Abstract
During the last thirty years, based on a paper of the biologist J. Maynard Smith with the title “Game Theory and the Evolution of Fighting”, a theory of evolution games has been developed. This starts with a population of individuals who have a finite number I 1, I 2, . . . , I n of strategies in order to survive in the struggle of life. Let u i = [0, 1], for every i = 1, . . . , n be the probability for the strategy I i to be chosen in the population. Then the corresponding state of the population is defined by the vector u = (u 1, . . . , u n) where \( \sum\limits_{i = 1}^n {u_i } = 1 \) .
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
J.M. Bomze: Detecting all Evolutionarily Stable Strategies. Journal of Optimisation Theory and Applications. 75, 313–329 (1992).
J. Hofbauer and K. Sigmund: Evolutionstheorie und dynamische Systeme. Verlag Paul Parey: Berlin und Hamburg 1984.
W. Krabs: Spieltheorie. Dynamische Behandlung von Spielen. Verlag B.G. Teubner: Stuttgart, Leipzig, Wiesbaden 2005.
J. Li: Das dynamische Verhalten diskreter Evolutionsspiele. Shaker Verlag: Aachen 1999.
J. Maynard Smith: Game Theory and the Evolution of Fighting On Evolution. Edinburgh University Press. Edinburgh 1972, 8–28.
Rights and permissions
Copyright information
© 2007 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
(2007). A Game-Theoretic Evolution Model. In: Modelling, Analysis and Optimization of Biosystems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71453-8_2
Download citation
DOI: https://doi.org/10.1007/978-3-540-71453-8_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-71452-1
Online ISBN: 978-3-540-71453-8
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)