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Related papers: Voting in Two-Crossing Elections

200 papers

We study two-stage committee elections where voters have dynamic preferences over candidates; at each stage, a committee is chosen under a given voting rule. We are interested in identifying a winning committee for the second stage that…

Computer Science and Game Theory · Computer Science 2024-08-21 Valentin Zech , Niclas Boehmer , Edith Elkind , Nicholas Teh

In 1876, Lewis Carroll proposed a voting system in which the winner is the candidate who with the fewest changes in voters' preferences becomes a Condorcet winner---a candidate who beats all other candidates in pairwise majority-rule…

Computational Complexity · Computer Science 2007-05-23 Edith Hemaspaandra , Lane A. Hemaspaandra , Joerg Rothe

The Skating System, which originated from the scrutineering system in dance sport tournaments, can be formulated as a voting system: We introduce and formalize the Skating System Single (SkS, for short), a new voting system embedded into…

Computer Science and Game Theory · Computer Science 2025-12-01 Laryssa Horn , Paul Nüsken , Jörg Rothe , Tessa Seeger

We study the election control problem with multi-votes, where each voter can present a single vote according different views (or layers, we use "layer" to represent "view"). For example, according to the attributes of candidates, such as:…

Computational Complexity · Computer Science 2023-07-03 Fengbo Wang , Aizhong Zhou , Jianliang Xu

A "repeat voting" procedure is proposed, whereby voting is carried out in two identical rounds. Every voter can vote in each round, the results of the first round are made public before the second round, and the final result is determined…

Theoretical Economics · Economics 2022-11-30 Sergiu Hart

We characterize the class of committee scoring rules that satisfy the fixed-majority criterion. In some sense, the committee scoring rules in this class are multiwinner analogues of the single-winner Plurality rule, which is uniquely…

Computer Science and Game Theory · Computer Science 2016-03-01 Piotr Faliszewski , Piotr Skowron , Arkadii Slinko , Nimrod Talmon

The traditional election control problem focuses on the use of control to promote a single candidate. In parliamentary elections, however, the focus shifts: voters care no less about the overall governing coalition than the individual…

Computer Science and Game Theory · Computer Science 2025-03-07 Hodaya Barr , Eden Hartman , Yonatan Aumann , Sarit Kraus

Scoring protocols are a broad class of voting systems. Each is defined by a vector $(\alpha_1,\alpha_2,...,\alpha_m)$, $\alpha_1 \geq \alpha_2 \geq >... \geq \alpha_m$, of integers such that each voter contributes $\alpha_1$ points to…

Computer Science and Game Theory · Computer Science 2007-05-23 Edith Hemaspaandra , Lane A. Hemaspaandra

Electoral control types are ways of trying to change the outcome of elections by altering aspects of their composition and structure [BTT92]. We say two compatible (i.e., having the same input types) control types that are about the same…

Computer Science and Game Theory · Computer Science 2025-11-12 Benjamin Carleton , Michael C. Chavrimootoo , Lane A. Hemaspaandra , David E. Narváez , Conor Taliancich , Henry B. Welles

Candidate control of elections is the study of how adding or removing candidates can affect the outcome. However, the traditional study of the complexity of candidate control is in the model in which all candidates and votes are known up…

Computer Science and Game Theory · Computer Science 2016-06-20 Edith Hemaspaandra , Lane A. Hemaspaandra , Joerg Rothe

In this paper, we experimentally compare major approval-based multiwinner voting rules. To this end, we define a measure of similarity between two equal-sized committees subject to a given election. Using synthetic elections coming from…

Computer Science and Game Theory · Computer Science 2024-01-23 Piotr Faliszewski , Martin Lackner , Krzysztof Sornat , Stanisław Szufa

The assumption that voters' preferences share some common structure is a standard way to circumvent NP-hardness results in social choice problems. While the Kemeny ranking problem is NP-hard in the general case, it is known to become easy…

Discrete Mathematics · Computer Science 2022-06-13 Bruno Escoffier , Olivier Spanjaard , Magdaléna Tydrichová

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…

Data Structures and Algorithms · Computer Science 2024-01-22 Lisa Hellerstein , Naifeng Liu , Kevin Schewior

We study a model of temporal voting where there is a fixed time horizon, and at each round the voters report their preferences over the available candidates and a single candidate is selected. Prior work has adapted popular notions of…

Computer Science and Game Theory · Computer Science 2025-02-11 Edith Elkind , Svetlana Obraztsova , Jannik Peters , Nicholas Teh

In real-world elections where voters cast preference ballots, voters often provide only a partial ranking of the candidates. Despite this empirical reality, prior social choice literature frequently analyzes fairness criteria under the…

General Economics · Economics 2024-08-08 Adam Graham-Squire , Matthew I. Jones , David McCune

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…

Computer Science and Game Theory · Computer Science 2017-04-19 Luis Sánchez-Fernández , Edith Elkind , Martin Lackner

Distributed voting is a fundamental topic in distributed computing. In pull voting, in each step every vertex chooses a neighbour uniformly at random, and adopts its opinion. The voting is completed when all vertices hold the same opinion.…

Data Structures and Algorithms · Computer Science 2016-11-02 Colin Cooper , Robert Elsässer , Tomasz Radzik

We propose a simple method for combining together voting rules that performs a run-off between the different winners of each voting rule. We prove that this combinator has several good properties. For instance, even if just one of the base…

Artificial Intelligence · Computer Science 2012-03-15 Nina Narodytska , Toby Walsh , Lirong Xia

Voting is a simple mechanism to aggregate the preferences of agents. Many voting rules have been shown to be NP-hard to manipulate. However, a number of recent theoretical results suggest that this complexity may only be in the worst-case…

Artificial Intelligence · Computer Science 2009-05-25 Toby Walsh

Control and manipulation are two of the most studied types of attacks on elections. In this paper, we study the complexity of control attacks on elections in which there are manipulators. We study both the case where the "chair" who is…

Computer Science and Game Theory · Computer Science 2017-06-09 Zack Fitzsimmons , Edith Hemaspaandra , Lane A. Hemaspaandra