Title
Parameterized Dichotomy of Choosing Committees Based on Approval Votes in the Presence of Outliers.
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, which resolves the parameterized complexity of this problem for all subsets of the above five natural parameters considered (by showing either fixed parameter tractability or W[1]-hardness for all subsets of parameters).
Year
DOI
Venue
2017
10.1016/j.tcs.2019.03.022
AAMAS
Keywords
Field
DocType
voting,committee selection,outliers,social choice,parameterized complexity
Social choice theory,Parameterized complexity,Ranking,Voting,Computer science,Outlier,Artificial intelligence,Machine learning,Computational complexity theory,Approval voting
Conference
Volume
ISSN
Citations 
783
0304-3975
3
PageRank 
References 
Authors
0.39
14
3
Name
Order
Citations
PageRank
Palash Dey13813.36
Neeldhara Misra234131.42
Y. Narahari369998.97