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In this paper we extend the principle of proportional representation to rankings. We consider the setting where alternatives need to be ranked based on approval preferences. In this setting, proportional representation requires that…

计算机科学与博弈论 · 计算机科学 2016-12-06 Piotr Skowron , Martin Lackner , Markus Brill , Dominik Peters , Edith Elkind

Several elections run in the last years have been characterized by attempts to manipulate the result of the election through the diffusion of fake or malicious news over social networks. This problem has been recognized as a critical issue…

计算机科学与博弈论 · 计算机科学 2023-08-22 Vincenzo Auletta , Francesco Carbone , Diodato Ferraioli

Much of the theoretical work on strategic voting makes strong assumptions about what voters know about the voting situation. A strategizing voter is typically assumed to know how other voters will vote and to know the rules of the voting…

多智能体系统 · 计算机科学 2019-07-23 Wesley H. Holliday , Eric Pacuit

Distortion-based analysis has established itself as a fruitful framework for comparing voting mechanisms. m voters and n candidates are jointly embedded in an (unknown) metric space, and the voters submit rankings of candidates by…

计算机科学与博弈论 · 计算机科学 2019-12-17 David Kempe

Many democratic political parties hold primary elections, which nicely reflects their democratic nature and promote, among other things, the democratic value of inclusiveness. However, the methods currently used for holding such primary…

多智能体系统 · 计算机科学 2022-01-20 Ariel Rosenfeld , Ehud Shapiro , Nimrod Talmon

Here we present \texttt{electoral\_sim}, an open-source Python framework for simulating and comparing electoral systems across diverse voter preference distributions. The framework represents voters and candidates as points in a…

计算机科学与博弈论 · 计算机科学 2026-03-11 Sumit Mukherjee

We consider a social choice setting with agents that are partitioned into disjoint groups, and have metric preferences over a set of alternatives. Our goal is to choose a single alternative aiming to optimize various objectives that are…

计算机科学与博弈论 · 计算机科学 2021-07-13 Elliot Anshelevich , Aris Filos-Ratsikas , Alexandros A. Voudouris

The integrity of elections is central to democratic systems. However, a myriad of malicious actors aspire to influence election outcomes for financial or political benefit. A common means to such ends is by manipulating perceptions of the…

计算机科学与博弈论 · 计算机科学 2022-06-22 Junlin Wu , Andrew Estornell , Lecheng Kong , Yevgeniy Vorobeychik

We consider elections where both voters and candidates can be associated with points in a metric space and voters prefer candidates that are closer to those that are farther away. It is often assumed that the optimal candidate is the one…

计算机科学与博弈论 · 计算机科学 2019-01-23 Grzegorz Pierczyński , Piotr Skowron

Scoring rules are widely used to rank athletes in sports and candidates in elections. Each position in each individual ranking is worth a certain number of points; the total sum of points determines the aggregate ranking. The question is…

计算机科学与博弈论 · 计算机科学 2022-09-09 Aleksei Y. Kondratev , Egor Ianovski , Alexander S. Nesterov

We study the following metric distortion problem: there are two finite sets of points, $V$ and $C$, that lie in the same metric space, and our goal is to choose a point in $C$ whose total distance from the points in $V$ is as small as…

计算机科学与博弈论 · 计算机科学 2020-09-08 Vasilis Gkatzelis , Daniel Halpern , Nisarg Shah

The classical paradox of social choice theory asserts that there is no fair way to deterministically select a winner in an election among more than two candidates; the only definite collective preferences are between individual pairs of…

组合数学 · 数学 2012-11-05 Jennifer Iglesias , Nathaniel Ince , Po-Shen Loh

The bribery problem in election has received considerable attention in the literature, upon which various algorithmic and complexity results have been obtained. It is thus natural to ask whether we can protect an election from potential…

计算复杂性 · 计算机科学 2020-07-07 Lin Chen , Ahmed Sunny , Lei Xu , Shouhuai Xu , Zhimin Gao , Yang Lu , Weidong Shi , Nolan Shah

We develop new voting mechanisms for the case when voters and candidates are located in an arbitrary unknown metric space, and the goal is to choose a candidate minimizing social cost: the total distance from the voters to this candidate.…

人工智能 · 计算机科学 2019-06-26 Ben Abramowitz , Elliot Anshelevich , Wennan Zhu

Social choice theory offers a wealth of approaches for selecting a candidate on behalf of voters based on their reported preference rankings over options. When voters have underlying utilities for these options, however, using preference…

计算机科学与博弈论 · 计算机科学 2025-10-24 Luise Ge , Gregory Kehne , Yevgeniy Vorobeychik

The election control problem through social influence asks to find a set of nodes in a social network of voters to be the starters of a political campaign aiming at supporting a given target candidate. Voters reached by the campaign change…

社会与信息网络 · 计算机科学 2020-07-14 Mohammad Abouei Mehrizi , Federico Corò , Emilio Cruciani , Gianlorenzo D'Angelo

We prove a quantitative version of the Gibbard-Satterthwaite theorem. We show that a uniformly chosen voter profile for a neutral social choice function f of $q \ge 4$ alternatives and n voters will be manipulable with probability at least…

组合数学 · 数学 2010-04-14 Marcus Isaksson , Guy Kindler , Elchanan Mossel

By classic results in social choice theory, any reasonable preferential voting method sometimes gives individuals an incentive to report an insincere preference. The extent to which different voting methods are more or less resistant to…

人工智能 · 计算机科学 2025-02-25 Wesley H. Holliday , Alexander Kristoffersen , Eric Pacuit

We study positional voting rules when candidates and voters are embedded in a common metric space, and cardinal preferences are naturally given by distances in the metric space. In a positional voting rule, each candidate receives a score…

计算机科学与博弈论 · 计算机科学 2017-11-22 Yu Cheng , Shaddin Dughmi , David Kempe

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