(eBook PDF) Evolution Games Population Dynamics by Josef Hofbauer

(eBook PDF) Evolution Games Population Dynamics by Josef Hofbauer – Digital Ebook – Instant Delivery Download

product details:

• ISBN-10 ‏ : ‎ 052162570X
• ISBN-13 ‏ : ‎ 978-0521625708
• Author:  Josef Hofbauer (Author), Karl Sigmund (Author)

Every form of behavior is shaped by trial and error. Such stepwise adaptation can occur through individual learning or through natural selection, the basis of evolution. Since the work of Maynard Smith and others, it has been realized how game theory can model this process. Evolutionary game theory replaces the static solutions of classical game theory by a dynamical approach centered not on the concept of rational players but on the population dynamics of behavioral programs. In this book the authors investigate the nonlinear dynamics of the self-regulation of social and economic behavior, and of the closely related interactions among species in ecological communities. Replicator equations describe how successful strategies spread and thereby create new conditions that can alter the basis of their success, i.e., to enable us to understand the strategic and genetic foundations of the endless chronicle of invasions and extinctions that punctuate evolution. In short, evolutionary game theory describes when to escalate a conflict, how to elicit cooperation, why to expect a balance of the sexes, and how to understand natural selection in mathematical terms.

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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