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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 well-known Condorcet Jury Theorem states that, under majority rule, the better of two alternatives is chosen with probability approaching one as the population grows. We study an asymmetric setting where voters face varying…

Computer Science and Game Theory · Computer Science 2025-10-22 Reshef Meir , Ganesh Ghalme

Election rules are formal processes that aggregate voters preferences, typically to select a single candidate, called the winner. Most of the election rules studied in the literature require the voters to rank the candidates from the most…

Data Structures and Algorithms · Computer Science 2019-01-31 Matthias Bentert , Piotr Skowron

Quality assurance remains a key topic in human computation research. Prior work indicates that majority voting is effective for low difficulty tasks, but has limitations for harder tasks. This paper explores two methods of addressing this…

Social and Information Networks · Computer Science 2012-04-17 Yu-An Sun , Christopher Dance

With historic misses in the 2016 and 2020 US Presidential elections, interest in measuring polling errors has increased. The most common method for measuring directional errors and non-sampling excess variability during a postmortem for an…

Applications · Statistics 2023-02-21 Graham Tierney , Alexander Volfovsky

We study low sample complexity mechanisms in participatory budgeting (PB), where each voter votes for a preferred allocation of funds to various projects, subject to project costs and total spending constraints. We analyze the distortion…

Computer Science and Game Theory · Computer Science 2023-06-27 Mohak Goyal , Sukolsak Sakshuwong , Sahasrajit Sarmasarkar , Ashish Goel

This paper considers a two-color, single-draw urn model with two types of balls, denoted type $1$ and type $2$, with initial counts $Y^1_0\in N^+$ and $Y^2_0\in N^+$, respectively. At each discrete time step, a ball is drawn uniformly at…

Probability · Mathematics 2026-05-27 Jianan Shi , Qing Yin , Yu Miao

We study the design of voting rules in the metric distortion framework. It is known that any deterministic rule suffers distortion of at least $3$, and that randomized rules can achieve distortion strictly less than $3$, often at the cost…

Computer Science and Game Theory · Computer Science 2026-02-10 Ziyi Cai , D. D. Gao , Prasanna Ramakrishnan , Kangning Wang

We study the problem of minimizing metric distortion in multi-winner elections, where a committee of size $k$ is selected from a set of candidates based on voters' ordinal preferences. We assume that voters and candidates are embedded on a…

Computer Science and Game Theory · Computer Science 2026-02-18 Negar Babashah , Hasti Karimi , Masoud Seddighin , Golnoosh Shahkarami

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

How often will elections end in landslides? What is the probability for a head-to-head race? Analyzing ballot results from several large countries rather anomalous and yet unexplained distributions have been observed. We identify tactical…

Physics and Society · Physics 2010-09-17 Nuno A. M. Araújo , José S. Andrade , Hans J. Herrmann

We conjecture that Borda count is the ranked choice voting method that best preserves the outcome of an election with randomly corrupted votes, among all fair voting methods with small influences satisfying the Condorcet Loser Criterion.…

Computer Science and Game Theory · Computer Science 2022-09-23 Steven Heilman

In boosting, we aim to leverage multiple weak learners to produce a strong learner. At the center of this paradigm lies the concept of building the strong learner as a voting classifier, which outputs a weighted majority vote of the weak…

Machine Learning · Computer Science 2024-12-23 Arthur da Cunha , Kasper Green Larsen , Martin Ritzert

In a well-calibrated risk prediction model, the average predicted probability is close to the true event rate for any given subgroup. Such models are reliable across heterogeneous populations and satisfy strong notions of algorithmic…

Machine Learning · Computer Science 2023-07-31 Jean Feng , Alexej Gossmann , Romain Pirracchio , Nicholas Petrick , Gene Pennello , Berkman Sahiner

The number of votes correlates strongly with the money spent in a campaign, but the relation between the two is not straightforward. Among other factors, the output of a ballot depends on the number of candidates, voters, and available…

Physics and Society · Physics 2020-07-01 H. P. M. Melo , N. A. M. Araujo , J. S. Andrade

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

Committee decisions are complicated by a deadline, e.g., the next start of a budget, or the beginning of a semester. In committee hiring decisions, it may be that if no candidate is supported by a strong majority, the default is to hire no…

Computers and Society · Computer Science 2024-01-09 Marina Bannikova , Lihi Dery , Svetlana Obraztsova , Zinovi Rabinovich , Jeffrey S. Rosenschein

We study two-player constant-sum Bayesian games with type-independent payoffs. Under a "completeness" statistical condition, any "identifiable'" equilibrium is an ex-post equilibrium. We apply this result to a Downsian election in which…

Theoretical Economics · Economics 2025-12-22 Navin Kartik , Francesco Squintani , Katrin Tinn

How can we probabilistically predict the winner in a ranked-choice election without all ballots being counted? In this study, we introduce a novel algorithm designed to predict outcomes in Instant Runoff Voting (IRV) elections. The…

Computers and Society · Computer Science 2024-05-16 Nicholas Kapoor , P. Christopher Staecker

We consider the distributed single-winner metric voting problem on a line, where agents and alternative are represented by points on the line of real numbers, the agents are partitioned into disjoint districts, and the goal is to choose a…

Computer Science and Game Theory · Computer Science 2023-01-05 Alexandros A. Voudouris