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Evolutionary Game Theory, Natural Selection, and Darwinian Dynamics

Evolutionary Game Theory, Natural Selection, and Darwinian Dynamics

Hardcover

EvolutionGeneral Mathematics

ISBN10: 0521841704
ISBN13: 9780521841702
Publisher: Cambridge University Press
Published: May 23 2005
Pages: 402
Weight: 1.67
Height: 0.90 Width: 7.00 Depth: 9.22
Language: English
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.

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Evolution