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Related papers: Electing a committee with dominance constraints

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Justified representation (JR) is a standard notion of representation in multiwinner approval voting. Not only does a JR committee always exist, but previous work has also shown through experiments that the JR condition can typically be…

Computer Science and Game Theory · Computer Science 2023-06-29 Edith Elkind , Piotr Faliszewski , Ayumi Igarashi , Pasin Manurangsi , Ulrike Schmidt-Kraepelin , Warut Suksompong

Studying complexity of various bribery problems has been one of the main research focus in computational social choice. In all the models of bribery studied so far, the briber has to pay every voter some amount of money depending on what…

Computer Science and Game Theory · Computer Science 2020-12-14 Palash Dey

In the $k$-committee election problem, we wish to aggregate the preferences of $n$ agents over a set of alternatives and select a committee of $k$ alternatives that minimizes the cost incurred by the agents. While we typically assume that…

Computer Science and Game Theory · Computer Science 2025-02-07 Haripriya Pulyassary , Chaitanya Swamy

Various voting rules are based on ranking the candidates by scores induced by aggregating voter preferences. A winner (respectively, unique winner) is a candidate who receives a score not smaller than (respectively, strictly greater than)…

Computer Science and Game Theory · Computer Science 2021-02-01 Aviram Imber , Benny Kimelfeld

The study of domination in graphs has led to a variety of domination problems studied in the literature. Most of these follow the following general framework: Given a graph $G$ and an integer $k$, decide if there is a set $S$ of $k$…

Data Structures and Algorithms · Computer Science 2024-09-13 Marvin Künnemann , Mirza Redzic

The paper considers the problem of finding the number of dominant voters in two-level voting procedures. At the first stage, voting is conducted among local groups of voters, and at the second stage, the results are aggregated to form a…

Discrete Mathematics · Computer Science 2025-06-11 N. I. Shushko , D. V. Lemtyuzhnikova

Selection under category or diversity constraints is a ubiquitous and widely-applicable problem that is encountered in immigration, school choice, hiring, and healthcare rationing. These diversity constraints are typically represented by…

Computer Science and Game Theory · Computer Science 2023-02-21 Haris Aziz , Sean Morota Chu , Zhaohong Sun

In many circumstances there is a trade off between the number of voters and the time they can be given before having to make a decision since both aspects are costly. An example is the hiring of a committee with a fixed salary budget: more…

Theoretical Economics · Economics 2024-04-16 Gustaf Arrhenius , Klas Markström

Ensemble-based approaches are very effective in various fields in raising the accuracy of its individual members, when some voting rule is applied for aggregating the individual decisions. In this paper, we investigate how to find and…

Artificial Intelligence · Computer Science 2019-04-10 Attila Tiba , Andras Hajdu , Gyorgy Terdik , Henrietta Toman

The problem of electing a leader from among $n$ contenders is one of the fundamental questions in distributed computing. In its simplest formulation, the task is as follows: given $n$ processors, all participants must eventually return a…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-02-17 Dan Alistarh , Rati Gelashvili , Adrian Vladu

We consider a variant of the classical Secretary Problem. In this setting, the candidates are ranked according to some exchangeable random variable and the quest is to maximize the expected quality of the chosen aspirant. We find an upper…

Probability · Mathematics 2017-09-15 Pablo Blanc , Juan Pablo Borthagaray , Daniel Kohen , Martín Mereb

In subset selection we search for the best linear predictor that involves a small subset of variables. From a computational complexity viewpoint, subset selection is NP-hard and few classes are known to be solvable in polynomial time. Using…

Optimization and Control · Mathematics 2020-02-07 Alberto Del Pia , Santanu S. Dey , Robert Weismantel

We propose models for lobbying in a probabilistic environment, in which an actor (called "The Lobby") seeks to influence voters' preferences of voting for or against multiple issues when the voters' preferences are represented in terms of…

Computational Complexity · Computer Science 2011-03-01 Daniel Binkele-Raible , Gábor Erdélyi , Henning Fernau , Judy Goldsmith , Nicholas Mattei , Jörg Rothe

How much influence can a coordinated coalition exert in a multiwinner Top-$k$ election under a positional scoring rule? We study the maximum displacement problem: with coalition size $m$, how many of the current top-$k$ winners can be…

Computer Science and Game Theory · Computer Science 2026-01-26 Qian Guo , Yidan Hu , Rui Zhang

This paper considers the maximization of the expected maximum value of a portfolio of random variables subject to a budget constraint. We refer to this as the optimal college application problem. When each variable's cost, or each college's…

Optimization and Control · Mathematics 2022-05-10 Max Kapur , Sung-Pil Hong

A preference profile is single-peaked on a tree if the candidate set can be equipped with a tree structure so that the preferences of each voter are decreasing from their top candidate along all paths in the tree. This notion was introduced…

Computer Science and Game Theory · Computer Science 2022-01-24 Dominik Peters , Lan Yu , Hau Chan , Edith Elkind

Ranked choice voting is vulnerable to monotonicity failure - a voting failure where a candidate is cost an election due to losing voter preference or granted an election due to gaining voter preference. Despite increasing use of ranked…

Theoretical Economics · Economics 2023-10-23 Rylie Weaver

The Conditional Preference Network (CP-net) graphically represents user's qualitative and conditional preference statements under the ceteris paribus interpretation. The constrained CP-net is an extension of the CP-net, to a set of…

Artificial Intelligence · Computer Science 2021-09-28 Sultan Ahmed , Malek Mouhoub

We introduce a general framework for exploring the problem of selecting a committee of representatives with the aim of studying a networked voting rule based on a decentralized large-scale platform, which can assure a strong accountability…

Physics and Society · Physics 2018-01-17 Alexis R. Hernandez , Carlos Gracia-Lazaro , Edgardo Brigatti , Yamir Moreno

Multi-label classification is becoming increasingly ubiquitous, but not much attention has been paid to interpretability. In this paper, we develop a multi-label classifier that can be represented as a concise set of simple "if-then" rules,…

Machine Learning · Computer Science 2022-11-09 Martino Ciaperoni , Han Xiao , Aristides Gionis