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We analyze Axelrod's model of social interactions on coevolving complex networks. We introduce four extensions with different mechanisms of edge rewiring. The models are intended to catch two kinds of interactions - preferential attachment,…

Physics and Society · Physics 2018-05-03 Tomasz Raducha , Tomasz Gubiec

Models of the consensus of the individual state in social systems have been the subject of recent researches in the physics literature. We investigate how network structures coevolve with the individual state under the framework of social…

Social and Information Networks · Computer Science 2020-05-15 Kaiqi Zhang , Zinan Lv , Haifeng Du , Honghu Zou

The recent availability of huge high resolution datasets on human activities has revealed the heavy-tailed nature of the interevent time distributions. In social simulations of interacting agents the standard approach has been to use…

Physics and Society · Physics 2013-06-24 Juan Fernández-Gracia , Víctor M. Eguíluz , Maxi San Miguel

We propose a simple model of influence in a network, based on edge density. In the model vertices (people) follow the opinion of the group they belong to. The opinion percolates down from an active vertex, the influencer, at the head of the…

Discrete Mathematics · Computer Science 2023-05-15 Colin Cooper , Nan Kang , Tomasz Radzik

This paper proposes a simple model to capture the complexity of multi-layer systems where their constituent layers affect, are affected by, each other. The physical layer is a circuit composed by a power source and resistors in parallel.…

Multiagent Systems · Computer Science 2016-02-09 Florian Kühnlenz , Pedro H. J. Nardelli

We introduce a single-winner perspective on voting on matchings, in which voters have preferences over possible matchings in a graph, and the goal is to select a single collectively desirable matching. Unlike in classical matching problems,…

Computer Science and Game Theory · Computer Science 2026-01-28 Niclas Boehmer , Jessica Dierking

This paper investigates absorbing-state phase transitions in opinion dynamics through a master-node network model analyzed using annealing approximation. We develop a theoretical framework examining three fundamental regimes: systems…

Physics and Society · Physics 2025-12-29 M. O. Hase , Anderson A. Ferreira , André C. R. Martins , Fernando F. Ferreira

This article starts by introducing a new theoretical framework to model spatial systems which is obtained from the framework of interacting particle systems by replacing the traditional graphical structure that defines the network of…

Probability · Mathematics 2015-06-12 Nicolas Lanchier , Jared Neufer

We study the effect of adaptivity on a social model of opinion dynamics and consensus formation. We analyze how the adaptivity of the network of contacts between agents to the underlying social dynamics affects the size and topological…

Physics and Society · Physics 2008-05-23 Balazs Kozma , Alain Barrat

Building on previous work, this paper extends the modeling of political structures from simplicial complexes to hypergraphs. This allows the analysis of more complex political dynamics where agents who are willing to form coalitions contain…

Physics and Society · Physics 2024-04-24 Ismar Volic , Zixu Wang

We study the voter model dynamics in the presence of confidence and bias. We assume two types of voters. Unbiased voters whose confidence is indifferent to the state of the voter and biased voters whose confidence is biased towards a common…

Physics and Society · Physics 2022-08-10 Agnieszka Czaplicka , Christos Charalambous , Raul Toral , Maxi San Miguel

Non-linear voter models assume that the opinion of an agent depends on the opinions of its neighbors in a non-linear manner. This allows for voting rules different from majority voting. While the linear voter model is known to reach…

Physics and Society · Physics 2016-04-27 Frank Schweitzer , Laxmidhar Behera

We consider a discrete-time voter model process on a set of nodes, each being in one of two states, either 0 or 1. In each time step, each node adopts the state of a randomly sampled neighbor according to sampling probabilities, referred to…

Optimization and Control · Mathematics 2022-11-28 Milan Vojnovic , Kaifang Zhou

Recent experiments in adult mammalian tissues have found scaling relations of the voter model in the dynamics of the genetically labeled population of stem cells. Yet, the reason for this seemingly robust appearance of the voter model…

Statistical Mechanics · Physics 2019-03-08 Hiroki Yamaguchi , Kyogo Kawaguchi

We generalize a binary majority-vote model on adaptive networks to a plurality-vote counterpart. When opinions are uniformly distributed in the population of voters in the initial state, it is found that having more available opinions in…

Physics and Society · Physics 2016-06-24 Degang Wu , Kwok Yip Szeto

We present a dynamical model for rewiring and attachment in bipartite networks in which edges are added between nodes that belong to catalogs that can either be fixed in size or growing in size. The model is motivated by an empirical study…

Physics and Society · Physics 2013-09-10 Mariano Beguerisse-Diaz , Mason A. Porter , Jukka-Pekka Onnela

Recommender systems help people cope with the problem of information overload. A recently proposed adaptive news recommender model [Medo et al., 2009] is based on epidemic-like spreading of news in a social network. By means of agent-based…

Physics and Society · Physics 2015-03-17 Giulio Cimini , Matus Medo , Tao Zhou , Dong Wei , Yi-Cheng Zhang

We consider a modification of the voter model in which a set of interacting elements (agents) can be in either of two equivalent states (A or B) or in a third additional mixed AB state. The model is motivated by studies of language…

Physics and Society · Physics 2007-09-10 Xavier Castelló , Víctor M. Eguíluz , Maxi San Miguel

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

In the voter model, vertices of a graph (interpreted as voters) adopt one out of two opinions (0 and 1), and update their opinions at random times by copying the opinion of a neighbor chosen uniformly at random. This process is dual to a…

Probability · Mathematics 2024-09-25 Jhon Astoquillca