Evolution And The Theory Of Games
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Evolution And The Theory Of Games
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Author : John Maynard Smith
language : en
Publisher: Cambridge University Press
Release Date : 1982-10-21
Evolution And The Theory Of Games written by John Maynard Smith and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982-10-21 with Science categories.
This 1982 book is an account of an alternative way of thinking about evolution and the theory of games.
Fundamentals Of Evolutionary Game Theory And Its Applications
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Author : Jun Tanimoto
language : en
Publisher: Springer
Release Date : 2015-10-23
Fundamentals Of Evolutionary Game Theory And Its Applications written by Jun Tanimoto and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-23 with Business & Economics categories.
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.
Evolutionary Game Theory
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Author : Jörgen W. Weibull
language : en
Publisher: MIT Press
Release Date : 1997
Evolutionary Game Theory written by Jörgen W. Weibull and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Business & Economics categories.
Introduces current evolutionary game theory--where ideas from evolutionary biology and rationalistic economics meet--emphasizing the links between static and dynamic approaches and noncooperative game theory. This text introduces current evolutionary game theory--where ideas from evolutionary biology and rationalistic economics meet--emphasizing the links between static and dynamic approaches and noncooperative game theory. Much of the text is devoted to the key concepts of evolutionary stability and replicator dynamics. The former highlights the role of mutations and the latter the mechanisms of selection. Moreover, set-valued static and dynamic stability concepts, as well as processes of social evolution, are discussed. Separate background chapters are devoted to noncooperative game theory and the theory of ordinary differential equations. There are examples throughout as well as individual chapter summaries. Because evolutionary game theory is a fast-moving field that is itself branching out and rapidly evolving, Jörgen Weibull has judiciously focused on clarifying and explaining core elements of the theory in an up-to-date, comprehensive, and self-contained treatment. The result is a text for second-year graduate students in economic theory, other social sciences, and evolutionary biology. The book goes beyond filling the gap between texts by Maynard-Smith and Hofbauer and Sigmund that are currently being used in the field. Evolutionary Game Theory will also serve as an introduction for those embarking on research in this area as well as a reference for those already familiar with the field. Weibull provides an overview of the developments that have taken place in this branch of game theory, discusses the mathematical tools needed to understand the area, describes both the motivation and intuition for the concepts involved, and explains why and how it is relevant to economics.
Game Theory
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Author : James N. Webb
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-03-06
Game Theory written by James N. Webb and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-03-06 with Mathematics categories.
The outstanding feature of this book is that it provides a unified account of three types of decision problem. It covers the basic ideas of decision theory, classical game theory, and evolutionary game theory in one volume. No background knowledge of economics or biology is required as examples have been carefully selected for their accessibility. Detailed solutions to the numerous exercises are provided at the back of the book, making it ideal for self-study. This introduction to game theory is intended as a first course for undergraduate students of mathematics, but it will also interest advanced students or researchers in biology and economics.
The Theory Of Learning In Games
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Author : Drew Fudenberg
language : en
Publisher: MIT Press
Release Date : 1998
The Theory Of Learning In Games written by Drew Fudenberg and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Business & Economics categories.
This work explains that equilibrium is the long-run outcome of a process in which non-fully rational players search for optimality over time. The models they e×plore provide a foundation for equilibrium theory and suggest ways for economists to evaluate and modify traditional equilibrium concepts.
Did Darwin Get It Right
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Author : John Maynard Smith
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Did Darwin Get It Right written by John Maynard Smith and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
Now in paperback, Did Darwin Get It Right discusses some of the hottest issues in biology today. Its author, the eminently quotable John Maynard Smith, discusses such fascinating conundrums as how life began, whether the brain works like a computer, why most animals and plants reproduce sexually, and how social behavior evolved out of the context of natural selection--a process which would seem to favor selfishness. A humorous and insightful writer, John Maynard Smith has the special ability to convey the excitement of science, its complexity and fascination, without baffling or boring his readers. In these 28 brief and accessible essays, Maynard ranges widely over such issues as science and the media, the birth of sociobiology, the evolution of animal intelligence and the limitations of evolutionary theory. For his work on the evolution of sex, Smith won the Darwin medal from the Royal Society, and he has pioneered the application of game theory to animal behavior.
