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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

Classical power index analysis considers the individual's ability to influence the aggregated group decision by changing its own vote, where all decisions and votes are assumed to be binary. In many practical applications we have more…

Computer Science and Game Theory · Computer Science 2013-12-23 Sascha Kurz

Arrow's Theorem concerns a fundamental problem in social choice theory: given the individual preferences of members of a group, how can they be aggregated to form rational group preferences? Arrow showed that in an election between three or…

Probability · Mathematics 2021-09-27 Frederic Koehler , Elchanan Mossel

We provide a formal, simple and intuitive theory of rational decision making including sequential decisions that affect the environment. The theory has a geometric flavor, which makes the arguments easy to visualize and understand. Our…

Machine Learning · Computer Science 2012-02-10 Peter Sunehag , Marcus Hutter

The mathematical study of voting, social choice theory, has traditionally only been applicable to choices among a few predetermined alternatives, but not to open-ended decisions such as collectively selecting a textual statement. We…

Computer Science and Game Theory · Computer Science 2025-03-07 Sara Fish , Paul Gölz , David C. Parkes , Ariel D. Procaccia , Gili Rusak , Itai Shapira , Manuel Wüthrich

We propose a collective opinion formation model with a so-called confirmation bias. The confirmation bias is a psychological effect with which, in the context of opinion formation, an individual in favor of an opinion is prone to…

Physics and Society · Physics 2013-06-24 Ryosuke Nishi , Naoki Masuda

In many real world situations, collective decisions are made using voting. Moreover, scenarios such as committee or board elections require voting rules that return multiple winners. In multi-winner approval voting (AV), an agent may vote…

Computer Science and Game Theory · Computer Science 2019-05-31 Jaelle Scheuerman , Jason L. Harman , Nicholas Mattei , K. Brent Venable

When a collective decision maker presents a menu of uncertain prospects to her group members, each member's choice depends on their predictions about payoff-relevant states. In reality, however, these members hold different predictions;…

Theoretical Economics · Economics 2025-04-08 Kensei Nakamura , Shohei Yanagita

Elections involving a very large voter population often lead to outcomes that surprise many. This is particularly important for the elections in which results affect the economy of a sizable population. A better prediction of the true…

Computer Science and Game Theory · Computer Science 2018-01-31 Palash Dey , Pravesh K. Kothari , Swaprava Nath

In this paper, we study voting rules on the interval domain, where the alternatives are arranged according to an externally given strict total order and voters report intervals of this order to indicate the alternatives they support. For…

Theoretical Economics · Economics 2025-09-08 Patrick Lederer

How should one combine noisy information from diverse sources to make an inference about an objective ground truth? This frequently recurring, normative question lies at the core of statistics, machine learning, policy-making, and everyday…

Multiagent Systems · Computer Science 2020-01-29 Silviu Pitis , Michael R. Zhang

We present a model of interacting multiple choices of opinions. At each step of the process, a listener is persuaded by his/her neighbour, the lobbyist, to modify his/her opinion on two different choices of event. Whether or not the…

Physics and Society · Physics 2016-01-12 C. -I. Chou , C. -L. Ho

AI systems are often used to make or contribute to important decisions in a growing range of applications, including criminal justice, hiring, and medicine. Since these decisions impact human lives, it is important that the AI systems act…

Artificial Intelligence · Computer Science 2021-03-16 Duncan C McElfresh , Lok Chan , Kenzie Doyle , Walter Sinnott-Armstrong , Vincent Conitzer , Jana Schaich Borg , John P Dickerson

Our preferences depend on the circumstances in which we reveal them. We will introduce a dependency which allows us to illustrate the relation between the possibility of winning of particular candidates in a quantum election and the type of…

Quantum Physics · Physics 2015-05-27 Marcin Makowski , Edward W. Piotrowski

In a context where a decision has to be taken collectively by several agents, the social choice problem consists in deciding whether there exists a socially acceptable rule that aggregates the individual preferences of the agents into a…

Optimization and Control · Mathematics 2017-07-20 J. A. Crespo , J. J. Sánchez-Gabites

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

A core ethos of the Economics and Computation (EconCS) community is that people have complex private preferences and information of which the central planner is unaware, but which an appropriately designed mechanism can uncover to improve…

Computers and Society · Computer Science 2025-07-08 Nikhil Garg

Many theoretical studies of the voter model (or variations thereupon) involve order parameters that are population-averaged. While enlightening, such quantities may obscure important statistical features that are only apparent on the level…

Physics and Society · Physics 2021-06-02 Joseph W. Baron

This article investigates the fundamental factors influencing the rate and manner of Electoral participation with an economic model-based approach. In this study, the structural parameters affecting people's decision making are divided into…

General Economics · Economics 2025-10-29 Mostafa Raeisi Sarkandiz

Interest in how democracies form consensus has increased recently, with statistical physics and economics approaches both suggesting that there is convergence to a fixed point in belief networks, but with fluctuations in opinions when there…

Biological Physics · Physics 2024-05-30 Emily Dong , Sarah Marzen
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