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Open AccessProceedings ArticleDOI

Committee selection with multimodal preferences

TLDR
This work designs efficient algorithms for certain cases of committee selection with multimodal preferences and discusses applications of the model and the computational complexity of several generalizations of known committee scoring rules to this setting.
Abstract
We study committee selection with multimodal preferences: Assuming a set of candidatesA, a set of voters V , and ` layers, where each voter v ∈ V has ordinal preferences over the alternatives for each layer separately, the task is to select a committee S ⊆ A of size k. We discuss applications of our model and study the computational complexity of several generalizations of known committee scoring rules (specifically, k-Borda and Chamberlin–Courant) to our setting, as well as discuss domain restrictions for our model. While most problems we encounter are computationally intractable in general, we nevertheless design efficient algorithms for certain cases.

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Citations
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Proceedings ArticleDOI

Position-Based Matching with Multi-Modal Preferences

TL;DR: In this article , the authors introduce three position-based matching models, which minimize the "dissatisfaction score", which measures matchings from different perspectives, and present diverse complexity results for these three models, among others, polynomial-time solvability for the first model.
Proceedings ArticleDOI

Stable Matching with Multilayer Approval Preferences: Approvals can be Harder than Strict Preferences

TL;DR: In this paper , the complexity of stable matching problems with multilayer approval preferences was studied and eleven stability notions derived from three well-established stability notions for stable matchings with ties and four adaptions proposed by Chen et al.
Proceedings ArticleDOI

Distortion in Attribute Approval Committee Elections

TL;DR: In this article , the distortion in attribute approval committee elections is studied, where each candidate satisfies a variety of attributes in different categories (e.g., academic degree, work experience, lo-cation).
Journal ArticleDOI

Multi-votes Election Control by Selecting Rules

Aizhong Zhou, +1 more
- 30 Jun 2023 - 
TL;DR: In this paper , the authors considered a new model of election control that by assigning different rules to the votes from different layers, makes the special candidate p being the winner of the election (a rule can be assigned to different layers).
References
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Posted Content

Multiwinner Elections with Diversity Constraints

TL;DR: A model of multiwinner elections that combines performance-based measures of the quality of the committee and diversity constraints with diversity constraints is developed, obtaining polynomial-time algorithms (exact and approximate) and NP-hardness results.
Posted Content

Elections with Few Voters: Candidate Control Can Be Easy

TL;DR: In this article, the complexity of candidate control with respect to the number of voters as a parameter was studied, and it was shown that the complexity is much more varied than in the setting with many voters.
Journal ArticleDOI

Multiwinner analogues of the plurality rule: axiomatic and algorithmic perspectives

TL;DR: In this paper, the authors characterize the class of committee scoring rules that satisfy the fixed-majority criterion and show some examples of polynomial-time winner determination procedures, exact and approximate.
Proceedings Article

Elections with few voters: candidate control can be easy

TL;DR: In this paper, the computational complexity of candidate control in elections with few voters was studied, where the number of voters was taken as a parameter, and it was shown that the parameterized complexity is much more varied than in the setting with many voters.
Proceedings ArticleDOI

Stable Matching with Uncertain Pairwise Preferences

TL;DR: This work focuses on the computational problems of checking the existence of possibly and certainly stable matchings, i.e., matchings whose probability of being stable is positive or one, respectively, and shows that finding a possibly stable matching is NP-hard, even if only one side can have cyclic preferences.