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Related papers: Pair approximation for the $q$-voter model with in…

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We study opinion dynamics over a directed multilayer network. In particular, we consider networks in which the impact of neighbors of agents on their opinions is proportional to their in-degree. Agents update their opinions over time to…

Physics and Society · Physics 2024-07-26 Amirreza Talebi

Different voters behave differently, different governments make different decisions, or different organizations are ruled differently. Many research questions important to political scientists concern choice behavior, which involves dealing…

Methodology · Statistics 2020-11-06 Gerhard Tutz , Ingrid Mauerer

A wide class of binary-state dynamics on networks---including, for example, the voter model, the Bass diffusion model, and threshold models---can be described in terms of transition rates (spin-flip probabilities) that depend on the number…

Physics and Society · Physics 2013-05-08 James P. Gleeson

The voter model is a classical interacting particle system modelling how consensus is formed across a network. We analyse the time to consensus for the voter model when the underlying graph is a subcritical scale-free random graph.…

Probability · Mathematics 2020-06-02 John Fernley , Marcel Ortgiese

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…

Physics and Society · Physics 2020-07-15 Nicolas Saintier , Juan Pablo Pinasco , Federico Vazquez

We introduce a new agent-based model of opinion dynamics in which binary opinions (yes/no) of each agent can be measured and described regarding both pre- and post-influence at both of two levels, public and private, vis-\`a-vis the…

Physics and Society · Physics 2018-11-16 Arkadiusz Jędrzejewski , Grzegorz Marcjasz , Paul R. Nail , Katarzyna Sznajd-Weron

The diffusion of complex opinions is severely hindered in multilayer social networks by echo chambers and cognitive consistency mechanisms. We investigate Influence Maximization strategies within the 3-state multilayer q-voter model.…

Social and Information Networks · Computer Science 2026-02-23 Igor Hołowacz , Piotr Bródka

The linear threshold model (LTM) has been used to study spread on single-layer networks defined by one inter-agent sensing modality and agents homogeneous in protocol. We define and analyze the heterogeneous multiplex LTM to study spread on…

Optimization and Control · Mathematics 2020-08-12 Yaofeng Desmond Zhong , Vaibhav Srivastava , Naomi Ehrich Leonard

We introduce an heterogeneous nonlinear $q$-voter model with zealots and two types of susceptible voters, and study its non-equilibrium properties when the population is finite and well mixed. In this two-opinion model, each individual…

Physics and Society · Physics 2016-03-10 Andrew Mellor , Mauro Mobilia , R. K. P. Zia

The personalization of our news consumption on social media has a tendency to reinforce our pre-existing beliefs instead of balancing our opinions. This finding is a concern for the health of our democracies which rely on an access to…

Social and Information Networks · Computer Science 2019-06-04 Ruben Becker , Federico Corò , Gianlorenzo D'Angelo , Hugo Gilbert

We propose the multidimensional social compass model, based on two competing key ingredients: DeGroot learning, driven by the social influence exerted across multiple topics, and the preference of individuals to maintain their initial…

Physics and Society · Physics 2025-03-05 Jaume Ojer , Michele Starnini , Romualdo Pastor-Satorras

We study the effects of free will and massive opinion of multi-agents in a majority rule model wherein the competition of the two types of opinions is taken into account. To address this issue, we consider two specific models (model I and…

Physics and Society · Physics 2008-07-30 Zhi-Xi Wu , Guanrong Chen

This work deals with the power allocation problem in a multipoint-to-multipoint network, which is heterogenous in the sense that each transmit and receiver pair can arbitrarily choose whether to selfishly maximize its own rate or energy…

Information Theory · Computer Science 2016-11-17 Ivan Stupia , Luca Sanguinetti , Giacomo Bacci , Luc Vandendorpe

In public opinion studies, the relationships between opinions on different topics are likely to shift based on the characteristics of the respondents. Thus, understanding the complexities of public opinion requires methods that can account…

We study how the opinions of a group of individuals determine their spatial distribution and connectivity, through an agent-based model. The interaction between agents is described by a Potts-like Hamiltonian in which agents are allowed to…

Physics and Society · Physics 2014-03-28 Sergio Davis , Yasmín Navarrete , Gonzalo Gutiérrez

We study multidimensional opinion dynamics under confirmation bias in social networks. Each agent holds a vector of correlated opinions across multiple topic layers. Peer interaction is modeled through a static, informationally symmetric…

Systems and Control · Electrical Eng. & Systems 2026-03-24 M. Hossein Abedinzadeh , Emrah Akyol

This paper studies a general class of stochastic population processes in which agents interact with one another over a network. Agents update their behaviors in a random and decentralized manner according to a policy that depends only on…

Probability · Mathematics 2023-07-21 Anirudh Sridhar , Soummya Kar

We compare two versions of the nonlinear $q$-voter model: the original one, with annealed randomness, and the modified one, with quenched randomness. In the original model, each voter changes its opinion with a certain probability…

Physics and Society · Physics 2020-04-17 Arkadiusz Jędrzejewski , Katarzyna Sznajd-Weron

We study the transition between layer-localized and delocalized regimes in a general contact-based contagion model on multiplex networks. Using the inverse participation ratio, we characterize how activity shifts from being confined to a…

Physics and Society · Physics 2025-10-21 Joan Hernàndez Tey , Emanuele Cozzo

The order-disorder phase transition is a fascinating phenomenon in opinion dynamics models within sociophysics. This transition emerges due to noise parameters, interpreted as social behaviors such as anticonformity and independence…

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