Evolutionary Game Theory Natural Selection and Darwinian Dynamics

All of life is a game and evolution by natural selection is no exception. The evolutionary game theory developed in this book provides the tools necessary for understanding many of natures 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 Fishers Fundamental Theorem of Natural Selection and the nature of lifes evolutionary game.