Game-Theoretical Models in Biology, 2nd Edition
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ISBN-100367456680
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ISBN-13978-0367456689Covering the main aspects of evolutionary game theory, Game-Theoretic Models in Biology, Second Edition presents both theoretical and practical mathematical models of real biological scenarios. It discusses the static elements of game theory in a mathematically rigorous way that is appealing to mathematicians. Additionally, the authors explore many applications of game theory to biology, making the text valuable to biologists as well.
The book describes a variety of issues 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 provides in-depth details of the mathematical models. Most chapters illustrate how to utilize Python to solve various games.
Significant biological phenomena, such as the sex ratio of many species being near a half, the evolution of cooperative behavior, and the existence of adornments (for example, the peacock’s tail), have been explained using concepts underpinned by game theoretical modelling. Suitable for readers studying and working at the interface of mathematics and the life sciences, this book demonstrates how evolutionary game theory is used in the modeling of these diverse biological phenomena.
In this completely 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 topic given the current Covid pandemic.
Features
- Presents a variety of biological applications of game theory.
- Suitable for researchers and professionals in mathematical biology and the life sciences, and as a text for postgraduate programs in mathematical biology.
- Provides numerous examples, exercises, and Python code.Mark Broom is a professor of mathematics at City, University of London. For over 30 years, he has conducted mathematical analysis in game theory applied to biology. His primary research themes include multi-player games, patterns of evolutionarily stable strategies, models of parasitic behavior (particularly kleptoparasitism), the evolution of defense and signaling, and evolutionary processes in structured populations. He earned his PhD in mathematics from the University of Sheffield.
Jan Rychtář□
is a professor of mathematics at Virginia Commonwealth University. Prior to joining VCU, he was a Professor at UNC Greensboro. He works on game theoretical models and mathematical models of kleptoparasitism. His current research interests include mathematical biology and game theory. He earned his PhD in mathematics from the University of Alberta.
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