Lecture Notes in Biomathematics

The Stability Concept of Evolutionary Game Theory

A Dynamic Approach

Authors: Cressman, Ross

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About this book

These Notes grew from my research in evolutionary biology, specifically on the theory of evolutionarily stable strategies (ESS theory), over the past ten years. Personally, evolutionary game theory has given me the opportunity to transfer my enthusiasm for abstract mathematics to more practical pursuits. I was fortunate to have entered this field in its infancy when many biologists recognized its potential but were not prepared to grant it general acceptance. This is no longer the case. ESS theory is now a rapidly expanding (in both applied and theoretical directions) force that no evolutionary biologist can afford to ignore. Perhaps, to continue the life-cycle metaphor, ESS theory is now in its late adolescence and displays much of the optimism and exuberance of this exciting age. There are dangers in writing a text about a theory at this stage of development. A comprehensive treatment would involve too many loose ends for the reader to appreciate the central message. On the other hand, the current central message may soon become obsolete as the theory matures. Although the restricted topics I have chosen for this text reflect my own research bias, I am confident they will remain the theoretical basis of ESS theory. Indeed, I feel the adult maturity of ESS theory is close at hand and I hope the text will play an important role in this achievement.

Table of contents (6 chapters)

  • Introduction

    Cressman, Ross

    Pages 1-3

  • Frequency-Dependent Evolution in a Single Haploid Species

    Cressman, Ross

    Pages 4-30

  • Frequency-Dependent Evolution in a Two-Species Haploid System

    Cressman, Ross

    Pages 31-56

  • Frequency-Dependent Evolution in a Randomly-Mating Diploid Species

    Cressman, Ross

    Pages 57-76

  • Frequency- and Density-Dependent Evolution in a Haploid Species

    Cressman, Ross

    Pages 77-94

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-642-49981-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $99.00
price for USA
  • ISBN 978-3-540-55419-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
The Stability Concept of Evolutionary Game Theory
Book Subtitle
A Dynamic Approach
Authors
Series Title
Lecture Notes in Biomathematics
Series Volume
94
Copyright
1992
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-49981-4
DOI
10.1007/978-3-642-49981-4
Softcover ISBN
978-3-540-55419-6
Series ISSN
0341-633X
Edition Number
1
Number of Pages
VIII, 129
Topics