Games Sex And Evolution
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Author : John Maynard Smith
language : en
Publisher: Prentice Hall
Release Date : 1988
Games Sex And Evolution written by John Maynard Smith and has been published by Prentice Hall this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.
Evolutionary Game Theory Natural Selection And Darwinian Dynamics
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Author : Thomas L. Vincent
language : en
Publisher: Cambridge University Press
Release Date : 2012-08-16
Evolutionary Game Theory Natural Selection And Darwinian Dynamics written by Thomas L. Vincent and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-16 with Science categories.
All of life is a game, and evolution by natural selection is no exception. The evolutionary game theory developed in this 2005 book provides the tools necessary for understanding many of nature's mysteries, including co-evolution, speciation, extinction and the major biological questions regarding fit of form and function, diversity, procession, and the distribution and abundance of life. Mathematics for the evolutionary game are developed based on Darwin's postulates leading to the concept of a fitness generating function (G-function). G-function is a tool that simplifies notation and plays an important role developing Darwinian dynamics that drive natural selection. Natural selection may result in special outcomes such as the evolutionarily stable strategy (ESS). An ESS maximum principle is formulated and its graphical representation as an adaptive landscape illuminates concepts such as adaptation, Fisher's Fundamental Theorem of Natural Selection, and the nature of life's evolutionary game.
Evolution Games And God
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Author : Martin A. Nowak
language : en
Publisher: Harvard University Press
Release Date : 2013-05-07
Evolution Games And God written by Martin A. Nowak and has been published by Harvard University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-07 with Science categories.
According to the reigning competition-driven model of evolution, selfish behaviors that maximize an organism’s reproductive potential offer a fitness advantage over self-sacrificing behaviors—rendering unselfish behavior for the sake of others a mystery that requires extra explanation. Evolution, Games, and God addresses this conundrum by exploring how cooperation, working alongside mutation and natural selection, plays a critical role in populations from microbes to human societies. Inheriting a tendency to cooperate, argue the contributors to this book, may be as beneficial as the self-preserving instincts usually thought to be decisive in evolutionary dynamics. Assembling experts in mathematical biology, history of science, psychology, philosophy, and theology, Martin Nowak and Sarah Coakley take an interdisciplinary approach to the terms “cooperation” and “altruism.” Using game theory, the authors elucidate mechanisms by which cooperation—a form of working together in which one individual benefits at the cost of another—arises through natural selection. They then examine altruism—cooperation which includes the sometimes conscious choice to act sacrificially for the collective good—as a key concept in scientific attempts to explain the origins of morality. Discoveries in cooperation go beyond the spread of genes in a population to include the spread of cultural transformations such as languages, ethics, and religious systems of meaning. The authors resist the presumption that theology and evolutionary theory are inevitably at odds. Rather, in rationally presenting a number of theological interpretations of the phenomena of cooperation and altruism, they find evolutionary explanation and theology to be strongly compatible.
Evolutionary Games And Population Dynamics
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Author : Josef Hofbauer
language : en
Publisher: Cambridge University Press
Release Date : 1998-05-28
Evolutionary Games And Population Dynamics written by Josef Hofbauer and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-05-28 with Mathematics categories.
Every form of behaviour is shaped by trial and error. Such stepwise adaptation can occur through individual learning or through natural selection, the basis of evolution. Since the work of Maynard Smith and others, it has been realised how game theory can model this process. Evolutionary game theory replaces the static solutions of classical game theory by a dynamical approach centred not on the concept of rational players but on the population dynamics of behavioural programmes. In this book the authors investigate the nonlinear dynamics of the self-regulation of social and economic behaviour, and of the closely related interactions between species in ecological communities. Replicator equations describe how successful strategies spread and thereby create new conditions which can alter the basis of their success, i.e. to enable us to understand the strategic and genetic foundations of the endless chronicle of invasions and extinctions which punctuate evolution. In short, evolutionary game theory describes when to escalate a conflict, how to elicit cooperation, why to expect a balance of the sexes, and how to understand natural selection in mathematical terms.