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Walsh [Wal10, Wal09], Davies et al. [DKNW10, DKNW11], and Narodytska et al. [NWX11] studied various voting systems empirically and showed that they can often be manipulated effectively, despite their manipulation problems being NP-hard.…

Computer Science and Game Theory · Computer Science 2015-03-20 Joerg Rothe , Lena Schend

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…

Computers and Society · Computer Science 2022-03-09 Adway Mitra

Democratic societies are built around the principle of free and fair elections, that each citizen's vote should count equal. National elections can be regarded as large-scale social experiments, where people are grouped into usually large…

Physics and Society · Physics 2013-06-28 Peter Klimek , Yuri Yegorov , Rudolf Hanel , Stefan Thurner

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

The voting process is formalized as a multistage voting model with successive alternative elimination. A finite number of agents vote for one of the alternatives each round subject to their preferences. If the number of votes given to the…

Optimization and Control · Mathematics 2018-08-01 Oleg A. Malafeyev , Denis Rylow , Irina Zaitseva , Anna Ermakova , Dmitry Shlaev

Contributing to the toolbox for interpreting election results, we evaluate the robustness of election winners to random noise. We compare the robustness of different voting rules and evaluate the robustness of real-world election winners…

Computer Science and Game Theory · Computer Science 2022-08-30 Niclas Boehmer , Robert Bredereck , Piotr Faliszewski , Rolf Niedermeier

Determining the complexity of election attack problems is a major research direction in the computational study of voting problems. The paper "Towards completing the puzzle: complexity of control by replacing, adding, and deleting…

Computer Science and Game Theory · Computer Science 2023-05-29 Zack Fitzsimmons , Edith Hemaspaandra

It is well known, by the Gibbard-Satterthwaite Theorem, that when there are more than two candidates, any non-dictatorial voting rule can be manipulated by untruthful voters. But how strong is the incentive to manipulate under different…

Computer Science and Game Theory · Computer Science 2026-02-27 Ratip Emin Berker , Vincent Conitzer , Eden Hartman , Jiayuan Liu , Caspar Oesterheld

We study the complexity of constructive bribery in the context of structured multiwinner approval elections. Given such an election, we ask whether a certain candidate can join the winning committee by adding, deleting, or swapping…

Computer Science and Game Theory · Computer Science 2024-01-23 Bartosz Kusek , Robert Bredereck , Piotr Faliszewski , Andrzej Kaczmarczyk , Dušan Knop

Polarization is a major concern for a well-functioning society. Often, mass polarization of a society is driven by polarizing political representation, even when the latter is easily preventable. The existing computational social choice…

Computer Science and Game Theory · Computer Science 2025-09-03 Chris Dong , Martin Bullinger , Tomasz Wąs , Larry Birnbaum , Edith Elkind

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

Manipulation models for electoral systems are a core research theme in social choice theory; they include bribery (unweighted, weighted, swap, shift, ...), control (by adding or deleting voters or candidates), lobbying in referenda and…

Multiagent Systems · Computer Science 2018-01-30 Dušan Knop , Martin Koutecký , Matthias Mnich

Multiwinner voting rules are used to select a small representative subset of candidates or items from a larger set given the preferences of voters. However, if candidates have sensitive attributes such as gender or ethnicity (when selecting…

Computers and Society · Computer Science 2018-06-20 L. Elisa Celis , Lingxiao Huang , Nisheeth K. Vishnoi

A key promise of democratic voting is that, by accounting for all constituents' preferences, it produces decisions that benefit the constituency overall. It is alarming, then, that all deterministic voting rules have unbounded distortion:…

Computer Science and Game Theory · Computer Science 2023-05-22 Bailey Flanigan , Ariel D. Procaccia , Sven Wang

Sequential voting rules have played a crucial role in shaping decisions within parliamentary and legislative frameworks. After observing that the existing sequential rules fail several fundamental axioms, Horan and Sprumont [2022] proposed…

Computer Science and Game Theory · Computer Science 2026-03-16 Yongjie Yang

We prove that the constructive weighted coalitional manipulation problem for the Schulze voting rule can be solved in polynomial time for an unbounded number of candidates and an unbounded number of manipulators.

Computer Science and Game Theory · Computer Science 2020-07-31 Julian Müller , Sven Kosub

The question of how people vote strategically under uncertainty has attracted much attention in several disciplines. Theoretical decision models have been proposed which vary in their assumptions on the sophistication of the voters and on…

Computer Science and Game Theory · Computer Science 2018-05-22 Roy Fairstein , Adam Lauz , Kobi Gal , Reshef Meir

The major finding, of this article, is an ensemble method, but more exactly, a novel, better ranked voting system (and other variations of it), that aims to solve the problem of finding the best candidate to represent the voters. We have…

Artificial Intelligence · Computer Science 2021-10-15 Gabriel-Claudiu Grama

We investigate the parameterized complexity of strategic behaviors in generalized scoring rules. In particular, we prove that the manipulation, control (all the 22 standard types), and bribery problems are fixed-parameter tractable for most…

Computer Science and Game Theory · Computer Science 2014-05-27 Yongjie Yang

Knockout tournaments, also known as single-elimination or cup tournaments, are a popular form of sports competitions. In the standard probabilistic setting, for each pairing of players, one of the players wins the game with a certain (a…

Data Structures and Algorithms · Computer Science 2024-12-17 Juhi Chaudhary , Hendrik Molter , Meirav Zehavi