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Statistical Physics and Computational Methods for Evolutionary Game Theory

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Release : 2018-01-11
Genre : Science
Kind : eBook
Book Rating : 05X/5 ( reviews)

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Book Synopsis Statistical Physics and Computational Methods for Evolutionary Game Theory by : Marco Alberto Javarone

Download or read book Statistical Physics and Computational Methods for Evolutionary Game Theory written by Marco Alberto Javarone. This book was released on 2018-01-11. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an introduction to Evolutionary Game Theory (EGT) which is an emerging field in the area of complex systems attracting the attention of researchers from disparate scientific communities. EGT allows one to represent and study several complex phenomena, such as the emergence of cooperation in social systems, the role of conformity in shaping the equilibrium of a population, and the dynamics in biological and ecological systems.Since EGT models belong to the area of complex systems, statistical physics constitutes a fundamental ingredient for investigating their behavior. At the same time, the complexity of some EGT models, such as those realized by means of agent-based methods, often require the implementation of numerical simulations. Therefore, beyond providing an introduction to EGT, this book gives a brief overview of the main statistical physics tools (such as phase transitions and the Ising model) and computational strategies for simulating evolutionary games (such as Monte Carlo algorithms on lattices). This book will appeal to students and researchers in this burgeoning field of complex systems.

Computational Statistical Physics

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Release : 2013-03-14
Genre : Science
Kind : eBook
Book Rating : 043/5 ( reviews)

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Book Synopsis Computational Statistical Physics by : K.-H. Hoffmann

Download or read book Computational Statistical Physics written by K.-H. Hoffmann. This book was released on 2013-03-14. Available in PDF, EPUB and Kindle. Book excerpt: In recent years statistical physics has made significant progress as a result of advances in numerical techniques. While good textbooks exist on the general aspects of statistical physics, the numerical methods and the new developments based on large-scale computing are not usually adequately presented. In this book 16 experts describe the application of methods of statistical physics to various areas in physics such as disordered materials, quasicrystals, semiconductors, and also to other areas beyond physics, such as financial markets, game theory, evolution, and traffic planning, in which statistical physics has recently become significant. In this way the universality of the underlying concepts and methods such as fractals, random matrix theory, time series, neural networks, evolutionary algorithms, becomes clear. The topics are covered by introductory, tutorial presentations.

Fundamentals of Evolutionary Game Theory and its Applications

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Release : 2015-10-23
Genre : Business & Economics
Kind : eBook
Book Rating : 625/5 ( reviews)

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Book Synopsis Fundamentals of Evolutionary Game Theory and its Applications by : Jun Tanimoto

Download or read book Fundamentals of Evolutionary Game Theory and its Applications written by Jun Tanimoto. This book was released on 2015-10-23. Available in PDF, EPUB and Kindle. Book excerpt: ​This book both summarizes the basic theory of evolutionary games and explains their developing applications, giving special attention to the 2-player, 2-strategy game. This game, usually termed a "2×2 game” in the jargon, has been deemed most important because it makes it possible to posit an archetype framework that can be extended to various applications for engineering, the social sciences, and even pure science fields spanning theoretical biology, physics, economics, politics, and information science. The 2×2 game is in fact one of the hottest issues in the field of statistical physics. The book first shows how the fundamental theory of the 2×2 game, based on so-called replicator dynamics, highlights its potential relation with nonlinear dynamical systems. This analytical approach implies that there is a gap between theoretical and reality-based prognoses observed in social systems of humans as well as in those of animal species. The book explains that this perceived gap is the result of an underlying reciprocity mechanism called social viscosity. As a second major point, the book puts a sharp focus on network reciprocity, one of the five fundamental mechanisms for adding social viscosity to a system and one that has been a great concern for study by statistical physicists in the past decade. The book explains how network reciprocity works for emerging cooperation, and readers can clearly understand the existence of substantial mechanics when the term "network reciprocity" is used. In the latter part of the book, readers will find several interesting examples in which evolutionary game theory is applied. One such example is traffic flow analysis. Traffic flow is one of the subjects that fluid dynamics can deal with, although flowing objects do not comprise a pure fluid but, rather, are a set of many particles. Applying the framework of evolutionary games to realistic traffic flows, the book reveals that social dilemma structures lie behind traffic flow.

Computational Statistical Physics

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Release : 2014-01-15
Genre :
Kind : eBook
Book Rating : 054/5 ( reviews)

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Book Synopsis Computational Statistical Physics by : K. -H Hoffmann

Download or read book Computational Statistical Physics written by K. -H Hoffmann. This book was released on 2014-01-15. Available in PDF, EPUB and Kindle. Book excerpt:

Advances in Dynamic and Evolutionary Games

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Release : 2016-04-07
Genre : Mathematics
Kind : eBook
Book Rating : 147/5 ( reviews)

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Book Synopsis Advances in Dynamic and Evolutionary Games by : Frank Thuijsman

Download or read book Advances in Dynamic and Evolutionary Games written by Frank Thuijsman. This book was released on 2016-04-07. Available in PDF, EPUB and Kindle. Book excerpt: This contributed volume considers recent advances in dynamic games and their applications, based on presentations given at the 16th Symposium of the International Society of Dynamic Games, held July 9-12, 2014, in Amsterdam. Written by experts in their respective disciplines, these papers cover various aspects of dynamic game theory including differential games, evolutionary games, and stochastic games. They discuss theoretical developments, algorithmic methods, issues relating to lack of information, and applications in areas such as biological or economical competition, stability in communication networks, and maintenance decisions in an electricity market, just to name a few. Advances in Dynamic and Evolutionary Games presents state-of-the-art research in a wide spectrum of areas. As such, it serves as a testament to the vitality and growth of the field of dynamic games and their applications. It will be of interest to an interdisciplinary audience of researchers, practitioners, and advanced graduate students.

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