Vince - Evolutionary Game Theory, Natural Selection, and Darwinian Dynamics (Cambridge, 2005).pdf - AI, Pattern matching, Data Modelling & Analysis - Yohoho25

Evolutionary Game Theory, Natural Selection, and Darwinian Dynamics

All of life is a game and evolution by natural selection is no exception. Games have

players, strategies, payoffs, and rules. In the game of life, organisms are the players,

their heritable traits provide strategies, their births and deaths are the payoffs, and the

environment sets the rules. The evolutionary game theory developed in this book

provides the tools necessary for understanding many of Nature’s mysteries. These

include coevolution, speciation, and extinction as well as the major biological

questions regarding ﬁt of form and function, diversity of life, procession of life, 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). The G -function is a tool that simpliﬁes notation and plays an

important role in the development of the Darwinian dynamics that drive natural

selection. Natural selection may result in special outcomes such as the evolutionarily

stable strategy or 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.

THOMAS L. VINCENT is Professor Emeritus of Aerospace and Mechanical

Engineering at the University of Arizona. His main research interests are in the areas

of nonlinear control system design, optimal control and game theory, and evolution

and adaptation of biological systems. He has 153 publications including 79 journal

articles and 8 books.

JOEL S. BROWN is a Professor of Biology at the University of Illinois at Chicago.

His main research interests lie in applying concepts from natural selection to

behavioral, population, and community ecology with applications to conservation

biology. Speciﬁc interests include the ecology of fear that studies the ecological and

evolutionary implications of the non-lethal effects of predators on prey. He has 102

publications, including 88 journal articles.

Evolutionary Game Theory,

Natural Selection,

and Darwinian Dynamics

THOMAS L. VINCENT

Aerospace and Mechanical Engineering

University of Arizona

JOEL S. BROWN

Biological Sciences

University of Illinois at Chicago

Cambridge, New York, Melbourne, Madrid, Cape Town, Singapore, São Paulo

Cambridge University Press

The Edinburgh Building, Cambridge

, UK

Published in the United States of America by Cambridge University Press, New York

www.cambridge.org

This book is in copyright. Subject to statutory exception and to the provision of

relevant collective licensing agreements, no reproduction of any part may take place

without the written permission of Cambridge University Press.

First published in print format

2005

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hardback

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hardback

Cambridge University Press has no responsibility for the persistence or accuracy of

s for external or third-party internet websites referred to in this book, and does not

guarantee that any content on such websites is, or will remain, accurate or appropriate.

Information on this title: www.cambridge.org/9780521841702

Vince - Evolutionary Game Theory, Natural Selection, and Darwinian Dynamics (Cambridge, 2005).pdf

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