Evolutionary Games and Population Dynamics / Edition 1

Evolutionary Games and Population Dynamics / Edition 1

by Josef Hofbauer, Karl Sigmund, Karl Sigmund
     
 

How to understand evolution in mathematical terms, i.e. how to model natural selection by game theory.See more details below

Overview

How to understand evolution in mathematical terms, i.e. how to model natural selection by game theory.

Product Details

ISBN-13:
9780521625708
Publisher:
Cambridge University Press
Publication date:
05/28/1998
Edition description:
New Edition
Pages:
352
Product dimensions:
5.98(w) x 8.98(h) x 0.75(d)

Table of Contents

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.

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