Evolutionary Game Theory, Natural Selection, and Darwinian Dynamics
Thomas L. Vincent, Joel S. Brown
Résumé
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 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.
L'auteur - Thomas L. Vincent
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.
L'auteur - Joel S. Brown
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.
Sommaire
- Understanding natural selection
- Underlying mathematics and philosophy
- The Darwinian game
- G-functions for the Darwinian game
- Darwinian dynamics
- Evolutionary stable strategies
- The ESS maximum principle
- Speciation and extinction
- Matrix games
- Evolutionary ecology
- Managing evolving systems
Caractéristiques techniques
| PAPIER | |
| Éditeur(s) | Cambridge University Press |
| Auteur(s) | Thomas L. Vincent, Joel S. Brown |
| Parution | 21/06/2005 |
| Nb. de pages | 382 |
| Format | 15,5 x 23,5 |
| Couverture | Relié |
| Poids | 756g |
| Intérieur | Noir et Blanc |
| EAN13 | 9780521841702 |
| ISBN13 | 978-0-521-84170-2 |
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