Parameterized complexity of multiwinner determination: more effort towards fixed-parameter tractability

We study the parameterized complexity of winner determination problems for three prevalent k -committee selection rules, namely the minimax approval voting (MAV), the proportional approval voting (PAV), and the Chamberlin–Courant’s approval voting (CCAV). It is known that these problems are computat...

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Bibliographic Details
Published in:Autonomous agents and multi-agent systems Vol. 37; no. 2; p. 28
Main Authors: Yang, Yongjie, Wang, Jianxin
Format: Journal Article
Language:English
Published: New York Springer US 01.12.2023
Springer Nature B.V
Subjects:
Algorithms
Artificial Intelligence
Candidates
Committees
Complexity
Computer Science
Computer Systems Organization and Communication Networks
Decision making
Elections
Graphs
Parameterization
Parameters
Software Engineering/Programming and Operating Systems
User Interfaces and Human Computer Interaction
Voters
W-hard
Proportional approval voting
Multiwinner voting
Chamberlin–Courant’s approval voting
Minimax approval voting
Fixed-parameter tractability
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ISSN:1387-2532, 1573-7454
Online Access:Get full text
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Summary:We study the parameterized complexity of winner determination problems for three prevalent k -committee selection rules, namely the minimax approval voting (MAV), the proportional approval voting (PAV), and the Chamberlin–Courant’s approval voting (CCAV). It is known that these problems are computationally hard. Although they have been studied from the parameterized complexity point of view with respect to several natural parameters, many of them turned out to be W[1]-hard or W[2]-hard. Aiming at obtaining plentiful fixed-parameter algorithms, we revisit these problems by considering more natural single parameters, combined parameters, and structural parameters.
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ISSN:1387-2532
1573-7454
DOI:10.1007/s10458-023-09610-z