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According to Peter M. Blau [Exchange and Power in Social Life, Wiley and Sons, p. 43], the process of integration of a newly formed group has a paradoxical aspect: most attractive individuals are rejected because they raise fear of…

物理与社会 · 物理学 2019-07-05 K. Malarz , K. Kulakowski

Recently a computational model has been proposed of the social integration, as described in sociological terms by Peter Blau. In this model, actors praise or critique each other, and these actions influence their social status and raise…

物理与社会 · 物理学 2018-01-17 Krzysztof Kulakowski , Piotr Gronek , Alfio Borzi

The paradoxical aspect of integration of a social group has been highlighted by Peter Blau (Exchange and Power in Social Life, Wiley and Sons, 1964). During the integration process, the group members simultaneously compete for social status…

物理与社会 · 物理学 2017-01-04 Malgorzata J. Krawczyk , Krzysztof Kulakowski

The problem of competitive nucleation in the framework of Probabilistic Cellular Automata is studied from the dynamical point of view. The dependence of the metastability scenario on the self--interaction is discussed. An intermediate…

统计力学 · 物理学 2015-05-13 Emilio N. M. Cirillo , Cristian Spitoni , Francesca R. Nardi

A cellular automaton in which cells represent agents playing the Prisoner's Dilemma (PD) game following the simple "win-stay, loose-shift" strategy is studied. Individuals with binary behavior, such as they can either cooperate (C) or…

统计力学 · 物理学 2009-11-10 H. Fort , S. Viola

We explore some aspects of phase transitions in cellular automata. We start recalling the standard formulation of statistical mechanics of discrete systems (Ising model), illustrating the Monte Carlo approach as Markov chains and stochastic…

统计力学 · 物理学 2023-12-05 Franco Bagnoli , Raul Rechtman

We study the classification of cellular-automaton update rules into Wolfram's four classes. We start with the notion of the input entropy of a spatiotemporal block in the evolution of a cellular automaton, and build on it by introducing two…

元胞自动机与格子气 · 物理学 2009-09-29 V. C. Barbosa , F. M. N. Miranda , M. C. M. Agostini

This paper introduces a simple formalism for dealing with deterministic, non- deterministic and stochastic cellular automata in an unified and composable manner. This formalism allows for local probabilistic correlations, a feature which is…

离散数学 · 计算机科学 2013-05-20 Pablo Arrighi , Nicolas Schabanel , Guillaume Theyssier

Cellular automata have been useful artificial models for exploring how relatively simple rules combined with spatial memory can give rise to complex emergent patterns. Moreover, studying the dynamics of how rules emerge under artificial…

元胞自动机与格子气 · 物理学 2014-07-11 Theodore P. Pavlic , Alyssa M. Adams , Paul C. W. Davies , Sara Imari Walker

We present a 2-dimensional cellular automaton model for the simulation of pedestrian dynamics. The model is extremely efficient and allows simulations of large crowds faster than real time since it includes only nearest-neighbour…

统计力学 · 物理学 2007-05-23 Andreas Schadschneider

We improve a recently proposed dynamically driven renormalization group algorithm for cellular automata systems with one absorbing state, introducing spatial correlations in the expression for the transition probabilities. We implement the…

统计力学 · 物理学 2009-10-31 Roberto A. Monetti , Javier E. Satulovsky

Cellular automata are a discrete dynamical system which models massively parallel computation. Much attention is devoted to computations with small time complexity for which the parallelism may provide further possibilities. In this paper,…

形式语言与自动机理论 · 计算机科学 2012-08-15 Anaël Grandjean , Gaétan Richard , Véronique Terrier

We investigate one-dimensional Probabilistic Cellular Automata, called Diploid Elementary Cellular Automata (DECA), obtained as random mixture of two different Elementary Cellular Automata rules. All the cells are updated synchronously and…

统计力学 · 物理学 2021-04-28 Emilio N. M. Cirillo , Francesca R. Nardi , Cristian Spitoni

Layered Cellular Automata (LCA) extends the concept of traditional cellular automata (CA) to model complex systems and phenomena. In LCA, each cell's next state is determined by the interaction of two layers of computation, allowing for…

元胞自动机与格子气 · 物理学 2023-08-15 Abhishek Dalai

This paper concerns $d$-dimensional cellular automata with the von Neumann neighborhood that conserve the sum of the states of all their cells. These automata, called number-conserving or density-conserving cellular automata, are of…

数学物理 · 物理学 2020-08-26 Barbara Wolnik , Anna Nenca , Jan M. Baetens , Bernard De Baets

The paper proposes a simple formalism for dealing with deterministic, non-deterministic and stochastic cellular automata in a unifying and composable manner. Armed with this formalism, we extend the notion of intrinsic simulation between…

形式语言与自动机理论 · 计算机科学 2012-08-15 Pablo Arrighi , Nicolas Schabanel , Guillaume Theyssier

We study self-similarity in one-dimensional probabilistic cellular automata (PCA) using the renormalization technique. We introduce a general framework for algebraic construction of renormalization groups (RG) on cellular automata and apply…

统计力学 · 物理学 2011-08-22 Erik Edlund , Martin Nilsson Jacobi

Probabilistic cellular automata (PCA) are used to model a variety of discrete spatially extended systems undergoing parallel-updating. We propose an embedding of a number of classical nonequilibrium concepts in the PCA-world. We start from…

统计力学 · 物理学 2017-01-17 Christian Maes

The Prisoner's Dilemma (PD) game is used in several fields due to the emergence of cooperation among selfish players. Here, we have considered a one-dimensional lattice, where each cell represents a player, that can cooperate or defect.…

物理与社会 · 物理学 2009-04-03 Marcelo Alves Pereira , Alexandre Souto Martinez

Social issues are generally discussed by highly-involved and less-involved people to build social norms defining what has to be thought and done about them. As self-involved agents share different attitude dynamics to other agents Wood,…

多智能体系统 · 计算机科学 2018-05-28 Sylvie Huet , Jean-Denis Mathias
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