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Voting is a simple mechanism to combine together the preferences of multiple agents. Agents may try to manipulate the result of voting by mis-reporting their preferences. One barrier that might exist to such manipulation is computational…

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

We prove that it is NP-hard for a coalition of two manipulators to compute how to manipulate the Borda voting rule. This resolves one of the last open problems in the computational complexity of manipulating common voting rules. Because of…

Artificial Intelligence · Computer Science 2011-05-31 Jessica Davies , George Katsirelos , Nina Narodytska , Toby Walsh

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

Shortlisting of candidates--selecting a group of "best" candidates--is a special case of multiwinner elections. We provide the first in-depth study of the computational complexity of strategic voting for shortlisting based on the perhaps…

Multiagent Systems · Computer Science 2019-08-15 Robert Bredereck , Andrzej Kaczmarczyk , Rolf Niedermeier

For many voting rules, it is NP-hard to compute a successful manipulation. However, NP-hardness only bounds the worst-case complexity. Recent theoretical results suggest that manipulation may often be easy in practice. We study empirically…

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

The Borda voting rule is a positional scoring rule for $z$ candidates such that in each vote, the first candidate receives $z-1$ points, the second $z-2$ points and so on. The winner in the Borda rule is the candidate with highest total…

Computer Science and Game Theory · Computer Science 2020-10-08 Yiheng Shen , Pingzhong Tang , Yuan Deng

We study the complexity of candidate control in participatory budgeting elections. The goal of constructive candidate control is to ensure that a given candidate wins by either adding or deleting candidates from the election (in the…

Computer Science and Game Theory · Computer Science 2026-01-26 Piotr Faliszewski , Łukasz Janeczko , Dušan Knop , Jan Pokorný , Šimon Schierreich , Mateusz Słuszniak , Krzysztof Sornat

Schulze and ranked-pairs elections have received much attention recently, and the former has quickly become a quite widely used election system. For many cases these systems have been proven resistant to bribery, control, or manipulation,…

Computer Science and Game Theory · Computer Science 2014-06-24 Lane A. Hemaspaandra , Rahman Lavaee , Curtis Menton

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

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

Predicting the winner of an election is a favorite problem both for news media pundits and computational social choice theorists. Since it is often infeasible to elicit the preferences of all the voters in a typical prediction scenario, a…

Data Structures and Algorithms · Computer Science 2016-04-21 Arnab Bhattacharyya , Palash Dey

We study electoral campaign management scenarios in which an external party can buy votes, i.e., pay the voters to promote its preferred candidate in their preference rankings. The external party's goal is to make its preferred candidate a…

Computer Science and Game Theory · Computer Science 2010-11-29 Edith Elkind , Piotr Faliszewski

The basic idea of voting protocols is that nodes query a sample of other nodes and adjust their own opinion throughout several rounds based on the proportion of the sampled opinions. In the classic model, it is assumed that all nodes have…

Probability · Mathematics 2021-01-28 Abraham Gutierrez , Sebastian Müller , Stjepan Šebek

An electoral spoiler is usually defined as a losing candidate whose removal would affect the outcome by changing the winner. So far, spoiler effects have been analyzed primarily for single-winner electoral systems. We consider this subject…

Computer Science and Game Theory · Computer Science 2025-10-30 Daria Boratyn , Wojciech Słomczyński , Dariusz Stolicki , Stanisław Szufa

When voter preferences are known in an incomplete (partial) manner, winner determination is commonly treated as the identification of the necessary and possible winners; these are the candidates who win in all completions or at least one…

Computer Science and Game Theory · Computer Science 2020-02-24 Aviram Imber , Benny Kimelfeld

Simple games cover voting systems in which a single alternative, such as a bill or an amendment, is pitted against the status quo. A simple game or a yes-no voting system is a set of rules that specifies exactly which collections of ``yea''…

Computer Science and Game Theory · Computer Science 2008-03-05 Josep Freixas , Xavier Molinero , Martin Olsen , Maria Serna

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

Voting can abstractly model any decision-making scenario and as such it has been extensively studied over the decades. Recently, the related literature has focused on quantifying the impact of utilizing only limited information in the…

Computer Science and Game Theory · Computer Science 2020-01-07 Aris Filos-Ratsikas , Evi Micha , Alexandros A. Voudouris

We view voting rules as classifiers that assign a winner (a class) to a profile of voters' preferences (an instance). We propose to apply techniques from formal explainability, most notably abductive and contrastive explanations, to…

Artificial Intelligence · Computer Science 2024-08-27 Clément Contet , Umberto Grandi , Jérôme Mengin

We develop a model of multiwinner elections that combines performance-based measures of the quality of the committee (such as, e.g., Borda scores of the committee members) with diversity constraints. Specifically, we assume that the…

Computer Science and Game Theory · Computer Science 2017-11-23 Robert Bredereck , Piotr Faliszewski , Ayumi Igarashi , Martin Lackner , Piotr Skowron
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