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Axelrod model describes the dissemination of a set of cultural traits in a society constituted by individual agents. In a social context, nevertheless, individual choices toward a specific attitude are also at the basis of the formation of…

Physics and Society · Physics 2009-06-22 Andrea Apolloni , Floriana Gargiulo

We revisit the problem of introducing an external global field -- the mass media -- in Axelrod's model of social dynamics, where in addition to their nearest neighbors, the agents can interact with a virtual neighbor whose cultural features…

Physics and Society · Physics 2011-10-19 Lucas R. Peres , José F. Fontanari

We look at the evolution through rewiring of the degree distribution of a network so the number edges is constant. This is exactly equivalent to the evolution of probability distributions in models of cultural transmission with drift and…

Physics and Society · Physics 2007-05-23 T. S. Evans , A. D. K. Plato

In this paper, we study Axelrod's model of social dynamics, introducing the concept of Cultural Diversity ($D$), defined as the variety of sizes of clusters or cultural domains formed, which measures the complexity of the system. We find…

Physics and Society · Physics 2025-07-29 J. Villegas-Febres , E. Castillo-Felisola

The Axelrod model for the dissemination of culture exhibits a rich spatial distribution of cultural domains, which depends on the values of the two model parameters: $F$, the number of cultural features and $q$, the common number of states…

Physics and Society · Physics 2015-04-22 Elias J. P. Biral , Paulo F. C. Tilles , José F. Fontanari

Inspired by Axelrod's model of culture dissemination, we introduce and analyze a model for a population of coupled oscillators where different levels of synchronization can be assimilated to different degrees of cultural organization. The…

Adaptation and Self-Organizing Systems · Physics 2015-05-13 M. N. Kuperman , D. H. Zanette

Social networks are not static but rather constantly evolve in time. One of the elements thought to drive the evolution of social network structure is homophily - the need for individuals to connect with others who are similar to them. In…

Physics and Society · Physics 2012-04-24 P. Singh , S. Sreenivasan , B. K. Szymanski , G. Korniss

Cooperation emergence in multi-agent systems represents a fundamental statistical physics problem where microscopic learning rules drive macroscopic collective behavior transitions. We propose a Q-learning-based variant of adaptive rewiring…

Physics and Society · Physics 2025-09-04 Yi-Ning Weng , Hsuan-Wei Lee

Axelrod's model for the dissemination of culture contains two key factors required to model the process of diffusion of innovations, namely, social influence (i.e., individuals become more similar when they interact) and homophily (i.e.,…

Physics and Society · Physics 2015-12-09 Paulo F. C. Tilles , José F. Fontanari

We study the one-dimensional version of Axelrod's model of cultural transmission from the point of view of optimization dynamics. We show the existence of a Lyapunov potential for the dynamics. The global minimum of the potential, or…

Condensed Matter · Physics 2011-06-17 Konstantin Klemm , Victor M. Eguiluz , Raul Toral , Maxi San Miguel

We study the Axelrod's cultural adaptation model using the concept of cluster size entropy, $S_{c}$ that gives information on the variability of the cultural cluster size present in the system. Using networks of different topologies, from…

Physics and Society · Physics 2015-05-30 Yérali Gandica , A. Charmell , J. Villegas-Febres , I. Bonalde

The Axelrod model is a spatial stochastic model for the dynamics of cultures that includes two key social mechanisms: homophily and social influence, respectively defined as the tendency of individuals to interact more frequently with…

Probability · Mathematics 2014-07-24 Nicolas Lanchier , Paul-Henri Moisson

The use of {\it dyadic interaction} between agents, in combination with {\it homophily} (the principle that ``likes attract'') in the Axelrod model for the study of cultural dissemination has two important problems: the prediction of…

Physics and Society · Physics 2015-05-18 Arezky H. Rodríguez , Y. Moreno

We study the evolution of the Axelrod model for cultural diversity. We consider a simple version of the model in which each individual is characterized by two features, each of which can assume q possibilities. Within a mean-field…

Physics and Society · Physics 2008-11-26 F. Vazquez , S. Redner

In this article we develop a highly integrated effective degree approach to modeling epidemic and awareness spreading processes on multiplex networks coupled with awareness-dependent adaptive rewiring. This approach keeps track of the…

Physics and Society · Physics 2021-04-05 Xiao-Long Peng , Yi-Dan Zhang

Simulations are performed according to the Axelrod model of culture dissemination, with modified mechanism of repulsion. Previously, repulsion was considered by Radillo-Diaz et al (Phys. Rev. E 80 (2009) 066107) as dependent on a predefined…

Physics and Society · Physics 2023-07-19 M. J. Krawczyk , K. Kulakowski

In this work we present a model for the propagation of culture on networks of different topology and by considering different underlying dynamics. We extend a previous model proposed by Axelrod by letting a majority govern the dynamics of…

Adaptation and Self-Organizing Systems · Physics 2009-11-11 M. N. Kuperman

We consider the model proposed by Axelrod for dissemination of cultures on a 2-dimensional squared lattice. We review this model from an analytic point of view. We define $\left\langle s(t)\right\rangle$ to quantify possible culture…

Physics and Society · Physics 2018-04-03 Nirina Maurice Hasina Tahiridimbisoa , Yabebal Tadesse

We study a model describing the spread of a globalized culture in a population of individuals localized at the nodes of a social network. The influence of this globalized culture, assumed to be foreign to the local culture, is measured by a…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Nino Boccara

Rogers' diffusion of innovations theory asserts that cultural similarity among individuals plays a crucial role in the acceptance of an innovation in a community. However, most studies on the diffusion of innovations have relied on…