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The Stability Concept of Evolutionary Game Theory: A Dynamic Approach
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(Buch) |
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Inhalt: |
The book provides a thorough analysis of the theoretical
properties of evolutionarily stable strategies (ESS's) in
four models of evolutionary biology that are all based on
individual selection principles. These models range from the
standard frequency-dependent evolutionary game theory model
of a single species to more recent models that include
density-dependent and/or two-species frequency-dependent
interactions. The book is unique in that it emphasizes both
static and dynamic aspects of the ESS conditions. Of
particular interest to game theorists will be the
correspondence between dynamic stability in the biological
system and either the Nash equilibrium of non-cooperative
game theory or the core solution concept of cooperative game
theory. The book is the first to consider, in detail, the
game-theoretic effects of contestant information and
two-species interactions. Of major significance to
evolutionary biologists are the dynamic consequences, on
the evolutionary process, of territorial ownership or
repeated interactions between the same individuals.
The book is intended as a text/reference for students/re-
searchers in either discipline(evolutionary biology or game
theory) who have a minimum mathematical maturity of a senior
undergraduate.
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