文档介绍：Evolutionary Game Theory, Natural Selection, and Darwinian Dynamics
All of life is a game and evolution by natural selection is no exception. Games have
players, strategies, payoffs, and rules. In the game of life, organisms are the players,
their heritable traits provide strategies, their births and deaths are the payoffs, and the
environment sets the rules. The evolutionary game theory developed in this book
provides the tools necessary for understanding many of Nature’s mysteries. These
include coevolution, speciation, and extinction as well as the major biological
questions regarding fit of form and function, diversity of life, procession of life, 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). The G-function is a tool that simplifies notation and plays an
important role in the development of the Darwinian dynamics that drive natural
selection. Natural selection may result in special es such as the evolutionarily
stable strategy or 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.
Thomas L. Vincent is Professor Emeritus of Aerospace and Mechanical
Engineering at the University of Arizona. His main research interests are in the areas
of nonlinear control system design, optimal control and game theory, and evolution
and adaptation of biological systems. He has 153 publications including 79 journal
articles and 8 books.
Joel S. Brown is a Professor of Biology at the University of Illinois at Chicago.
His main research interests lie in applying concepts from natural selection to
behavioral, population, munity ecology with applications to conservation
biology. Specific interests include the ecology of fear that studie