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We proposed a model of interacting market agents based on the Ising spin model. The agents can take three actions: "buy," "sell," or "stay inactive." We defined a price evolution in terms of the system magnetization. The model reproduces…

Statistical Finance · Quantitative Finance 2008-12-02 Paweł Sieczka , Janusz A. Hołyst

We consider a coupled system mimicking opinion formation under the influence of a group of $q$ neighbors ($q$-lobby) that consists of an Ising part governed by temperature-like parameter $T$ and a voter dynamics parameterized by noise…

Statistical Mechanics · Physics 2025-09-03 Anna Chmiel , Julian Sienkiewicz

We consider a kinetic model of opinion dynamics known as the Biswas-Chatterjee-Sen model with a modular interaction structure. The system consists of two groups of agents that feature more frequent interactions within each group and rarer…

Physics and Society · Physics 2024-11-28 Krzysztof Suchecki , Kathakali Biswas , Janusz A. Hołyst , Parongama Sen

We propose and study a stochastic binary opinion model where agents in a group are considered to hold an opinion of 0 or 1 at each moment. An agent in the group updates his/her opinion based on the group's opinion configuration and his/her…

Physics and Society · Physics 2022-12-27 Serap Tay Stamoulas , Muruhan Rathinam

This paper proposes a conditional Curie-Weiss model as a model for opinion formation in a society polarized along two opinions, say opinions 1 and 2. The model comes with interaction strength $\beta>0$ and bais $h$. Here the population in…

Probability · Mathematics 2016-08-29 Alex A. Opoku , Kwame Owusu Edusei , Richard Ansah

This paper investigates how interacting agents arrive to a consensus or a polarized state. We study the opinion formation process under the effect of a global steering mechanism (GSM), which aggregates the opinion-driven stochastic agent…

Social and Information Networks · Computer Science 2023-11-03 Ivan Conjeaud , Philipp Lorenz-Spreen , Argyris Kalogeratos

The cognitive process of opinion formation is often characterized by stubbornness or resistance of agents to changes of opinion. To capture such a feature we introduce a constant latency time in the standard voter model of opinion dynamics:…

Physics and Society · Physics 2024-08-27 Giovanni Palermo , Anna Mancini , Antonio Desiderio , Riccardo Di Clemente , Giulio Cimini

We here propose a model to simulate the process of opinion formation, which accounts for the mutual affinity between interacting agents. Opinion and affinity evolve self-consistently, manifesting a highly non trivial interplay. A continuous…

Physics and Society · Physics 2009-09-29 Franco Bagnoli , Timoteo Carletti , Duccio Fanelli , Alessio Guarino , Andrea Guazzini

We introduce an agent-based model for co-evolving opinion and social dynamics, under the influence of multiplicative noise. In this model, every agent is characterized by a position in a social space and a continuous opinion state variable.…

Dynamical Systems · Mathematics 2022-10-05 Natasa Djurdjevac Conrad , Jonas Köppl , Ana Djurdjevac

We investigate, through a kinetic-exchange model, the impact that an external field, like advertising and propaganda, has on opinion dynamics. We address the situations where two opposite alternatives can be selected but the possibility of…

Statistical Mechanics · Physics 2020-04-22 Francisco Freitas , Allan R. Vieira , Celia Anteneodo

Polarization is a problem in modern society. Understanding how opinions evolve through social interactions is crucial for addressing conditions that lead to polarization, consensus, or opinion diversity. Classical opinion dynamics models…

Physics and Society · Physics 2026-03-06 Brian Mintz , Daniel Simonson , Dominik Wodarz , Feng Fu , Natalia L. Komarova

We consider a recently introduced generalization of the Ising model in which individual spin strength can vary. The model is intended for analysis of ordering in systems comprising agents which, although matching in their binarity (i.e.,…

Statistical Mechanics · Physics 2021-09-28 Mariana Krasnytska , Bertrand Berche , Yurij Holovatch , Ralph Kenna

The existence of juxtaposed regions of distinct cultures in spite of the fact that people's beliefs have a tendency to become more similar to each other's as the individuals interact repeatedly is a puzzling phenomenon in the social…

Computational Physics · Physics 2010-11-05 Lucas R. Peres , Jose F. Fontanari

In this study the magnetization phenomenon has been investigated as a behavior of interacting elementary moments ensemble, with the help of Ising model [1] in the frame of non-extensive statistical mechanics. To investigate the physical…

Statistical Mechanics · Physics 2007-05-23 M. Karabekirogullari , F. Buyukkilic , D. Demirhan

In this work, we consider a group of n agents which interact with each other in a cooperative framework. A Laplacian-based model is proposed to govern the evolution of opinions in the group when the agents are subjected to external biases…

Systems and Control · Electrical Eng. & Systems 2024-12-30 Akshay Nagesh Kamthe , Vishnudatta Thota , Aashi Shrinate , Twinkle Tripathy

We study the d-dimensional random Ising model using a Bethe-Peierls approximation in the framework of the replica method. We take into account the correct interaction only inside replicated clusters of spins. Our ansatz is that the…

Condensed Matter · Physics 2009-10-28 M. Serva , G. Paladin

Two of the main factors shaping an individual's opinion are social coordination and personal preferences, or personal biases. To understand the role of those and that of the topology of the network of interactions, we study an extension of…

Physics and Society · Physics 2023-06-07 Filippo Zimmaro , Pierluigi Contucci , János Kertész

Opinion formation is one of the most fascinating phenomena observed in human communities, and the ability to predict and to control the dynamics of this process is interesting from the theoretical as well as practical point of view.…

Physics and Society · Physics 2022-11-23 Krzysztof Domino , Jarosław Adam Miszczak

The Sznajd model is a sociophysics model that mimics the propagation of opinions in a closed society, where the interactions favour groups of agreeing people. It is based in the Ising and Potts ferromagnetic models and although the original…

Physics and Society · Physics 2012-05-09 André M. Timpanaro , Carmen P. C. Prado

We present the result of a dual modeling of opinion network. The model complements the agent-based opinion models by attaching to the social agent (voters) network a political opinion (party) network having its own intrinsic mechanisms of…

Physics and Society · Physics 2015-06-04 Ru Wang , Qiuping Alexandre Wang