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Books > Science & Mathematics > Mathematics > Applied mathematics
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Game-Theoretical Models in Biology (Hardcover, 2nd edition)
Loot Price: R2,940
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Game-Theoretical Models in Biology (Hardcover, 2nd edition)
Series: Chapman & Hall/CRC Mathematical Biology Series
Expected to ship within 12 - 17 working days
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Covering the major topics of evolutionary game theory,
Game-Theoretical Models in Biology, Second Edition presents both
abstract and practical mathematical models of real biological
situations. It discusses the static aspects of game theory in a
mathematically rigorous way that is appealing to mathematicians. In
addition, the authors explore many applications of game theory to
biology, making the text useful to biologists as well. The book
describes a wide range of topics in evolutionary games, including
matrix games, replicator dynamics, the hawk-dove game, and the
prisoner's dilemma. It covers the evolutionarily stable strategy, a
key concept in biological games, and offers in-depth details of the
mathematical models. Most chapters illustrate how to use Python to
solve various games. Important biological phenomena, such as the
sex ratio of so many species being close to a half, the evolution
of cooperative behaviour, and the existence of adornments (for
example, the peacock's tail), have been explained using ideas
underpinned by game theoretical modelling. Suitable for readers
studying and working at the interface of mathematics and the life
sciences, this book shows how evolutionary game theory is used in
the modelling of these diverse biological phenomena. In this
thoroughly revised new edition, the authors have added three new
chapters on the evolution of structured populations, biological
signalling games, and a topical new chapter on evolutionary models
of cancer. There are also new sections on games with time
constraints that convert simple games to potentially complex
nonlinear ones; new models on extortion strategies for the Iterated
Prisoner's Dilemma and on social dilemmas; and on evolutionary
models of vaccination, a timely section given the current Covid
pandemic. Features Presents a wide range of biological applications
of game theory. Suitable for researchers and professionals in
mathematical biology and the life sciences, and as a text for
postgraduate courses in mathematical biology. Provides numerous
examples, exercises, and Python code.
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