Even More Effort Towards Improved Bounds and Fixed-Parameter Tractability for Multiwinner Rules

Sushmita Gupta, Pallavi Jain, Saket Saurabh, Nimrod Talmon

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Multiwinner elections have proven to be a fruitful research topic with many real-world applications. We contribute to this line of research by improving the state of the art regarding the computational complexity of computing good committees. More formally, given a set of candidates C, a set of voters V, each ranking the candidates according to their preferences, and an integer k; a multiwinner voting rule identifies a k-sized committee, based on these given voter preferences. In this paper we consider several utilitarian and egailitarian OWA (ordered weighted average) scoring rules, which are an extensively-researched family of rules (and a subfamily of the family of committee scoring rules). First, we improve the result of Betzler et al. [JAIR, 2013], which gave a O(nn) algorithm for computing winner under the Chamberlin Courant rule (CC), where n is the number of voters; to a running time of O(2n), which is optimal. Furthermore, we study the parameterized complexity of the Pessimist voting rule and describe a few tractable and intractable cases. Apart from such utilitarian voting rules, we extend our study and consider egalitarian median and egalitarian mean (both committee scoring rules), showing some tractable and intractable results, based on nontrivial structural observations.

Original languageEnglish
Title of host publicationProceedings of the 30th International Joint Conference on Artificial Intelligence, IJCAI 2021
EditorsZhi-Hua Zhou
PublisherInternational Joint Conferences on Artificial Intelligence
Pages217-223
Number of pages7
ISBN (Electronic)9780999241196
StatePublished - 1 Jan 2021
Event30th International Joint Conference on Artificial Intelligence, IJCAI 2021 - Virtual, Online, Canada
Duration: 19 Aug 202127 Aug 2021

Publication series

NameIJCAI International Joint Conference on Artificial Intelligence
ISSN (Print)1045-0823

Conference

Conference30th International Joint Conference on Artificial Intelligence, IJCAI 2021
Country/TerritoryCanada
CityVirtual, Online
Period19/08/2127/08/21

ASJC Scopus subject areas

  • Artificial Intelligence

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