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.

First published in 2005, this book investigates many topics in natural selection within the context of Darwinian dynamics and evolutionary game theory.

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