Erdós-Rényi phase transition in the Axelrod model on complete graphs

Pinto, Sebastián; Balenzuela, Pablo

doi:10.1103/physreve.101.052319

Cited by 4 publications

(2 citation statements)

References 15 publications

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“…The Axelrod model is usually seeded uniformly at random (e.g., Klemm et al 2003;Stivala et al 2014;Pinto & Balenzuela 2020) and shows how the progressive coordination of attitudes structures social groups (i.e., clustering). In this paper, we seed both the Axelrod model and agreement-threshold model with empirical opinion data from surveys randomly on a connected lattice.…”

Section: 5mentioning

confidence: 99%

Dyadic Interaction Shapes Social Identity in the Axelrod Model Using Empirical Data

Dinkelberg

MacCarron

Maher

et al. 2023

JASSS

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Group dynamics and inter-group relations influence the self-perception. The Social Identity Approach explains the role of multiple identities, derived from categories or group memberships, in social interaction and individual behaviour. In agent-based models, agents interact with their environment to make decisions and take actions. Thus, we examine to what extent the interaction in an agent-based model natively captures core principles of the Social Identity Approach. To do so, we extend the Axelrod model and the agreementthreshold model with explicit aspects of the Social Identity Approach to assess their influence on the simulation outcomes. We study the variants of the Axelrod model by using Monte Carlo simulations and compare the simulation results with longitudinal survey data of opinions. These extensive simulations favour the Axelrod model and the agreement-threshold model. These models fit, without the explicit embedding of features from the Social Identity Approach, the volatility of the opinion-based features better for the given data sets. Our two extensions of the Axelrod model formalise elements of the Social Identity Approach; however, they do not support the fitness of the model to the data. In the simulations, even in the standard Axelrod model, the social identity affects the development of the agents' identity through the homophily principle, and the agents, in turn, shape their own social identity by social influence. We argue that the Axelrod model and the agreement-threshold model implicitly include social identities as emerging properties of evolving opinion-based groups. In addition to that, the attitudinal data captures the hidden group structure in the attitude positions of the participants. In this way, core features of the Social Identity Approach already implicitly play a role in these empirically-driven agent-based models.

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Section: 5mentioning

confidence: 99%

Dyadic Interaction Shapes Social Identity in the Axelrod Model Using Empirical Data

Dinkelberg

MacCarron

Maher

et al. 2023

JASSS

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“…On the other hand, if Q is high, the mentioned probability is low and the system evolves to a stationary multicultural state after a few interactions. This phase transition was studied in several topologies such as one-dimensional systems [6,8], lattices [3], complex [5] and complete networks [11].…”

Section: Introductionmentioning

confidence: 99%

A novel analytical formulation of the Axelrod model

Pedraza,

Pinto,

Pinasco

et al. 2020

Preprint

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The Axelrod model of cultural dissemination has been widely studied in the field of statistical mechanics. The traditional version of this agent-based model is to assign a cultural vector of F components to each agent, where each component can take one of Q cultural trait. In this work, we introduce a novel set of mean field master equations to describe the model for F = 2 and F = 3 in complete graphs where all indirect interactions are explicitly calculated. We find that the transition between different macroscopic states is driven by initial conditions (set by parameter Q) and the size of the system N , who measures the balance between linear and cubic terms in master equations. We also find that this analytical approach fully agrees with simulations where the system does not break up during the dynamics and a scaling relation related to missing links reestablishes the agreement when this happens.

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