Voudouris, Alexandros A (2025) Metric Distortion of Obnoxious Distributed Voting. Information Processing Letters, 189. p. 106559. DOI https://doi.org/10.1016/j.ipl.2025.106559
Voudouris, Alexandros A (2025) Metric Distortion of Obnoxious Distributed Voting. Information Processing Letters, 189. p. 106559. DOI https://doi.org/10.1016/j.ipl.2025.106559
Voudouris, Alexandros A (2025) Metric Distortion of Obnoxious Distributed Voting. Information Processing Letters, 189. p. 106559. DOI https://doi.org/10.1016/j.ipl.2025.106559
Abstract
We consider a distributed voting problem with a set of agents that are partitioned into disjoint groups and a set of obnoxious alternatives. Agents and alternatives are represented by points in a metric space. The goal is to compute the alternative that maximizes the total distance from all agents using a two-step mechanism which, given some information about the distances between agents and alternatives, first chooses a representative alternative for each group of agents, and then declares one of them as the overall winner. Due to the restricted nature of the mechanism and the potentially limited information it has to make its decision, it might not be always possible to choose the optimal alternative. We show tight bounds on the distortion of different mechanisms depending on the amount of the information they have access to; in particular, we study full-information and ordinal mechanisms.
Item Type: | Article |
---|---|
Divisions: | Faculty of Science and Health Faculty of Science and Health > Computer Science and Electronic Engineering, School of |
SWORD Depositor: | Unnamed user with email elements@essex.ac.uk |
Depositing User: | Unnamed user with email elements@essex.ac.uk |
Date Deposited: | 29 Aug 2025 10:32 |
Last Modified: | 29 Aug 2025 10:33 |
URI: | http://repository.essex.ac.uk/id/eprint/40061 |
Available files
Filename: 1-s2.0-S0020019025000031-main.pdf
Licence: Creative Commons: Attribution-Noncommercial-No Derivative Works 4.0