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This paper is devoted to the application of the mathematical formalism of quantum mechanics to social (political) science. By using the quantum dynamical equations we model the process of decision making in US elections. The crucial point…

General Physics · Physics 2012-06-14 Polina Khrennikova , Andrei Khrennikov , Emmanuel Haven

When each voter rates or ranks several candidates for a single office, a strong Condorcet winner (SCW) is one who beats all others in two-way races. Among 21 electoral systems examined, 18 will sometimes make candidate X the winner even if…

Methodology · Statistics 2016-09-22 Richard B. Darlington

We analyze the evolution of political organizations using a model in which agents change their opinions via two competing mechanisms. Two agents may interact and reach consensus, and additionally, individual agents may spontaneously change…

Statistical Mechanics · Physics 2007-05-23 E. Ben-Naim

We consider the coupled dynamics of the adaption of network structure and the evolution of strategies played by individuals occupying the network vertices. We propose a computational model in which each agent plays a $n$-round Prisoner's…

Physics and Society · Physics 2007-11-05 Feng Fu , Xiaojie Chen , Lianghuan Liu , Long Wang

How can voters induce politicians to put forth more proximate (in terms of preference) as well as credible platforms (in terms of promise fulfillment) under repeated elections? Building on the work of Aragones et al. (2007), I study how…

Theoretical Economics · Economics 2025-09-11 Shiladitya Kumar

The term "diffusion of responsibility'' refers to situations in which multiple agents share responsibility for an outcome, obscuring individual accountability. This paper examines this frequently undesirable phenomenon in the context of…

Multiagent Systems · Computer Science 2025-06-10 Pavel Naumov , Jia Tao

Direct democracy is often proposed as a possible solution to the 21st-century problems of democracy. However, this suggestion clashes with the size and complexity of 21st-century societies, entailing an excessive cognitive burden on voters,…

Artificial Intelligence · Computer Science 2018-07-11 Umberto Grandi

Voting advice applications (VAAs) help millions of voters understand which political parties or candidates best align with their views. This paper explores the potential risks these applications pose to the democratic process when targeted…

Computers and Society · Computer Science 2025-05-20 Frédéric Berdoz , Dustin Brunner , Yann Vonlanthen , Roger Wattenhofer

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

We study social choice mechanisms in an implicit utilitarian framework with a metric constraint, where the goal is to minimize \textit{Distortion}, the worst case social cost of an ordinal mechanism relative to underlying cardinal…

Computer Science and Game Theory · Computer Science 2020-07-03 Brandon Fain , Ashish Goel , Kamesh Munagala , Nina Prabhu

Liquid democracy is a collective decision making paradigm which lies between direct and representative democracy. One of its main features is that voters can delegate their votes in a transitive manner such that: A delegates to B and B…

Computer Science and Game Theory · Computer Science 2019-12-20 Bruno Escoffier , Hugo Gilbert , Adèle Pass-Lanneau

We focus on the election manipulation problem through social influence, where a manipulator exploits a social network to make her most preferred candidate win an election. Influence is due to information in favor of and/or against one or…

Artificial Intelligence · Computer Science 2020-03-02 Matteo Castiglioni , Nicola Gatti , Giulia Landriani , Diodato Ferraioli

We develop a theory of distributive competition under redistricting that explains both electoral outcomes and the equilibrium allocation of policy benefits by endogenizing voter pivotality. In a multi-district model with primaries, general…

General Economics · Economics 2026-04-03 Thomas Groll , Sharyn O'Halloran

Electoral control models ways of changing the outcome of an election via such actions as adding/deleting/partitioning either candidates or voters. These actions modify an election's participation structure and aim at either making a…

Computational Complexity · Computer Science 2016-08-14 Gábor Erdélyi , Lena Piras , Jörg Rothe

We study the effect of strategic behavior in iterative voting for multiple issues under uncertainty. We introduce a model synthesizing simultaneous multi-issue voting with Meir, Lev, and Rosenschein (2014)'s local dominance theory and…

Computer Science and Game Theory · Computer Science 2023-01-24 Joshua Kavner , Reshef Meir , Francesca Rossi , Lirong Xia

Collusion occurs when multiple malicious participants of a distributed protocol work together to sabotage or spy on honest participants. Decentralized protocols often rely on a subset of participants called workers for critical operations.…

Cryptography and Security · Computer Science 2022-06-16 Matthieu Bettinger , Lucas Barbero , Omar Hasan

In this paper we examine a variant of the voter model on a dynamically changing network where agents have the option of changing their friends rather than changing their opinions. We analyse, in the context of dense random graphs, two…

Probability · Mathematics 2015-01-14 Riddhipratim Basu , Allan Sly

The probability of a given candidate winning a future election is worked out in closed form as a function of (i) the current support rates for each candidate, (ii) the relative positioning of the candidates within the political spectrum,…

Probability · Mathematics 2025-04-25 Dorje C. Brody , Tomooki Yuasa

Diffusion policies are a powerful paradigm for robotic control, but fine-tuning them with human preferences is fundamentally challenged by the multi-step structure of the denoising process. To overcome this, we introduce a Unified Markov…

Robotics · Computer Science 2026-02-03 Amitesh Vatsa , Zhixian Xie , Wanxin Jin

The American winner-take-all congressional district system empowers politicians to engineer electoral outcomes by manipulating district boundaries. Existing computational solutions mostly focus on drawing unbiased maps by ignoring political…

Computers and Society · Computer Science 2021-06-29 Wes Gurnee , David B. Shmoys
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