Evolutionary Game Theory, Natural Selection, and Darwinian Dynamics
“Evolutionary Game Theory, Natural Selection, and Darwinian Dynamics” by Thomas L. Vincent, published by Cambridge University Press on May 23, 2005, is a comprehensive exploration of the intersection between game theory and evolutionary biology. This 382-page work presents a mathematical framework for understanding key concepts in evolution, including co-evolution, speciation, and extinction. Vincent develops the evolutionary game theory based on Darwin’s postulates, introducing the fitness generating function (G-function) as a pivotal tool in analyzing the dynamics of natural selection.
Readers will find that this book delves into the complexities of life’s evolutionary processes, illustrating how natural selection can lead to outcomes such as the evolutionarily stable strategy (ESS). The text also discusses the adaptive landscape and its graphical representation, which aids in understanding adaptation and Fisher’s Fundamental Theorem of Natural Selection. By integrating mathematics with biological concepts, this edition provides valuable insights into the mechanisms that govern the diversity and abundance of life, making it a significant contribution to the fields of mathematics and life sciences.
Official synopsis Publisher
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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