Evolutionary Game Theory Natural Selection And Darwinian Dynamics

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Evolutionary Game Theory, Natural Selection, and Darwinian Dynamics

Thomas L. Vincent,Joel S. Brown
Evolutionary Game Theory Natural Selection and Darwinian Dynamics Book PDF

Author : Thomas L. Vincent,Joel S. Brown
Publisher : Cambridge University Press
Page : 424 pages
File Size : 51,9 Mb
Release : 2005-05-23
Category : Science
ISBN : 1139444298

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Evolutionary Game Theory, Natural Selection, and Darwinian Dynamics by Thomas L. Vincent,Joel S. Brown Pdf

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.

Evolutionary Game Theory, Natural Selection, and Darwinian Dynamics

Thomas L. Vincent,Joel S. Brown
Evolutionary Game Theory Natural Selection and Darwinian Dynamics Book PDF

Author : Thomas L. Vincent,Joel S. Brown
Publisher : Cambridge University Press
Page : 0 pages
File Size : 53,9 Mb
Release : 2012-08-16
Category : Science
ISBN : 110740651X

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Evolutionary Game Theory, Natural Selection, and Darwinian Dynamics by Thomas L. Vincent,Joel S. Brown Pdf

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.

Evolutionary Game Theory, Natural Selection, and Darwinian Dynamics

Thomas L. Vincent,Joel S. Brown
Evolutionary Game Theory Natural Selection and Darwinian Dynamics Book PDF

Author : Thomas L. Vincent,Joel S. Brown
Publisher : Unknown
Page : 382 pages
File Size : 42,9 Mb
Release : 2005-05-23
Category : Mathematics
ISBN : 0521841704

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Evolutionary Game Theory, Natural Selection, and Darwinian Dynamics by Thomas L. Vincent,Joel S. Brown Pdf

This 2005 book investigates many topics in natural selection within the context of Darwinian dynamics and evolutionary game theory.

Evolutionary Games and Population Dynamics

Josef Hofbauer,Karl Sigmund
Evolutionary Games and Population Dynamics Book PDF

Author : Josef Hofbauer,Karl Sigmund
Publisher : Cambridge University Press
Page : 356 pages
File Size : 41,5 Mb
Release : 1998-05-28
Category : Mathematics
ISBN : 052162570X

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Evolutionary Games and Population Dynamics by Josef Hofbauer,Karl Sigmund Pdf

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.

Darwinian Dynamics

Richard E. Michod
Darwinian Dynamics Book PDF

Author : Richard E. Michod
Publisher : Princeton University Press
Page : 282 pages
File Size : 46,6 Mb
Release : 2021-01-12
Category : Science
ISBN : 9780691223865

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Darwinian Dynamics by Richard E. Michod Pdf

The concept of fitness has long been a topic of intense debate among evolutionary biologists and their critics, with its definition and explanatory power coming under attack. In this book, Richard Michod offers a fresh, dynamical interpretation of evolution and fitness concepts. He argues that evolution has no enduring products; what matters is the process of genetic change. Whereas many biologists have focused on competition and aggression as determining factors in survival, Michod, by concentrating on the emergence of individuality at new and more complex levels, finds that cooperation plays even a greater role. Michod first considers the principles behind the hierarchically nested levels of organization that constitute life: genes, chromosomes, genomes, cells, multicellular organisms, and societies. By examining the evolutionary transitions from the molecular level up to the whole organism, the author explains how cooperation and conflict in a multilevel setting leads to new levels of fitness. He builds a model of fitness drawing on recent developments in ecology and multilevel selection theory and on new explanations of the origin of life. Michod concludes with a discussion of the philosophical implications of his theory of fitness, a theory that addresses the most fundamental and unique concept in all of biology.

Did Darwin Get It Right?

John Maynard Smith
Did Darwin Get It Right Book PDF

Author : John Maynard Smith
Publisher : Springer Science & Business Media
Page : 265 pages
File Size : 46,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781468478624

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Did Darwin Get It Right? by John Maynard Smith Pdf

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.

Evolution, Games, and God

Martin A. Nowak
Evolution Games and God Book PDF

Author : Martin A. Nowak
Publisher : Harvard University Press
Page : 415 pages
File Size : 53,6 Mb
Release : 2013-05-07
Category : Science
ISBN : 9780674075498

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Evolution, Games, and God by Martin A. Nowak Pdf

Evolution, Games, and God explores how cooperation and altruism, alongside mutation and natural selection, play a critical role in evolution, from microbes to human societies. Inheriting a tendency to cooperate and self-sacrifice on behalf of others may be as beneficial to a population’s survival as the self-preserving instincts of individuals.

