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We study the computational complexity of controlling the result of an election by breaking ties strategically. This problem is equivalent to the problem of deciding the winner of an election under parallel universes tie-breaking. When the…

Artificial Intelligence · Computer Science 2014-05-30 Nicholas Mattei , Nina Narodytska , Toby Walsh

We study consensus processes on the complete graph of $n$ nodes. Initially, each node supports one from up to n opinions. Nodes randomly and in parallel sample the opinions of constant many nodes. Based on these samples, they use an update…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-02-17 Petra Berenbrink , Andrea Clementi , Robert Elsässer , Peter Kling , Frederik Mallmann-Trenn , Emanuele Natale

Integrity of elections is vital to democratic systems, but it is frequently threatened by malicious actors. The study of algorithmic complexity of the problem of manipulating election outcomes by changing its structural features is known as…

Computer Science and Game Theory · Computer Science 2020-07-21 Andrew Estornell , Sanmay Das , Edith Elkind , Yevgeniy Vorobeychik

We propose a Condorcet consistent voting method that we call Split Cycle. Split Cycle belongs to the small family of known voting methods satisfying the anti-vote-splitting criterion of independence of clones. In this family, only Split…

Computer Science and Game Theory · Computer Science 2023-11-30 Wesley H. Holliday , Eric Pacuit

Election systems based on scores generally determine the winner by computing the score of each candidate and the winner is the candidate with the best score. It would be natural to expect that computing the winner of an election is at least…

Computer Science and Game Theory · Computer Science 2019-11-21 Zack Fitzsimmons , Edith Hemaspaandra

The content-oblivious model, introduced by Censor-Hillel, Cohen, Gelles, and Sel (PODC 2022; Distributed Computing 2023), captures an extremely weak form of communication where nodes can only send asynchronous, content-less pulses.…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-01 Yi-Jun Chang , Lyuting Chen , Haoran Zhou

We explore the Declination, a new metric intended to detect partisan gerrymandering. We consider instances in which each district has equal turnout, the maximum turnout to minimum turnout is bounded, and turnout is unrestricted. For each of…

Physics and Society · Physics 2018-12-17 Marion Campisi , Andrea Padilla , Thomas C. Ratliff , Ellen Veomett

We address the Leader Election (LE) problem in networks of anonymous sensors sharing no kind of common coordinate system. Leader Election is a fundamental symmetry breaking problem in distributed computing. Its goal is to assign value 1…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-02-22 Yoann dieudonné , Florence Levé , Franck Petit , Vincent Villain

The computational study of elections generally assumes that the preferences of the electorate come in as a list of votes. Depending on the context, it may be much more natural to represent the list succinctly, as the distinct votes of the…

Computer Science and Game Theory · Computer Science 2021-06-25 Zack Fitzsimmons , Edith Hemaspaandra

Collusion occurs when multiple malicious participants of a distributed protocol work together to sabotage or spy on honest participants. Decentralized protocols often rely on a subset of participants called workers for critical operations.…

Cryptography and Security · Computer Science 2022-06-16 Matthieu Bettinger , Lucas Barbero , Omar Hasan

We consider a family of binary triangular arrays, called approval ballot triangles (ABTs), that are in bijection with totally symmetric self-complementary plane partitions (TSSCPPs). These triangles correspond to a ballot process in which…

Combinatorics · Mathematics 2026-01-22 Andrew Beveridge , Ian Calaway

Leader Election is an important primitive for programmable matter, since it is often an intermediate step for the solution of more complex problems. Although the leader election problem itself is well studied even in the specific context of…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-19 Jérémie Chalopin , Shantanu Das , Maria Kokkou

The voter model is a classical interacting particle system, modelling how global consensus is formed by local imitation. We analyse the time to consensus for a particular family of voter models when the underlying structure is a scale-free…

Probability · Mathematics 2024-01-11 John Fernley

We study the complexity of deciding whether there is a tie in a given approval-based multiwinner election, as well as the complexity of counting tied winning committees. We consider a family of Thiele rules, their greedy variants,…

Computer Science and Game Theory · Computer Science 2023-05-04 Łukasz Janeczko , Piotr Faliszewski

The study of the number of collisions in a Poisson-Dirichlet coalescent leads to the analysis of the following version of a stochastic leader-elec\-tion algorithm. Consider an infinite family of persons, labeled by $1,2,3,\ldots$, who…

Probability · Mathematics 2016-11-15 Gerold Alsmeyer , Zakhar Kabluchko , Alexander Marynych

We introduce the model of line-up elections which captures parallel or sequential single-winner elections with a shared candidate pool. The goal of a line-up election is to find a high-quality assignment of a set of candidates to a set of…

Computer Science and Game Theory · Computer Science 2020-07-10 Niclas Boehmer , Robert Bredereck , Piotr Faliszewski , Andrzej Kaczmarczyk , Rolf Niedermeier

We study computational problems for two popular parliamentary voting procedures: the amendment procedure and the successive procedure. While finding successful manipulations or agenda controls is tractable for both procedures, our…

Computer Science and Game Theory · Computer Science 2015-09-09 Robert Bredereck , Jiehua Chen , Rolf Niedermeier , Toby Walsh

We use Hotelling's spatial model of competition to investigate the position-taking behaviour of political candidates under a class of electoral systems known as scoring rules. In a scoring rule election, voters rank all the candidates…

Computer Science and Game Theory · Computer Science 2013-01-03 Dodge Cahan , John McCabe-Dansted , Arkadii Slinko

This paper shows that the recent approach to quantitative typing systems for programming languages can be extended to pattern matching features. Indeed, we define two resource aware type systems, named U and E, for a lambda-calculus…

Logic in Computer Science · Computer Science 2019-12-05 Sandra Alves , Delia Kesner , Daniel Ventura

Leader-based consensus protocols must undergo a view-change phase to elect a new leader when the current leader fails. The new leader is often decided upon a candidate server that collects votes from a quorum of servers. However,…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-02-22 Gengrui Zhang , Hans-Arno Jacobsen
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