Parameterized dichotomy of choosing committees based on approval votes in the presence of outliers

Dey, P and Misra, N and Narahari, Y (2017) Parameterized dichotomy of choosing committees based on approval votes in the presence of outliers. In: 16th International Conference on Autonomous Agents and Multiagent Systems, AAMAS 2017, 8 - 12 May 2017, Sao paulo, pp. 42-50.

PDF AAMAS_1-42-50_2017.pdf - Published Version Restricted to Registered users only Download (728kB) | Request a copy

Abstract

Approval ballots provide an opportunity for agents to make a comment about every candidate, without incurring the overhead of determining a full ranking on the set of candidates; they are very natural for many practical settings. We study the computational complexity of the committee selection problem for several approval-based voting rules in the presence of outliers. Our first result shows that outliers render the committee selection problem intractable for approval, net approval, and minisum approval voting rules. We next study the parameterized complexity of this problem with five natural parameters, namely the target score, the size of the committee (and its dual parameter namely the number of candidates outside the committee)-, and the number of outliers (and its dual parameter namely the number of non-outliers). For approval, net approval, and minisum approval voting rules, we provide a dichotomous result, whiph resolves the parameterized complexity of this problem for all subsets of the above five natural parameters considered (by showing cither FPT or Wl-hardncss for all subsets of parameters).

Item Type:	Conference Paper
Publication:	Proceedings of the International Joint Conference on Autonomous Agents and Multiagent Systems, AAMAS
Publisher:	International Foundation for Autonomous Agents and Multiagent Systems (IFAAMAS)
Additional Information:	The copyright for this article belongs to International Foundation for Autonomous Agents and Multiagent Systems (IFAAMAS).
Keywords:	Multi agent systems; Parameterization; Statistics, Committee selection; Outliers; Parameterized complexity; Social choice; Voting, Autonomous agents
Department/Centre:	Division of Electrical Sciences > Electronic Systems Engineering (Formerly Centre for Electronic Design & Technology)
Date Deposited:	25 Jul 2022 07:20
Last Modified:	25 Jul 2022 07:20
URI:	https://eprints.iisc.ac.in/id/eprint/74690

Actions (login required)

View Item