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

Gandica, Yérali; Charmell, A.; Villegas-Febres, Juan C.; Bonalde, I.

doi:10.1103/physreve.84.046109

Cited by 24 publications

(25 citation statements)

References 23 publications

(38 reference statements)

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“…Therefore the mean activity ⟨A⟩ presents the main characteristic of an order parameter since it is able to indicate the transition from the monocultural to the multicultural steady state. Furthermore estimations of the critical points Q c from the peaks of χ A are in accordance with the corresponding values found in the literature (obtained from the measurement of the largest cluster size S[14]). …”

mentioning

confidence: 58%

“…As already discussed, the parameter activity for F ≥ 4 is also observed to fall abruptly as Q increases, a typical behaviour of first order phase transitions. Separations from monocultural to multicultural regimes occur at critical values Q c (F ) increasing with F , as expected [14]. On the other side, the plot of ⟨A⟩/F versus Q corresponding to F = 2 is shown in Fig.…”

Section: Equilibrium Statesmentioning

confidence: 68%

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Activity of a social dynamics model

Reia

Neves

2015

Physica A: Statistical Mechanics and its Applications

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h i g h l i g h t s• New measurements based on the concept of activity per agent are proposed.• The variance of the system activity can be used to indicate the critical points of the transition.• The frequency distribution of system activity is able to show the order of the phase transition. • A power law dependence between cluster activity and cluster size is verified. a b s t r a c tAxelrod's model was proposed to study interactions between agents and the formation of cultural domains. It presents a transition from a monocultural to a multicultural steady state which has been studied in the literature by evaluation of the relative size of the largest cluster. In this article, we propose new measurements based on the concept of activity per agent to study the Axelrod's model on the square lattice. We show that the variance of system activity can be used to indicate the critical points of the transition. Furthermore the frequency distribution of the system activity is able to show a coexistence of phases typical of a first order phase transition. Finally, we verify a power law dependence between cluster activity and cluster size for multicultural steady state configurations at the critical point.

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confidence: 58%

Section: Equilibrium Statesmentioning

confidence: 68%

Activity of a social dynamics model

Reia

Neves

2015

Physica A: Statistical Mechanics and its Applications

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“…Since the relationship between entropy and information was formed, information entropy has been widely used in economics, managerial studies, and the social sciences [14][15][16][17][18].…”

Section: Literature Reviewmentioning

confidence: 99%

Constructing a Measurement Method of Differences in Group Preferences Based on Relative Entropy

Zhang

Liu

et al. 2017

Entropy

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Abstract:In the research and data analysis of the differences involved in group preferences, conventional statistical methods cannot reflect the integrity and preferences of human minds; in particular, it is difficult to exclude humans' irrational factors. This paper introduces a preference amount model based on relative entropy theory. A related expansion is made based on the characteristics of the questionnaire data, and we also construct the parameters to measure differences in the data distribution of different groups on the whole. In this paper, this parameter is called the center distance, and it effectively reflects the preferences of human minds. Using the survey data of securities market participants as an example, this paper analyzes differences in market participants' attitudes toward the effectiveness of securities regulation. Based on this method, differences between groups that were overlooked by analysis of variance are found, and certain aspects obscured by general data characteristics are also found.

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“…Relevant studies of the influence of media on opinion dynamics include Refs. [4][5][6][7][8][9][10] (one-dimensional discrete models), [11][12][13][14][15][16] (one-dimensional continuous models), [17][18][19][20][21][22][23][24][25][26][27] (multidimensional discrete models) and [28][29][30] (multidimensional continuous models). In all of these studies, media are represented as an external source of information, variously affecting the internal dynamics of the agents.…”

Section: Introductionmentioning

confidence: 99%

Influence of periodic external fields in multiagent models with language dynamics

2017

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We investigate large-scale effects induced by external fields, phenomenologically interpreted as mass media, in multiagent models evolving with the microscopic dynamics of the binary naming game. In particular, we show that a single external field, broadcasting information at regular time intervals, can reverse the majority opinion of the population, provided the frequency and the effectiveness of the sent messages lie above well-defined thresholds. We study the phase structure of the model in the mean field approximation and in numerical simulations with several network topologies. We also investigate the influence on the agent dynamics of two competing external fields, periodically broadcasting different messages. In finite regions of the parameter space we observe periodic equilibrium states in which the average opinion densities are reversed with respect to naive expectations. Such equilibria occur in two cases: (i) when the frequencies of the competing messages are different but close to each other; (ii) when the frequencies are equal and the relative time shift of the messages does not exceed half a period. We interpret the observed phenomena as a result of the interplay between the external fields and the internal dynamics of the agents and conclude that, depending on the model parameters, the naming game is consistent with scenarios of first-or second-mover advantage (to borrow an expression from the jargon of business strategy).

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

Cited by 24 publications

References 23 publications

Activity of a social dynamics model

Activity of a social dynamics model

Constructing a Measurement Method of Differences in Group Preferences Based on Relative Entropy

Influence of periodic external fields in multiagent models with language dynamics

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