Evolutionary Game Theory, Natural Selection, and Darwinian Dynamics

Thomas L. Vincent, Joel S. Brown (Autoren)

Buch | Hardcover

402 Seiten

2005
Cambridge University Press (Verlag)
978-0-521-84170-2 (ISBN)

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In this 2005 book, many topics in natural selection are investigated including co-evolution, speciation, and extinction. It may be described as a book on mathematical Darwinism. Darwin used logical verbal arguments to understand evolution. These arguments are presented here in a mathematical setting useful for both understanding evolution and allowing for prediction as well.

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.

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.

1. Understanding natural selection; 2. Underlying mathematics and philosophy; 3. The Darwinian game; 4. G-functions for the Darwinian game; 5. Darwinian dynamics; 6. Evolutionary stable strategies; 7. The ESS maximum principle; 8. Speciation and extinction; 9. Matrix games; 10. Evolutionary ecology; 11. Managing evolving systems.

Erscheint lt. Verlag	23.5.2005
Verlagsort	Cambridge
Sprache	englisch
Maße	152 x 229 mm
Gewicht	762 g
Themenwelt	Naturwissenschaften ► Biologie ► Evolution
ISBN-10	0-521-84170-4 / 0521841704
ISBN-13	978-0-521-84170-2 / 9780521841702
Zustand	Neuware