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Evolutionary Game Theory, Natural Selection, and Darwinian Dynamics - Thomas L. Vincent, Joel S. Brown

Evolutionary Game Theory, Natural Selection, and Darwinian Dynamics

Buch | Softcover
402 Seiten
2012
Cambridge University Press (Verlag)
978-1-107-40651-3 (ISBN)
CHF 88,95 inkl. MwSt
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.

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 16.8.2012
Verlagsort Cambridge
Sprache englisch
Maße 152 x 229 mm
Gewicht 540 g
Themenwelt Mathematik / Informatik Mathematik Angewandte Mathematik
Mathematik / Informatik Mathematik Finanz- / Wirtschaftsmathematik
Naturwissenschaften Biologie Evolution
ISBN-10 1-107-40651-X / 110740651X
ISBN-13 978-1-107-40651-3 / 9781107406513
Zustand Neuware
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