Josef Hofbauer (Austria Universitat Wien), Karl Sigmund (Austria Universitat Wien)

Evolutionary Games and Population Dynamics

• Broschiertes Buch

Produktbeschreibung

It has been realised for some time how game theory can model natural selection. Evolutionary game theory replaces the concept of rational players with the population dynamics of behavioural programmes and can be used to understand the strategic and genetic foundations of the endless chronicle of invasions and extinctions which punctuate evolution.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 352
• Erscheinungstermin: 9. August 2003
• Englisch
• Abmessung: 246mm x 189mm x 20mm
• Gewicht: 680g
• ISBN-13: 9780521625708
• ISBN-10: 052162570X
• Artikelnr.: 22171235

Inhaltsangabe

Introduction for game theorists
Introduction for biologists
Part I. Dynamical Systems And Lotka-Volterra Equations: 1. The logistic equation
2. Lotka-Volterra for predator-prey systems
3. Lotka-Volterra for two competitors
4. Ecological equations for two species
5. Lotka-Volterra for more than two populations
Part II. Game Dynamics And Replicator Equations: 6. Evolutionarily stable strategies
7. Replicator equations
8. Other game dynamics
9. Adaptive dynamics
10. Asymmetric conflicts
11. More on bimatrix games
Part III. More On Lotka-Volterra And Replicator Dynamics: 12. Hypercircles and permanence
13. Criteria for permanence
14. Replicator networks
15. Stability in n-species communities
16. Some low-dimensional ecological systems
17. Heteroclinic cycles and C-matrices
Part IV. Population Genetics: 18. Discrete dynamical systems in population genetics
19. Continuous selection dynamics
20. Mutation and recombination
21. Fertility selection
22. Game dynamics for Mendelian populations
Bibliography
Index.