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Classical voting rules assume that ballots are complete preference orders over candidates. However, when the number of candidates is large enough, it is too costly to ask the voters to rank all candidates. We suggest to fix a rank k, to ask…

计算机科学与博弈论 · 计算机科学 2020-02-17 Manel Ayadi , Nahla Ben amor , Jérôme Lang

We present theoretical and empirical results demonstrating the usefulness of voting rules for participatory democracies. We first give algorithms which efficiently elicit \epsilon-approximations to two prominent voting rules: the Borda rule…

多智能体系统 · 计算机科学 2014-07-17 David Lee , Ashish Goel , Tanja Aitamurto , Helene Landemore

We introduces a general linear framework that unifies the study of multi-winner voting rules and proportionality axioms, demonstrating that many prominent multi-winner voting rules-including Thiele methods, their sequential variants, and…

计算机科学与博弈论 · 计算机科学 2025-03-06 Lirong Xia

Referring to a standard context of voting theory, and to the classic notion of voting situation, here we show that it is possible to observe any arbitrary set of elections' outcomes, no matter how paradoxical it may appear. On this purpose…

概率论 · 数学 2022-06-01 Emilio De Santis , Fabio Spizzichino

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…

物理与社会 · 物理学 2018-01-17 Alexis R. Hernandez , Carlos Gracia-Lazaro , Edgardo Brigatti , Yamir Moreno

Voting can abstractly model any decision-making scenario and as such it has been extensively studied over the decades. Recently, the related literature has focused on quantifying the impact of utilizing only limited information in the…

计算机科学与博弈论 · 计算机科学 2020-01-07 Aris Filos-Ratsikas , Evi Micha , Alexandros A. Voudouris

State-of-the-art results in typical classification tasks are mostly achieved by unexplainable machine learning methods, like deep neural networks, for instance. Contrarily, in this paper, we investigate the application of rule learning…

机器学习 · 计算机科学 2024-03-11 Albert Nössig , Tobias Hell , Georg Moser

May's Theorem (1952), a celebrated result in social choice, provides the foundation for majority rule. May's crucial assumption of symmetry, often thought of as a procedural equity requirement, is violated by many choice procedures that…

理论经济学 · 经济学 2020-09-01 Laurent Bartholdi , Wade Hann-Caruthers , Maya Josyula , Omer Tamuz , Leeat Yariv

In this paper we address the problem of electing a committee among a set of $m$ candidates and on the basis of the preferences of a set of $n$ voters. We consider the approval voting method in which each voter can approve as many candidates…

最优化与控制 · 数学 2017-07-31 Diego Ponce , Justo Puerto , Federica Ricca , Andrea Scozzari

Gerrymandering voting districts is one of the most salient concerns of contemporary American society, and the creation of new voting maps, along with their subsequent legal challenges, speaks for much of our modern political discourse. The…

物理与社会 · 物理学 2023-07-31 Casey Garner , Allen Holder

In many real world situations, collective decisions are made using voting and, in scenarios such as committee or board elections, employing voting rules that return multiple winners. In multi-winner approval voting (AV), an agent submits a…

计算机科学与博弈论 · 计算机科学 2020-12-08 Jaelle Scheuerman , Jason Harman , Nicholas Mattei , K. Brent Venable

The Possible-Winner problem asks, given an election where the voters' preferences over the set of candidates is partially specified, whether a distinguished candidate can become a winner. In this work, we consider the computational…

计算机科学与博弈论 · 计算机科学 2018-02-27 Batya Kenig

When selecting multiple candidates based on approval preferences of agents, the proportional representation of agents' opinions is an important and well-studied desideratum. Existing criteria for evaluating the representativeness of…

计算机科学与博弈论 · 计算机科学 2024-10-02 Markus Brill , Jonas Israel , Evi Micha , Jannik Peters

Motivated by the difficulty of specifying complete ordinal preferences over a large set of $m$ candidates, we study voting rules that are computable by querying voters about $t < m$ candidates. Generalizing prior works that focused on…

计算机科学与博弈论 · 计算机科学 2024-09-30 Daniel Halpern , Safwan Hossain , Jamie Tucker-Foltz

This paper considers elections in which voters choose one candidate each, independently according to known probability distributions. A candidate receiving a strict majority (absolute or relative, depending on the version) wins. After the…

数据结构与算法 · 计算机科学 2024-01-22 Lisa Hellerstein , Naifeng Liu , Kevin Schewior

Many democratic societies use district-based elections, where the region under consideration is geographically divided into districts and a representative is chosen for each district based on the preferences of the electors who reside…

计算机与社会 · 计算机科学 2022-03-09 Adway Mitra

The proportional veto principle, which captures the idea that a candidate vetoed by a large group of voters should not be chosen, has been studied for ranked ballots in single-winner voting. We introduce a version of this principle for…

计算机科学与博弈论 · 计算机科学 2025-05-05 Daniel Halpern , Ariel D. Procaccia , Warut Suksompong

Multi-winner approval elections are seen in a variety of settings ranging from academic societies and associations to public elections. In such elections, it is often the case that ballot-length restrictions are enforced; that is, where…

计算机科学与博弈论 · 计算机科学 2017-11-15 Barton E. Lee

Even though proportional representation is a fundamental goal in multiwinner voting and a plethora of proportionality notions has been introduced, the normative justifications for choosing one notion over another remain poorly understood.…

计算机科学与博弈论 · 计算机科学 2026-05-07 Chris Dong , Jannik Peters

We identify a whole family of approval-based multi-winner voting rules that satisfy PJR. Moreover, we identify a subfamily of voting rules within this family that satisfy EJR. All these voting rules can be computed in polynomial time as…

计算机科学与博弈论 · 计算机科学 2017-04-19 Luis Sánchez-Fernández , Edith Elkind , Martin Lackner