Evolutionary Game Theory, Natural Selection, and Darwinian Dynamics

Evolutionary Game Theory, Natural Selection, and Darwinian Dynamics

by Thomas L. Vincent, Joel S. Brown
     
 

ISBN-10: 110740651X

ISBN-13: 9781107406513

Pub. Date: 08/16/2012

Publisher: Cambridge University Press

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…  See more details below

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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Product Details

ISBN-13:
9781107406513
Publisher:
Cambridge University Press
Publication date:
08/16/2012
Edition description:
Reprint
Pages:
402
Product dimensions:
5.98(w) x 9.02(h) x 0.83(d)

Table of Contents

1Understanding natural selection1
2Underlying mathematics and philosophy26
3The Darwinian game61
4G-functions for the Darwinian game88
5Darwinian dynamics112
6Evolutionarily stable strategies151
7The ESS maximum principle197
8Speciation and extinction231
9Matrix games275
10Evolutionary ecology304
11Managing evolving systems343

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