The Evolution of Cooperation

Robert Axelrod
The Evolution of Cooperation Book PDF

Author : Robert Axelrod
Publisher : Basic Books
Page : 304 pages
File Size : 41,9 Mb
Release : 2009-04-29
Category : Business & Economics
ISBN : 9780786734887

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The Evolution of Cooperation by Robert Axelrod Pdf

A famed political scientist's classic argument for a more cooperative world We assume that, in a world ruled by natural selection, selfishness pays. So why cooperate? In The Evolution of Cooperation, political scientist Robert Axelrod seeks to answer this question. In 1980, he organized the famed Computer Prisoners Dilemma Tournament, which sought to find the optimal strategy for survival in a particular game. Over and over, the simplest strategy, a cooperative program called Tit for Tat, shut out the competition. In other words, cooperation, not unfettered competition, turns out to be our best chance for survival. A vital book for leaders and decision makers, The Evolution of Cooperation reveals how cooperative principles help us think better about everything from military strategy, to political elections, to family dynamics.

Evolutionary Game Dynamics

American Mathematical Society. Short Course
Evolutionary Game Dynamics Book PDF

Author : American Mathematical Society. Short Course
Publisher : American Mathematical Soc.
Page : 186 pages
File Size : 47,7 Mb
Release : 2011-10-27
Category : Mathematics
ISBN : 9780821853269

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Evolutionary Game Dynamics by American Mathematical Society. Short Course Pdf

This volume is based on lectures delivered at the 2011 AMS Short Course on Evolutionary Game Dynamics, held January 4-5, 2011 in New Orleans, Louisiana. Evolutionary game theory studies basic types of social interactions in populations of players. It combines the strategic viewpoint of classical game theory (independent rational players trying to outguess each other) with population dynamics (successful strategies increase their frequencies). A substantial part of the appeal of evolutionary game theory comes from its highly diverse applications such as social dilemmas, the evolution of language, or mating behaviour in animals. Moreover, its methods are becoming increasingly popular in computer science, engineering, and control theory. They help to design and control multi-agent systems, often with a large number of agents (for instance, when routing drivers over highway networks or data packets over the Internet). While these fields have traditionally used a top down approach by directly controlling the behaviour of each agent in the system, attention has recently turned to an indirect approach allowing the agents to function independently while providing incentives that lead them to behave in the desired way. Instead of the traditional assumption of equilibrium behaviour, researchers opt increasingly for the evolutionary paradigm and consider the dynamics of behaviour in populations of agents employing simple, myopic decision rules.

Darwinian Populations and Natural Selection

Peter Godfrey-Smith
Darwinian Populations and Natural Selection Book PDF

Author : Peter Godfrey-Smith
Publisher : OUP Oxford
Page : 218 pages
File Size : 53,8 Mb
Release : 2009-03-26
Category : Philosophy
ISBN : 9780191609558

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Darwinian Populations and Natural Selection by Peter Godfrey-Smith Pdf

In 1859 Darwin described a deceptively simple mechanism that he called "natural selection," a combination of variation, inheritance, and reproductive success. He argued that this mechanism was the key to explaining the most puzzling features of the natural world, and science and philosophy were changed forever as a result. The exact nature of the Darwinian process has been controversial ever since, however. Godfrey-Smith draws on new developments in biology, philosophy of science, and other fields to give a new analysis and extension of Darwin's idea. The central concept used is that of a "Darwinian population," a collection of things with the capacity to undergo change by natural selection. From this starting point, new analyses of the role of genes in evolution, the application of Darwinian ideas to cultural change, and "evolutionary transitions" that produce complex organisms and societies are developed. Darwinian Populations and Natural Selection will be essential reading for anyone interested in evolutionary theory

Encyclopedia of Complexity and Systems Science

Anonim
Encyclopedia of Complexity and Systems Science Book PDF

Author : Anonim
Publisher : Springer
Page : 10398 pages
File Size : 41,8 Mb
Release : 2009-06-26
Category : Science
ISBN : 0387758887

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Encyclopedia of Complexity and Systems Science by Anonim Pdf

This encyclopedia provides an authoritative single source for understanding and applying the concepts of complexity theory together with the tools and measures for analyzing complex systems in all fields of science and engineering. It links fundamental concepts of mathematics and computational sciences to applications in the physical sciences, engineering, biomedicine, economics and the social sciences.

