Complexity of Manipulating and Controlling Approval-Based Multiwinner Voting
Abstract
We investigate the complexity of several manipulation and control problems under numerous prevalent approval-based multiwinner voting rules. Particularly, the rules we study include approval voting (AV), satisfaction approval voting (SAV), net-satisfaction approval voting (NSAV), proportional approval voting (PAV), approval-based Chamberlin-Courant voting (ABCCV), minimax approval voting (MAV), etc. We show that these rules generally resist the strategic types scrutinized in the paper, with only a few exceptions. In addition, we also obtain many fixed-parameter tractability results for these problems with respect to several natural parameters, and derive polynomial-time algorithms for certain special cases.
Keywords
Cite
@article{arxiv.2302.11291,
title = {Complexity of Manipulating and Controlling Approval-Based Multiwinner Voting},
author = {Yongjie Yang},
journal= {arXiv preprint arXiv:2302.11291},
year = {2023}
}
Comments
45pages, 1figure, full version of a paper at IJCAI 2019