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We study a nonlinear dynamics of binary opinions in a population of agents connected by a directed network, influenced by two competing forces. On the one hand, agents are stubborn, i.e., have a tendency for one of the two opinions; on the…

社会与信息网络 · 计算机科学 2025-11-13 Federico Capannoli , Emilio Cruciani , Hlafo Alfie Mimun , Matteo Quattropani

A researcher observes a finite sequence of choices made by multiple agents in a binary-state environment. Agents maximize expected utilities that depend on their chosen alternative and the unknown underlying state. Agents learn about the…

理论经济学 · 经济学 2021-05-11 Rahul Deb , Ludovic Renou

Collective leadership and herding may arise in standard models of opinion dynamics as an interplay of a strong separation of time scales within the population and its hierarchical organization. Using the voter model as a simple opinion…

物理与社会 · 物理学 2017-07-12 Liudmila Rozanova , Marian Boguna

We study competition of two non-motile bacterial strains in a three-dimensional channel numerically, and analyze how their configuration evolves in space and time. We construct a lattice model that takes into account self-replication,…

种群与进化 · 定量生物学 2019-04-16 Takuro Shimaya , Kazumasa A. Takeuchi

We propose an opinion model based on agents located at the vertices of a regular lattice. Each agent has an independent opinion (among an arbitrary, but fixed, number of choices) and its own degree of conviction. The latter changes every…

物理与社会 · 物理学 2012-05-29 S. R. Souza , S. Goncalves

Consider the voter model on a box of side length $L$ (in the triangular lattice) with boundary votes fixed forever as type 0 or type 1 on two different halves of the boundary. Motivated by analogous questions in percolation, we study…

概率论 · 数学 2015-06-22 Mark Holmes , Yevhen Mohylevskyy , Charles M. Newman

In recent times, the research field of language dynamics has focused on the investigation of language evolution, dividing the work in three evolutive steps, according to the level of complexity: lexicon, categories and grammar. The Naming…

物理与社会 · 物理学 2013-07-08 L. Pucci , P. Gravino , V. D. P. Servedio

The voter model has been studied extensively as a paradigmatic opinion dynamics' model. However, its ability for modeling real opinion dynamics has not been addressed. We introduce a noisy voter model (accounting for social influence) with…

Aging is considered as the property of the elements of a system to be less prone to change states as they get older. We incorporate aging into the noisy voter model, a stochastic model in which the agents modify their binary state by means…

统计力学 · 物理学 2018-09-06 Oriol Artime , Antonio F. Peralta , Raúl Toral , José J. Ramasco , Maxi San Miguel

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…

物理与社会 · 物理学 2023-06-07 Filippo Zimmaro , Pierluigi Contucci , János Kertész

We consider a dynamical network model in which two competitors have fixed and different states, and each normal agent adjusts its state according to a distributed consensus protocol. The state of each normal agent converges to a steady…

物理与社会 · 物理学 2014-05-21 Jiuhua Zhao , Qipeng Liu , Xiaofan Wang

Models of ordering dynamics allow to understand natural systems in which an initially disordered population homogenizes some traits via local interactions. The simplest of these models, with wide applications ranging from evolutionary to…

统计力学 · 物理学 2009-11-12 Andrea Baronchelli , Romualdo Pastor-Satorras

We investigate the phenomena of political bi-polarization in a population of interacting agents by means of a generalized version of the model introduced in PRE E 101, 012101 (2020) for the dynamics of voting intention. Each agent has a…

物理与社会 · 物理学 2020-07-15 Nicolas Saintier , Juan Pablo Pinasco , Federico Vazquez

We consider the herding to non-herding transition caused by idiosyncratic choices or imperfect imitation in the context of the Kirman Model for financial markets, or equivalently the Noisy Voter Model for opinion formation. In these…

物理与社会 · 物理学 2019-09-19 Oriol Artime , Adrián Carro , Antonio F. Peralta , José J. Ramasco , Maxi San Miguel , Raúl Toral

We introduce a simple model of opinion dynamics in which binary-state agents evolve due to the influence of agents in a local neighborhood. In a single update step, a fixed-size group is defined and all agents in the group adopt the state…

统计力学 · 物理学 2009-11-10 M. Mobilia , S. Redner

We introduce and analyze a voter-type model on a two-layer multiplex network, where the presence of a state on one layer acts as a catalyst or inhibitor to the propagation of that state on the other layer. Despite the model's simplicity,…

适应与自组织系统 · 物理学 2026-04-08 Christian Kluge , Christian Kuehn

Changes of mind can become less likely the longer an agent has adopted a given opinion state. This resilience or inertia to change has been called ``aging''. We perform a comparative study of the effects of aging on the critical behavior of…

物理与社会 · 物理学 2024-08-01 Jaume Llabres , Sara Oliver-Bonafoux , Celia Anteneodo , Raul Toral

We introduce and study the reverse voter model, a dynamics for spin variables similar to the well-known voter dynamics. The difference is in the way neighbors influence each other: once a node is selected and one among its neighbors chosen,…

统计力学 · 物理学 2009-11-11 Claudio Castellano

I study the interplay between language competition and ideology struggle in a country where there is a native high-status language and a low-status language spoken by immigrants. Language transition is governed by a three-state model…

物理与社会 · 物理学 2016-09-09 André Barreira da Silva Rocha

We investigate a social system of agents faced with a binary choice. We assume there is a correct, or beneficial, outcome of this choice. Furthermore, we assume agents are influenced by others in making their decision, and that the agents…

种群与进化 · 定量生物学 2007-12-06 Andreas Gronlund , Petter Holme , Petter Minnhagen