Dynamic fractals in spatial evolutionary games
نویسندگان
چکیده
منابع مشابه
Non-local interactions in spatial evolutionary games
As a special case of symmetric game in which the players share a common payoff matrix, evolutionary game provides a suitable approach to model and explore the emergence of cooperative behavior in natural and social systems. The evolutionary spatial game (ESG) further specifies the payoff for each individual by both the payoff matrix M and the spatial dependence structure of the population on a ...
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Frequency dependent selection and demographic fluctuations play important roles in evolutionary and ecological processes. Under frequency dependent selection, the average fitness of the population may increase or decrease based on interactions between individuals within the population. This should be reflected in fluctuations of the population size even in constant environments. Here, we propos...
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Here we will use results of Cox, Durrett, and Perkins [56] for voter model perturbations to study spatial evolutionary games on Zd, d ≥ 3 when the interaction kernel is finite range, symmetric, and has covariance matrix σ2I. The games we consider have payoff matrices of the form 1 + wG where 1 is matrix of all 1’s and w is small and positive. Since our population size N = ∞, we call our selecti...
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ژورنال
عنوان ژورنال: Physica A: Statistical Mechanics and its Applications
سال: 2018
ISSN: 0378-4371
DOI: 10.1016/j.physa.2018.02.007