Game Equilibrium Models I

Reinhard Selten
Game Equilibrium Models I Book PDF

Author : Reinhard Selten
Publisher : Springer Science & Business Media
Page : 338 pages
File Size : 46,7 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9783662026748

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Game Equilibrium Models I by Reinhard Selten Pdf

There are two main approaches towards the phenotypic analysis of frequency dependent natural selection. First, there is the approach of evolutionary game theory, which was introduced in 1973 by John Maynard Smith and George R. Price. In this theory, the dynamical process of natural selection is not modeled explicitly. Instead, the selective forces acting within a population are represented by a fitness function, which is then analysed according to the concept of an evolutionarily stable strategy or ESS. Later on, the static approach of evolutionary game theory has been complemented by a dynamic stability analysis of the replicator equations. Introduced by Peter D. Taylor and Leo B. Jonker in 1978, these equations specify a class of dynamical systems, which provide a simple dynamic description of a selection process. Usually, the investigation of the replicator dynamics centers around a stability analysis of their stationary solutions. Although evolutionary stability and dynamic stability both intend to characterize the long-term outcome of frequency dependent selection, these concepts differ considerably in the 'philosophies' on which they are based. It is therefore not too surprising that they often lead to quite different evolutionary predictions (see, e. g. , Weissing 1983). The present paper intends to illustrate the incongruities between the two approaches towards a phenotypic theory of natural selection. A detailed game theoretical and dynamical analysis is given for a generic class of evolutionary normal form games.

Evolutionary Game Theory

Jörgen W. Weibull
Evolutionary Game Theory Book PDF

Author : Jörgen W. Weibull
Publisher : MIT Press
Page : 292 pages
File Size : 53,7 Mb
Release : 1997
Category : Business & Economics
ISBN : 0262731215

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Evolutionary Game Theory by Jörgen W. Weibull Pdf

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.

Handbook of Dynamic Game Theory

Tamer Basar,Georges Zaccour
Handbook of Dynamic Game Theory Book PDF

Author : Tamer Basar,Georges Zaccour
Publisher : Unknown
Page : 128 pages
File Size : 49,9 Mb
Release : 19??
Category : Differential games
ISBN : 3319273353

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Handbook of Dynamic Game Theory by Tamer Basar,Georges Zaccour Pdf

Résumé : "This will be a two-part handbook on Dynamic Game Theory and part of the Springer Reference program. Part I will be on the fundamentals and theory of dynamic games. It will serve as a quick reference and a source of detailed exposure to topics in dynamic games for a broad community of researchers, educators, practitioners, and students. Each topic will be covered in 2-3 chapters with one introducing basic theory and the other one or two covering recent advances and/or special topics. Part II will be on applications in fields such as economics, management science, engineering, biology, and the social sciences."

Game Equilibrium Models I

Reinhard Selten
Game Equilibrium Models I Book PDF

Author : Reinhard Selten
Publisher : Springer
Page : 330 pages
File Size : 42,5 Mb
Release : 2010-12-01
Category : Mathematics
ISBN : 3642081088

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Game Equilibrium Models I by Reinhard Selten Pdf

There are two main approaches towards the phenotypic analysis of frequency dependent natural selection. First, there is the approach of evolutionary game theory, which was introduced in 1973 by John Maynard Smith and George R. Price. In this theory, the dynamical process of natural selection is not modeled explicitly. Instead, the selective forces acting within a population are represented by a fitness function, which is then analysed according to the concept of an evolutionarily stable strategy or ESS. Later on, the static approach of evolutionary game theory has been complemented by a dynamic stability analysis of the replicator equations. Introduced by Peter D. Taylor and Leo B. Jonker in 1978, these equations specify a class of dynamical systems, which provide a simple dynamic description of a selection process. Usually, the investigation of the replicator dynamics centers around a stability analysis of their stationary solutions. Although evolutionary stability and dynamic stability both intend to characterize the long-term outcome of frequency dependent selection, these concepts differ considerably in the 'philosophies' on which they are based. It is therefore not too surprising that they often lead to quite different evolutionary predictions (see, e. g. , Weissing 1983). The present paper intends to illustrate the incongruities between the two approaches towards a phenotypic theory of natural selection. A detailed game theoretical and dynamical analysis is given for a generic class of evolutionary normal form games.