博弈论书籍.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

List of figures page x
Preface xv
1 Understanding natural selection 1
1.1 Natural selection 2
1.2 Genetical approaches to natural selection 7
1.3 Natural selection as an evolutionary game 10
1.4 Road map 21
2 Underlying mathematics and philosophy 26
2.1 Scalars, vectors, and matrices 28
2.2 Dynamical systems 33
2.3 Biological population models 39
2.4 Examples of population models 42
2.5 Classical stability concepts 49
3 The Darwinian game 61
3.1 Classical games 62
3.2 Evolutionary games 72
3.3 Evolution by natural selection 83
4 G-functions for the Darwinian game 88
4.1 How to create a G-function 89
4.2 Types of G-functions 91
4.3 G-functions with scalar strategies 92
4.4 G-functions with vector strategies 93
4.5 G-functions with resources 96
4.6 Multiple G-functions 99
4.7 G-functions in terms of population frequency 103