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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

In this work we propose a subtle change in Axelrod's model for the dissemination of culture. The mechanism consists of excluding non-interacting neighbours from the set of neighbours out of which an agent is drawn for potential cultural…

Physics and Society · Physics 2014-06-11 Bruno Pace , Carmen P. C. Prado

The standard Axelrod model of cultural dissemination, based on discrete cultural traits, exhibits a non-equilibrium phase transition but is inherently limited by its inability to continuously probe the critical behavior. We address this…

Physics and Society · Physics 2026-01-01 Paulo R. A. Campos , Sandro M. Reia , José F. Fontanari

We relax a simplification of Axelrod's (1997) model of cultural dissemination that has not yet been studied, the assumption that all cultural states are nominal. We integrate metric states into the original model. Computational experiments…

Physics and Society · Physics 2007-05-23 Andreas Flache , Michael W. Macy

We study the effect of polarization in Axelrod's model of cultural dissemination. This is done through the introduction of a cultural feature that takes only two values, while the other features can present a larger number of possible…

Physics and Society · Physics 2021-06-23 Carlos Gracia-Lázaro , Edgardo Brigatti , Alexis R. Hernández , Yamir Moreno

Why is our society multicultural? Based on the two mechanisms of homophily and social influence, the classical model for the dissemination of cultures proposed by Axelrod predicts the existence of a fragmented regime where different…

Physics and Society · Physics 2017-04-18 Federico Battiston , Vincenzo Nicosia , Vito Latora , Maxi San Miguel

Axelrod (1997) showed how local convergence in cultural influence can preserve cultural diversity. We argue that central implications of Axelrod's model may change profoundly, if his model is integrated with the assumption of social…

Physics and Society · Physics 2014-02-21 Andreas Flache , Michael W. Macy

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

This article is concerned with the Axelrod model, a stochastic process which similarly to the voter model includes social influence, but unlike the voter model also accounts for homophily. Each vertex of the network of interactions is…

Probability · Mathematics 2012-05-08 Nicolas Lanchier

In the Axelrod's model of cultural dissemination, we consider mobility of cultural agents through the introduction of a density of empty sites and the possibility that agents in a dissimilar neighborhood can move to them if their mean…

Physics and Society · Physics 2015-05-13 C. Gracia-Lazaro , L. F. Lafuerza , L. M. Floria , Y. Moreno

We consider an open-ended set of cultural features in the Axelrod's model of cultural dissemination. By replacing the features in which a high degree of consensus is achieved by new ones, we address here an essential ingredient of…

Physics and Society · Physics 2018-08-01 Alexis R. Hernandez , Carlos Gracia-Lazaro , Edgardo Brigatti , Yamir Moreno

We study the influence of hesitating agents in the Axelrod model by introducing an intrinsic noise, which is proportional to the disagreement between the interacting agents, and thus coupled to the dynamics. Our results show that, unlike…

Physics and Society · Physics 2022-01-19 Rémi Perrier , Yérali Gandica , Laura Hernández

In the context of an extension of Axelrod's model for social influence, we study the interplay and competition between the cultural drift, represented as random perturbations, and mass media, introduced by means of an external homogeneous…

Physics and Society · Physics 2009-11-13 Karina I. Mazzitello , Julián Candia , Víctor Dossetti

We present extensive numerical simulations of the Axelrod's model for social influence, aimed at understanding the formation of cultural domains. This is a nonequilibrium model with short range interactions and a remarkably rich dynamical…

Statistical Mechanics · Physics 2009-10-31 Claudio Castellano , Matteo Marsili , Alessandro Vespignani

Axelrod's model for the dissemination of culture combines two key ingredients of social dynamics: social influence, through which people become more similar when they interact, and homophily, which is the tendency of individuals to interact…

Physics and Society · Physics 2020-03-11 Sandro M. Reia , Paulo F. Gomes , José F. Fontanari

Following Axelrod's model of cultural dissemination, formal computational studies of cultural influence have suggested that more contact between geographically distant regions may increase overall cultural homogeneity and reduce societal…

Physics and Society · Physics 2007-05-23 Andreas Flache , Michael W. Macy

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

Starting from Axelrod's model of cultural dissemination, we introduce a rewiring probability, enabling agents to cut the links with their unfriendly neighbors if their cultural similarity is below a tolerance parameter. For low values of…

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

Axelrod's model for culture dissemination offers a nontrivial answer to the question of why there is cultural diversity given that people's beliefs have a tendency to become more similar to each other's as people interact repeatedly. The…

Physics and Society · Physics 2009-11-19 Lauro A. Barbosa , José F. Fontanari
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