Evolutionary Game Theory, Natural Selection, and Darwinian Dynamics

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Overview

The evolutionary game theory developed in this book provides the tools necessary for understanding many of Nature's mysteries. These include co-evolution, 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 is 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.
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Editorial Reviews

From the Publisher
Review of the hardback: 'It's complicated, but it's where biology is at, and Vincent and Brown clarify the issues wonderfully.' Biologist

Review of the hardback: '… even-handedness, together with its peerless reasoning, helps this book stand out in a crowded field … masterly book. … time and again, Shanahan convinces us that Darwin's approach was relentlessly reconciliatory, pluralistic, and non dogmatic … Because it is equally ardent and articulate, Shanahan's own relentlessly moderate voice is likely to survive the fashionable Sturn und Drang.' Journal of the History of the Behavioral Sciences

Review of the hardback: '… provides a formal game-theoretic framework for addressing an impressive array of biological questions.' Journal of Mammalian Evolution

Review of the hardback: 'The book is written in an enthusiastic style. In several places you can still perceive the excitement the authors must have felt when they embarked on their work in evolutionary dynamics … a must-read for those interested in the history of evolutionary game theory …' www.PalArch.nl

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Product Details

  • ISBN-13: 9781107406513
  • Publisher: Cambridge University Press
  • Publication date: 8/16/2012
  • Edition description: Reprint
  • Pages: 402
  • Product dimensions: 5.98 (w) x 9.02 (h) x 0.83 (d)

Meet the Author

Dr Vincent is Professor Emeritus with the Aerospace and Mechanical Engineering at the University of Arizona. His main research interests are in the area 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.

Dr 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.

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Table of Contents

1 Understanding natural selection 1
2 Underlying mathematics and philosophy 26
3 The Darwinian game 61
4 G-functions for the Darwinian game 88
5 Darwinian dynamics 112
6 Evolutionarily stable strategies 151
7 The ESS maximum principle 197
8 Speciation and extinction 231
9 Matrix games 275
10 Evolutionary ecology 304
11 Managing evolving systems 343
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