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The single transferable vote (STV) is a system of preferential proportional voting employed in multi-seat elections. Each ballot cast by a voter is a (potentially partial) ranking over a set of candidates. The margin of victory, or simply…

Computer Science and Game Theory · Computer Science 2025-03-26 Michelle Blom , Alexander Ek , Peter J. Stuckey , Vanessa Teague , Damjan Vukcevic

We introduce two-crossing elections as a generalization of single-crossing elections, showing a number of new results. First, we show that two-crossing elections can be recognized in polynomial time, by reduction to the well-studied…

Computer Science and Game Theory · Computer Science 2022-06-28 Andrei Constantinescu , Roger Wattenhofer

In a party-based election system, the voters are grouped into parties and all voters of a party are assumed to vote according to the party preferences over the candidates. Hence, once the party preferences are declared the outcome of the…

Multiagent Systems · Computer Science 2014-04-10 Jiong Guo , Yash Raj Shrestha , Yongjie Yang

Electing a single committee of a small size is a classical and well-understood voting situation. Being interested in a sequence of committees, we introduce and study two time-dependent multistage models based on simple Plurality voting.…

Computational Complexity · Computer Science 2024-01-22 Robert Bredereck , Till Fluschnik , Andrzej Kaczmarczyk

Following Zhang and Grossi~(AAAI 2021), we study in more depth a variant of weighted voting games in which agents' weights are induced by a transitive support structure. This class of simple games is notably well suited to study the…

Computer Science and Game Theory · Computer Science 2022-01-25 Gianlorenzo D'Angelo , Esmaeil Delfaraz , Hugo Gilbert

We study the problem of election control through social influence when the manipulator is allowed to use the locations that she acquired on the network for sending \emph{both} positive and negative messages on \emph{multiple} candidates,…

Computer Science and Game Theory · Computer Science 2019-02-14 Matteo Castiglioni , Diodato Ferraioli , Giulia Landriani , Nicola Gatti

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…

Computer Science and Game Theory · Computer Science 2017-11-22 Yu Cheng , Shaddin Dughmi , David Kempe

We consider a two-round election model involving $m$ voters and $n$ candidates. Each voter is endowed with a strict preference list ranking the candidates. In the first round, the candidates are partitioned into two subsets, $A$ and $B$,…

Computer Science and Game Theory · Computer Science 2026-03-17 Emilio De Santis , Antonio Di Crescenzo , Verdiana Mustaro

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

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…

Computer Science and Game Theory · Computer Science 2023-08-22 Vincenzo Auletta , Francesco Carbone , Diodato Ferraioli

In the Shift Bribery problem, we are given an election (based on preference orders), a preferred candidate $p$, and a budget. The goal is to ensure that $p$ wins by shifting $p$ higher in some voters' preference orders. However, each such…

Multiagent Systems · Computer Science 2016-11-29 Robert Bredereck , Jiehua Chen , Piotr Faliszewski , André Nichterlein , Rolf Niedermeier

An important aspect of mechanism design in social choice protocols and multiagent systems is to discourage insincere and manipulative behaviour. We examine the computational complexity of false-name manipulation in weighted voting games…

Computer Science and Game Theory · Computer Science 2009-05-21 Haris Aziz , Mike Paterson

We consider a setting with agents that have preferences over alternatives and are partitioned into disjoint districts. The goal is to choose one alternative as the winner using a mechanism which first decides a representative alternative…

Computer Science and Game Theory · Computer Science 2023-01-10 Aris Filos-Ratsikas , Alexandros A. Voudouris

To choose a suitable multiwinner voting rule is a hard and ambiguous task. Depending on the context, it varies widely what constitutes the choice of an ``optimal'' subset of alternatives. In this paper, we provide a quantitative analysis of…

Multiagent Systems · Computer Science 2020-09-01 Martin Lackner , Piotr Skowron

Multi-winner voting plays a crucial role in selecting representative committees based on voter preferences. Previous research has predominantly focused on single-stage voting rules, which are susceptible to manipulation during preference…

Computer Science and Game Theory · Computer Science 2024-02-06 Shengjie Gong , Lingxiao Huang , Shuangping Huang , Yuyi Wang , Zhiqi Wang , Tao Xiao , Xiang Yan , Chunxue Yang

Complexity theory is a useful tool to study computational issues surrounding the elicitation of preferences, as well as the strategic manipulation of elections aggregating together preferences of multiple agents. We study here the…

Artificial Intelligence · Computer Science 2012-04-18 Toby Walsh

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 consider an {\em enforce operator} on impartial rulesets similar to the Muller Twist and the comply/constrain operator of Smith and St\u anic\u a, 2002. Applied to the rulesets A and B, on each turn the opponent enforces one of the…

While manipulative attacks on elections have been well-studied, only recently has attention turned to attacks that account for geographic information, which are extremely common in the real world. The most well known in the media is…

Computer Science and Game Theory · Computer Science 2020-03-17 Zack Fitzsimmons , Omer Lev

Most theoretical definitions about the complexity of manipulating elections focus on the decision problem of recognizing which instances can be successfully manipulated, rather than the search problem of finding the successful manipulative…

Computer Science and Game Theory · Computer Science 2015-03-20 Edith Hemaspaandra , Lane A. Hemaspaandra , Curtis Menton