On the geometric structures in evolutionary games on square and triangular lattices
We investigate geometrical aspects of a spatial evolutionary game. The game is based on the Prisoner's dilemma. We analyze the geometrical structure of the space distribution of cooperators and defectors in the steady-state regime of evolution. We develop algorithm for the identification of the interfaces between clusters of cooperators and defectors, and measure fractal properties of the interfaces.
We investigate critical properties of a spatial evolutionary game based on the Prisoner’s Dilemma. Simulations demonstrate a jump in the component densities accompanied by drastic changes in average sizes of the component clusters. We argue that the cluster boundary is a random fractal. Our simulations are consistent with the fractal dimension of the boundary being equal to 2, and the cluster boundaries are hence asymptotically space filling as the system size increases
The article examines the relationship between power resource and rational behavior in history. It is shown that personal interest is expressed in socially useful economic activities of individuals only if they had no adequate power potential. This general principle is illustrated by examples of Russian medieval history that are associated with the specifics of the trade route «from the Varangians to the Greeks», with land ownership and changing social structure. Further the thesis of the strengthening of the connection between economy and power potential that helps to explain changes in the distribution of power, institutions and economic growth in the Western world in Modern history is elaborated and illustrated. Moreover, the author describes the social dynamics in situations when low social classes expand at social bottoms and, using their monopoly there, exalt.
This proceedings publication is a compilation of selected contributions from the “Third International Conference on the Dynamics of Information Systems” which took place at the University of Florida, Gainesville, February 16–18, 2011. The purpose of this conference was to bring together scientists and engineers from industry, government, and academia in order to exchange new discoveries and results in a broad range of topics relevant to the theory and practice of dynamics of information systems. Dynamics of Information Systems: Mathematical Foundation presents state-of-the art research and is intended for graduate students and researchers interested in some of the most recent discoveries in information theory and dynamical systems. Scientists in other disciplines may also benefit from the applications of new developments to their own area of study.