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In this work an opinion formation model with heterogeneous agents is proposed. Each agent is supposed to have different power of persuasion, and besides its own level of zealotry, that is, an individual willingness to being convinced by…

Analysis of PDEs · Mathematics 2018-03-28 Mayte Pérez-Llanos , Juan Pablo Pinasco , Nicolas Saintier , Analía Silva

Can stated preferences help in counterfactual analyses of actual choice? This research proposes a novel approach to researchers who have access to both stated choices in hypothetical scenarios and actual choices. The key idea is to use…

Econometrics · Economics 2023-07-27 Romuald Meango

This work contributes to a foundational question in economic theory: how do individual-level cognitive biases interact with collective choice mechanisms? We study a setting where voters hold intrinsic preference rankings over a set of…

Theoretical Economics · Economics 2026-02-24 Federico Fioravanti , Zoi Terzopoulou

In this paper we propose to use elements of the mathematical formalism of Quantum Mechanics to capture the idea that agents' preferences, in addition to being typically uncertain, can also be indeterminate. They are determined (i.e.,…

Physics and Society · Physics 2007-09-03 Ariane Lambert-Mogiliansky , Shmuel Zamir , Herve Zwirn

I develop a rather simple agent-based model to capture a co-evolution of opinion formation, political decision making and economic outcomes. I use this model to study how societies form opinions if their members have opposing interests.…

General Economics · Economics 2021-11-19 Patrick Mellacher

The flourishing of fake news is favored by recommendation algorithms of online social networks which, based on previous users activity, provide content adapted to their preferences and so create filter bubbles. We introduce an analytically…

Physics and Society · Physics 2020-10-28 Giordano De Marzo , Andrea Zaccaria , Claudio Castellano

We study the contrarian voter model for opinion formation in a society under the influence of an external oscillating propaganda and stochastic noise. Each agent of the population can hold one of two possible opinions on a given issue…

Physics and Society · Physics 2022-08-25 M. Cecilia Gimenez , Luis Reinaudi , Federico Vazquez

We study an outcome of a vote in a population of voters exposed to an externally applied bias in favour of one of two potential candidates. The population consists of ordinary individuals, that are in majority and tend to align their…

Statistical Mechanics · Physics 2017-03-31 V. S. Dotsenko , C. Mejía-Monasterio , G. Oshanin

We propose an exactly solvable model for the dynamics of voters in a two-party system. The opinion formation process is modeled on a random network of agents. The dynamical nature of interpersonal relations is also reflected in the model,…

Physics and Society · Physics 2009-11-13 I. J. Benczik , S. Z. Benczik , B. Schmittmann , R. K. P. Zia

We consider a population of Bayesian agents who share a common prior over some finite state space and each agent is exposed to some information about the state. We ask which distributions over empirical distributions of posteriors beliefs…

Computer Science and Game Theory · Computer Science 2022-02-07 Itai Arieli , Yakov Babichenko

We introduce and study a simple model for the dynamics of voting intention in a population of agents that have to choose between two candidates. The level of indecision of a given agent is modeled by its propensity to vote for one of the…

Physics and Society · Physics 2020-01-08 Federico Vazquez , Nicolas Saintier , Juan Pablo Pinasco

We develop a model of opinion dynamics where agents in a social network seek to learn a ground truth among a set of competing hypotheses. Agents in the network form private beliefs about such hypotheses by aggregating their neighbors'…

Physics and Society · Physics 2023-07-26 Diana Riazi , Giacomo Livan

When communicating agents form opinions about a set of possible options, agreement and disagreement are both possible outcomes. Depending on the context, either can be desirable or undesirable. We show that for nonlinear opinion dynamics on…

Optimization and Control · Mathematics 2023-11-07 Anastasia Bizyaeva , Ayanna Matthews , Alessio Franci , Naomi Ehrich Leonard

Confirmation bias and peer pressure both have substantial impacts on the formation of collective decisions. Nevertheless, few attempts have been made to study how the interplay between these two mechanisms affects public opinion evolution.…

Physics and Society · Physics 2020-12-22 Longzhao Liu , Xin Wang , Shaoting Tang , Zhiming Zheng

We consider multi-agent systems where agents' preferences are aggregated via sequential majority voting: each decision is taken by performing a sequence of pairwise comparisons where each comparison is a weighted majority vote among the…

Artificial Intelligence · Computer Science 2012-04-18 Maria Pini , Francesca Rossi , Brent Venable , Toby Walsh

Can stated preferences inform counterfactual analyses of actual choice? This research proposes a novel approach to researchers who have access to both stated choices in hypothetical scenarios and actual choices, matched or unmatched. The…

Econometrics · Economics 2025-11-18 Romuald Meango , Marc Henry , Ismael Mourifie

An individual's opinion concerning political bias in the media is shaped by exogenous factors (independent analysis of media outputs) and endogenous factors (social activity, e.g. peer pressure by political allies and opponents in a…

Physics and Society · Physics 2026-03-11 Jarra Horstman , Andrew Melatos , Farhad Farokhi

Humans judge each other's actions, which at least partly functions to detect and deter cheating and to enable helpfulness in an indirect reciprocity fashion. However, most forms of judging do not only concern the action itself, but also the…

Physics and Society · Physics 2026-04-21 Marcus Krellner , The Anh Han

We consider a recent model in which agents hold opinions about each other and influence each other's opinions during random pair interactions. When the opinions are initially close, on the short term, all the opinions tend to increase over…

Physics and Society · Physics 2022-01-26 Guillaume Deffuant , Thibaut Roubin

In the classical Approximate Majority problem with two opinions there are agents with Opinion 1 and with Opinion 2. The goal is to reach consensus and to agree on the majority opinion if the bias is sufficiently large. It is well known that…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-06-13 Petra Berenbrink , Felix Biermeier , Christopher Hahn