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During the COVID-19 pandemic, conflicting opinions on physical distancing swept across social media, affecting both human behavior and the spread of COVID-19. Inspired by such phenomena, we construct a two-layer multiplex network for the…

Social and Information Networks · Computer Science 2021-07-07 Kaiyan Peng , Zheng Lu , Vanessa Lin , Michael R. Lindstrom , Christian Parkinson , Chuntian Wang , Andrea L. Bertozzi , Mason A. Porter

We introduce a probabilistic pairwise \emph{attraction--repulsion} model for opinion dynamics on multilayer social networks, in which agents hold layer-specific states and interact through random matchings that couple multiple, time-varying…

Dynamical Systems · Mathematics 2025-12-23 Hsin-Lun Li

Consider a multiplex network formed by two layers indicating social interactions: the first layer is a friendship network and the second layer is a network of business relations. In this duplex network each pair of individuals can be…

Physics and Society · Physics 2021-12-22 Cook Hyun Kim , Minjae Jo , J. S. Lee , G. Bianconi , B. Kahng

The voter model rules are simple, with agents copying the state of a random neighbor, but they lead to non-trivial dynamics. Besides opinion processes, the model has also applications for catalysis and species competition. Inspired by the…

Physics and Society · Physics 2018-09-13 Oriol Artime , Juan Fernandez-Gracia , Jose J. Ramasco , Maxi San Miguel

A fundamental question related to innovation diffusion is how the social network structure influences the process. Empirical evidence regarding real-world influence networks is very limited. On the other hand, agent-based modeling…

Physics and Society · Physics 2015-06-17 Katarzyna Sznajd-Weron , Janusz Szwabinski , Rafal Weron , Tomasz Weron

In this paper, we propose a Boltzmann-type kinetic description of opinion formation on social networks, which takes into account a general connectivity distribution of the individuals. We consider opinion exchange processes inspired by the…

Physics and Society · Physics 2022-04-12 Nadia Loy , Matteo Raviola , Andrea Tosin

Large language models have advanced rapidly, but no single model excels in every area -- each has its strengths and weaknesses. Instead of relying on one model alone, we take inspiration from gossip protocols in distributed systems, where…

Multiagent Systems · Computer Science 2025-08-27 Saksham Arora

The Deffuant model is a spatial stochastic model for the dynamics of opinions in which individuals are located on a connected graph representing a social network and characterized by a number in the unit interval representing their opinion.…

Probability · Mathematics 2020-05-28 Nicolas Lanchier , Hsin-Lun Li

Social interactions influence people's opinions. In some situations, these interactions eventually yield a consensus opinion; in others, they can lead to opinion fragmentation and the formation of different opinion groups in the form of…

Physics and Society · Physics 2025-08-01 Lasse Mohr , Poul G. Hjorth , Mason A. Porter

The society has a multi-layered structure, where the layers represent the different contexts. To model this structure we begin with a single-layer weighted social network (WSN) model showing the Granovetterian structure. We find that when…

Physics and Society · Physics 2016-09-28 Janos Kertesz , Janos Torok , Yohsuke Murase , Hang-Hyun Jo , Kimmo Kaski

We study opinion dynamics over multiplex networks where agents interact with bounded confidence. Namely, two neighbouring individuals exchange opinions and compromise if their opinions do not differ by more than a given threshold. In…

Physics and Society · Physics 2018-01-30 Chris G. Antonopoulos , Yilun Shang

Large Language Models (LLMs) can be deployed in situations where they process positive/negative interactions with other agents. We study how this is done under the sociological framework of social balance, which explains the emergence of…

Computation and Language · Computer Science 2026-01-07 Pedro Cisneros-Velarde

We investigate opinion spreading by a threshold model in a situation where the influence of people is heterogeneously distributed. We focus on the response of the average opinion as a function between the trend between out-degree (number of…

Physics and Society · Physics 2017-07-26 Eun Lee , Petter Holme

In 2000 we proposed a sociophysics model of opinion formation, which was based on trade union maxim "United we Stand, Divided we Fall" (USDF) and latter due to Dietrich Stauffer became known as the Sznajd model (SM). The main difference…

Physics and Society · Physics 2007-05-23 Katarzyna Sznajd-Weron

All online sharing systems gather data that reflects users' collective behaviour and their shared activities. This data can be used to extract different kinds of relationships, which can be grouped into layers, and which are basic…

Social and Information Networks · Computer Science 2013-03-04 Przemyslaw Kazienko , Katarzyna Musial , Tomasz Kajdanowicz

In this paper, we address two forms of consensus for multi-agent systems with undirected, signed, weighted, and connected communication graphs, under the assumption that the agents can be partitioned into three clusters, representing the…

Systems and Control · Electrical Eng. & Systems 2021-03-09 Giulia De Pasquale , Maria Elena Valcher

Providing opinions through labeling of images, tweets, etc. have drawn immense interest in crowdsourcing markets. This invokes a major challenge of aggregating multiple opinions received from different crowd workers for deriving the final…

Human-Computer Interaction · Computer Science 2016-09-16 Sujoy Chatterjee , Anirban Mukhopadhyay , Malay Bhattacharyya

We investigate a majority-vote model on two-layer multiplex networks with community structure. In our majority-vote model, the edges on each layer encode one type of social relationship and an individual changes their opinion based on the…

Physics and Society · Physics 2022-06-29 Kaiyan Peng , Mason A. Porter

In this work, we investigate the effect of social media on the process of opinion formation in a human population. This effect is modeled as an external field in the dynamics of the two-dimensional Sznajd model with a probability P for an…

Physics and Society · Physics 2018-05-23 Kamyar Nazeri

We propose an agent-based model of collective opinion formation to study the wisdom of crowds under social influence. The opinion of an agent is a continuous positive value, denoting its subjective answer to a factual question. The wisdom…

Physics and Society · Physics 2020-08-25 Pavlin Mavrodiev , Frank Schweitzer