On the Complexity of Destructive Bribery in Approval-Based Multi-winner Voting

Fuente: arXiv
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Autor principal: Yang, Yongjie
Formato: Preprint
Publicado: 2020
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author Yang, Yongjie
author_facet Yang, Yongjie
contents A variety of constructive manipulation, control, and bribery problems for approval-based multiwinner voting have been extensively studied recently. However, their destructive counterparts seem to be less explored. This paper investigates the complexity of several destructive bribery problems under five prestigious approval-based multiwinner voting rules -- approval voting, satisfaction approval voting, net-satisfaction approval voting, Chamberlin-Courant approval voting, and proportional approval voting. Broadly, these problems are to determine if a number of given candidates can be excluded from any winning committees by performing a limited number of modification operations. We offer a complete landscape of the complexity of the problems. For NP-hard problems, we study their parameterized complexity with respect to meaningful parameters.
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id arxiv_https___arxiv_org_abs_2002_00836
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publishDate 2020
record_format arxiv
spellingShingle On the Complexity of Destructive Bribery in Approval-Based Multi-winner Voting
Yang, Yongjie
Computer Science and Game Theory
Multiagent Systems
A variety of constructive manipulation, control, and bribery problems for approval-based multiwinner voting have been extensively studied recently. However, their destructive counterparts seem to be less explored. This paper investigates the complexity of several destructive bribery problems under five prestigious approval-based multiwinner voting rules -- approval voting, satisfaction approval voting, net-satisfaction approval voting, Chamberlin-Courant approval voting, and proportional approval voting. Broadly, these problems are to determine if a number of given candidates can be excluded from any winning committees by performing a limited number of modification operations. We offer a complete landscape of the complexity of the problems. For NP-hard problems, we study their parameterized complexity with respect to meaningful parameters.
title On the Complexity of Destructive Bribery in Approval-Based Multi-winner Voting
topic Computer Science and Game Theory
Multiagent Systems
url https://arxiv.org/abs/2002.00836