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Entropy relates the fast, microscopic behaviour of the elements in a system to its slow, macroscopic state. We propose to use it to explain how, as complexity theory suggests, small scale decisions of individuals form cities. For this, we…

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…

概率论 · 数学 2014-07-24 Nicolas Lanchier , Paul-Henri Moisson

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…

物理与社会 · 物理学 2008-11-26 F. Vazquez , S. Redner

In this paper we derive the maximum entropy characteristics of a particular rank order distribution, namely the discrete generalized beta distribution, which has recently been observed to be extremely useful in modelling many several…

物理与社会 · 物理学 2019-09-30 Abhik Ghosh , Preety Shreya , Banasri Basu

Maximum-entropy ensembles are key primitives in statistical mechanics from which thermodynamic properties can be derived. Over the decades, several approaches have been put forward in order to justify from minimal assumptions the use of…

量子物理 · 物理学 2018-03-13 Paul Boes , Henrik Wilming , Jens Eisert , Rodrigo Gallego

While generic competitive systems exhibit mixtures of hierarchy and cycles, real-world systems are predominantly hierarchical. We demonstrate and extend a mechanism for hierarchy; systems with similar agents approach perfect hierarchy in…

种群与进化 · 定量生物学 2024-02-12 Christopher Cebra , Alexander Strang

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…

物理与社会 · 物理学 2015-05-13 C. Gracia-Lazaro , L. F. Lafuerza , L. M. Floria , Y. Moreno

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.,…

物理与社会 · 物理学 2015-12-09 Paulo F. C. Tilles , José F. Fontanari

Hierarchical structures, which include multiple levels, are prevalent in statistical and machine-learning models as well as physical systems. Extending the foundational result that the maximum entropy distribution under mean constraints is…

信息论 · 计算机科学 2025-09-03 Amir R. Asadi

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…

物理与社会 · 物理学 2026-01-01 Paulo R. A. Campos , Sandro M. Reia , José F. Fontanari

Making decisions freely presupposes that there is some indeterminacy in the environment and in the decision making engine. The former is reflected on the behavioral changes due to communicating: few changes indicate rigid environments;…

人工智能 · 计算机科学 2020-09-23 Luis A. Pineda

It is shown that, in certain circumstances, systems of cultural rules may be represented by doubly stochastic matrices denoted called possibility transforms, and by certain real valued possibility densities with inner product. Using such…

综合数学 · 数学 2015-05-13 Paul Ballonoff

Uncertainty can be classified as either aleatoric (intrinsic randomness) or epistemic (imperfect knowledge of parameters). The majority of frameworks assessing infectious disease risk consider only epistemic uncertainty. We only ever…

Shared opinions are an important feature in the formation of social groups. In this paper, we use the Axelrod model of cultural dissemination to represent opinion-based groups. In the Axelrod model, each agent has a set of features which…

Coordinated human behaviour takes place within a diverse range of social organisational structures, which can be thought of as power structures with "managers" who influence "subordinates". A change in policy in one part of the organisation…

适应与自组织系统 · 物理学 2021-01-27 Charlie Pilgrim , Weisi Guo , Samuel Johnson

Empirical evidence suggests that social structure may have changed from hierarchical to egalitarian and back along the evolutionary line of humans. We model a society subject to competing cognitive and social navigation constraints. The…

物理与社会 · 物理学 2016-08-15 Nestor Caticha , Rafael Calsaverini , Renato Vicente

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…

物理与社会 · 物理学 2023-07-19 M. J. Krawczyk , K. Kulakowski

We study open-ended evolution by focusing on computational and information-processing dynamics underlying major evolutionary transitions. In doing so, we consider biological organisms as hierarchical dynamical systems that generate…

The dynamical properties and mechanical functions of amorphous materials are governed by their microscopic structures, particularly the elasticity of the interaction networks, which is generally complicated by structural heterogeneity. This…

统计力学 · 物理学 2018-04-11 Le Yan

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…

适应与自组织系统 · 物理学 2009-11-11 M. N. Kuperman