Multiwinner voting: A new challenge for social choice theory

P Faliszewski, P Skowron, A Slinko… - … in computational social …, 2017 - books.google.com
There are many reasons why societies run elections. For example, a given society may need
to select its leader (eg, a president), members of a team may need to find an appropriate …

Structured preferences

E Elkind, M Lackner, D Peters - Trends in computational social …, 2017 - books.google.com
In a typical social choice scenario, agents rank the available alternatives and have to
collectively decide on the best alternative, or a ranking of the alternatives. If there are just …

Properties of multiwinner voting rules

E Elkind, P Faliszewski, P Skowron, A Slinko - Social Choice and Welfare, 2017 - Springer
A committee selection rule (or, multiwinner voting rule) is a mapping that takes a collection of
strict preference rankings and a positive integer k as input, and outputs one or more subsets …

Justified representation in approval-based committee voting

H Aziz, M Brill, V Conitzer, E Elkind, R Freeman… - Social Choice and …, 2017 - Springer
We consider approval-based committee voting, ie the setting where each voter approves a
subset of candidates, and these votes are then used to select a fixed-size set of winners …

[HTML][HTML] Finding a collective set of items: From proportional multirepresentation to group recommendation

P Skowron, P Faliszewski, J Lang - Artificial Intelligence, 2016 - Elsevier
We consider the following problem: There is a set of items (eg, movies) and a group of
agents (eg, passengers on a plane); each agent has some intrinsic utility for each of the …

Preference restrictions in computational social choice: A survey

E Elkind, M Lackner, D Peters - arXiv preprint arXiv:2205.09092, 2022 - arxiv.org
Social choice becomes easier on restricted preference domains such as single-peaked,
single-crossing, and Euclidean preferences. Many impossibility theorems disappear, the …

Multiwinner elections with diversity constraints

R Bredereck, P Faliszewski, A Igarashi… - Proceedings of the …, 2018 - ojs.aaai.org
We develop a model of multiwinner elections that combines performance-based measures
of the quality of the committee (such as, eg, Borda scores of the committee members) with …

[HTML][HTML] Achieving fully proportional representation: Approximability results

P Skowron, P Faliszewski, A Slinko - Artificial Intelligence, 2015 - Elsevier
We study the complexity of (approximate) winner determination under the Monroe and
Chamberlin–Courant multiwinner voting rules, which determine the set of representatives by …

Fair knapsack

T Fluschnik, P Skowron, M Triphaus, K Wilker - Proceedings of the AAAI …, 2019 - aaai.org
We study the following multiagent variant of the knapsack problem. We are given a set of
items, a set of voters, and a value of the budget; each item is endowed with a cost and each …

Structure in dichotomous preferences

E Elkind, M Lackner - arXiv preprint arXiv:1505.00341, 2015 - arxiv.org
Many hard computational social choice problems are known to become tractable when
voters' preferences belong to a restricted domain, such as those of single-peaked or single …