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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

In multiwinner approval elections with many candidates, voters may struggle to determine their preferences over the entire slate of candidates. It is therefore of interest to explore which (if any) fairness guarantees can be provided under…

Computer Science and Game Theory · Computer Science 2025-10-14 Drew Springham , Edith Elkind , Bart de Keijzer , Maria Polukarov

The election control problem through social influence asks to find a set of nodes in a social network of voters to be the starters of a political campaign aiming at supporting a given target candidate. Voters reached by the campaign change…

Social and Information Networks · Computer Science 2020-07-14 Mohammad Abouei Mehrizi , Federico Corò , Emilio Cruciani , Gianlorenzo D'Angelo

Consider an election between k candidates in which each voter votes randomly (but not necessarily independently) and suppose that there is a single candidate that every voter prefers (in the sense that each voter is more likely to vote for…

Probability · Mathematics 2012-05-31 Joe Neeman

The margin of victory of an election is a useful measure to capture the robustness of an election outcome. It also plays a crucial role in determining the sample size of various algorithms in post election audit, polling etc. In this work,…

Artificial Intelligence · Computer Science 2015-05-05 Palash Dey , Y. Narahari

We introduce a single-winner perspective on voting on matchings, in which voters have preferences over possible matchings in a graph, and the goal is to select a single collectively desirable matching. Unlike in classical matching problems,…

Computer Science and Game Theory · Computer Science 2026-01-28 Niclas Boehmer , Jessica Dierking

We investigate the practical aspects of computing the necessary and possible winners in elections over incomplete voter preferences. In the case of the necessary winners, we show how to implement and accelerate the polynomial-time algorithm…

Computer Science and Game Theory · Computer Science 2020-05-15 Vishal Chakraborty , Theo Delemazure , Benny Kimelfeld , Phokion G. Kolaitis , Kunal Relia , Julia Stoyanovich

We present an alternative voting system that aims at bridging the gap between proportional representative systems and majoritarian, single winner election systems. The system lets people vote for multiple parties, but then assigns each…

Computer Science and Game Theory · Computer Science 2016-12-01 Pietro Speroni di Fenizio , Daniele A. Gewurz

We study the voting problem with two alternatives where voters' preferences depend on a not-directly-observable state variable. While equilibria in the one-round voting mechanisms lead to a good decision, they are usually hard to compute…

Computer Science and Game Theory · Computer Science 2025-05-16 Qishen Han , Grant Schoenebeck , Biaoshuai Tao , Lirong Xia

Elections where electors rank the candidates (or a subset of the candidates) in order of preference allow the collection of more information about the electors' intent. The most widely used election of this type is Instant-Runoff Voting…

Computers and Society · Computer Science 2023-12-06 Michelle Blom , Peter J. Stuckey , Vanessa Teague , Damjan Vukcevic

We study the computational complexity of candidate control in elections with few voters, that is, we consider the parameterized complexity of candidate control in elections with respect to the number of voters as a parameter. We consider…

Artificial Intelligence · Computer Science 2017-03-21 Jiehua Chen , Piotr Faliszewski , Rolf Niedermeier , Nimrod Talmon

We study the properties of elections that have a given position matrix (in such elections each candidate is ranked on each position by a number of voters specified in the matrix). We show that counting elections that generate a given…

Computer Science and Game Theory · Computer Science 2023-03-10 Niclas Boehmer , Jin-Yi Cai , Piotr Faliszewski , Austen Z. Fan , Łukasz Janeczko , Andrzej Kaczmarczyk , Tomasz Wąs

Despite extensive theoretical research on proportionality in approval-based multiwinner voting, its impact on which committees and candidates can be selected in practice remains poorly understood. We address this gap by (i) analyzing the…

Computer Science and Game Theory · Computer Science 2025-11-13 Niclas Boehmer , Lara Glessen , Jannik Peters

We present novel methods for predicting the outcome of large elections. Our first algorithm uses a diffusion process to model the time uncertainty inherent in polls taken with substantial calendar time left to the election. Our second model…

Applications · Statistics 2017-04-25 Dhruv Madeka

We consider the approval-based model of elections, and undertake a computational study of voting rules which select committees whose size is not predetermined. While voting rules that output committees with a predetermined number of winning…

Computer Science and Game Theory · Computer Science 2017-11-20 Piotr Faliszewski , Arkadii Slinko , Nimrod Talmon

The election is a classical problem in distributed algorithmic. It aims to design and to analyze a distributed algorithm choosing a node in a graph, here, in a tree. In this paper, a class of randomized algorithms for the election is…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-07-20 Jean-François Marckert , Nasser Saheb-Djahromi , Akka Zemmari

Consider $2k-1$ voters, each of which has a preference ranking between $n$ given alternatives. An alternative $A$ is called a Condorcet winner, if it wins against every other alternative $B$ in majority voting (meaning that for every other…

Theoretical Economics · Economics 2022-03-28 Lisa Sauermann

We resolve a long-standing open question, about the existence of a constant-factor approximation algorithm for the average-case \textsc{Decision Tree} problem with uniform probability distribution over the hypotheses. We answer the question…

Data Structures and Algorithms · Computer Science 2026-04-29 Michał Szyfelbein

Majority vote is a basic method for amplifying correct outcomes that is widely used in computer science and beyond. While it can amplify the correctness of a quantum device with classical output, the analogous procedure for quantum output…

Quantum Physics · Physics 2022-11-22 Harry Buhrman , Noah Linden , Laura Mančinska , Ashley Montanaro , Maris Ozols

In majority voting dynamics, a group of $n$ agents in a social network are asked for their preferred candidate in a future election between two possible choices. At each time step, a new poll is taken, and each agent adjusts their vote…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-09-06 Diego Maldonado , Pedro Montealegre , Martín Ríos-Wilson , Guillaume Theyssier