their existence, and derives the new bound through a potential argument, improving the upper bound to 2.1441.
We consider the metric distortion framework for voting, where $n$ voters and $m$ candidates are embedded in an unknown metric space. A voting rule selects a candidate using only voters'ordinal preferences, and its distortion is the worst-case ratio between the social cost of the selected candidate and the minimum socia...
We study multiwinner voting with $n$ voters and $m$ candidates, where the goal is to select a committee of size $k$. Voters have unit-sum cardinal utilities but report only coarse information induced by $t$ utility thresholds. In particular, each voter partitions the candidates into approval sets, with the utilities of...
M. Latifian, Marzie Nilipour, A. Voudouris· 0 citations
Approval voting is a simple and well-regarded voting rule: voters submit approval ballots (subsets of the candidates) and the candidate receiving the most approvals wins. One major limitation of approval voting is that it is not clear which candidates voters should approve if they have an underlying strict order over t...
We prove the existence of a randomized voting rule with metric distortion at most $2.13713$, within $0.025$ of the lower bound of $2.11264$. Our rule comes from a generalization of stable $k$-lotteries developed in the context of committee selection. In contrast to prior work, our rule samples from a single distributio...
Zi-Yi Cai, Moses Charikar, Jabari Hastings et al.· 1 citation
We consider sequential Plurality elections in which each voter may abstain or vote for a single candidate. Each voter assigns utilities to all candidates; for each voter, this induces a (weak) order over the candidates. Ties are resolved uniformly at random, and voting has a small positive cost, so that a voter prefers...
Edith Elkind· 0 citations
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