Axelrod models of social influence with cultural repulsion

Radillo-Díaz, Alejandro; Pérez, Luis A.; Castillo-Mussot, Marcelo del

doi:10.1103/physreve.80.066107

Cited by 29 publications

(27 citation statements)

References 16 publications

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“…In statistical physics, cluster size entropy has been used in the study of problems such as percolation [16,17,15,18] and complex systems [9,19,20,15,18]. In their studies on percolation, Tsang and co-workers [15,18] found that the cluster entropy shows a maximum at the percolation threshold, where a group of neighboring occupied sites forms a cluster that expands from one edge of the 2D lattice to the opposite one causing an abrupt decrease in the cluster entropy of the system.…”

Section: Introductionmentioning

confidence: 99%

Cluster-size entropy in the Axelrod model of social influence: Small-world networks and mass media

et al. 2011

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We study the Axelrod's cultural adaptation model using the concept of cluster size entropy Sc that gives information on the variability of the cultural cluster size present in the system. Using networks of different topologies, from regular to random, we find that the critical point of the wellknown nonequilibrium monocultural-multicultural (order-disorder) transition of the Axelrod model is unambiguously given by the maximum of the Sc(q) distributions. The width of the cluster entropy distributions can be used to qualitatively determine whether the transition is first-or second-order. By scaling the cluster entropy distributions we were able to obtain a relationship between the critical cultural trait qc and the number F of cultural features in regular networks. We also analyze the effect of the mass media (external field) on social systems within the Axelrod model in a square network. We find a new partially ordered phase whose largest cultural cluster is not aligned with the external field, in contrast with a recent suggestion that this type of phase cannot be formed in regular networks. We draw a new q − B phase diagram for the Axelrod model in regular networks.

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Section: Introductionmentioning

confidence: 99%

Cluster-size entropy in the Axelrod model of social influence: Small-world networks and mass media

et al. 2011

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“…This kind of interaction is less stochastic in the sense that the decision does not rely on any probability. We note that in [11], the ordered phase was preserved for small q.…”

Section: Discussionmentioning

confidence: 94%

“…As we remarked in Introduction, it seems to us that the version of repulsion proposed by us is more close to a sociological reality, than a mechanism which depends on a pre-dened threshold [11]. Our second modication a generalization of the model is to prepare an initial state.…”

Section: Discussionmentioning

confidence: 99%

“…Namely, a small ordered cluster was found in [11] which appears above the threshold q * . Its size reported was the largest for the threshold γ = 0.2, but it was not more than 0.02L…”

Section: Discussionmentioning

confidence: 99%

“…For q > q * , this ordering vanishes. In 2009, a kind of threshold-dependent repulsion has been introduced to the model [11]. Namely, the number k of identical cells in a pair is compared with some threshold γ.…”

Section: Introductionmentioning

confidence: 99%

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On a Combinatorial Aspect of Fashion

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2013

Acta Phys. Pol. A

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Simulations are performed according to the Axelrod model of culture dissemination, with modied mechanism of repulsion. Previously, repulsion was considered by Radillo-Diaz et al. as dependent on a predened threshold. Here the probabilities of attraction and repulsion are calculated from the number of cells in the same states. We also investigate the inuence of some homogeneity, introduced to the initial state. As the result of the probabilistic denition of repulsion, the ordered state vanishes. A small cluster of a few percent of population is retained only if in the initial state a set of agents is prepared in the same state. We conclude that the modelled imitation is successful only with respect to agents, and not only their features.

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Opinion Dynamics: Models, Extensions and External Effects

Sîrbu

Loreto

Servedio

et al. 2016

Understanding Complex Systems

145

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Recently, social phenomena have received a lot of attention not only from social scientists, but also from physicists, mathematicians and computer scientists, in the emerging interdisciplinary field of complex system science. Opinion dynamics is one of the processes studied, since opinions are the drivers of human behaviour, and play a crucial role in many global challenges that our complex world and societies are facing: global financial crises, global pandemics, growth of cities, urbanisation and migration patterns, and last but not least important, climate change and environmental sustainability and protection. Opinion formation is a complex process affected by the interplay of different elements, including the individual predisposition, the influence of positive and negative peer interaction (social networks playing a crucial role in this respect), the information each individual is exposed to, and many others. Several models inspired from those in use in physics have been developed to encompass many of these elements, and to allow for the identification of the mechanisms involved in the opinion formation process and the understanding of their role, with the practical aim of simulating opinion formation and spreading under various conditions. These modelling schemes range from binary simple models such as the voter model, to multi-dimensional continuous approaches. Here, we provide a review of recent methods, focusing on models employing both peer interaction and external information, and emphasising the role that less studied mechanisms, such as disagreement, has in driving the opinion dynamics. Due to the important role that external information (mainly in the form of mass media broadcast) can have in enhancing awareness of social issues, a special emphasis will be devoted to study different forms it can take, investigating their effectiveness in driving the opinion formation at the population level. The review shows that, although a large number of approaches exist, some mechanisms such as the effect of multiple external information sources could largely benefit from further studies. Additionally, model validation with real data, which are starting to become available, is still largely lacking and should in our opinion be the main ambition of future investigations

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Axelrod models of social influence with cultural repulsion

Cited by 29 publications

References 16 publications

Cluster-size entropy in the Axelrod model of social influence: Small-world networks and mass media

Cluster-size entropy in the Axelrod model of social influence: Small-world networks and mass media

On a Combinatorial Aspect of Fashion

Opinion Dynamics: Models, Extensions and External Effects

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