Game-Theoretical Models in Biology, 2nd Edition

Game theory, a branch of mathematics that analyzes strategic interactions between rational decision-makers, has found a significant application in the field of biology. The book “Game-Theoretical Models in Biology, 2nd Edition” by Mark Broom and Jan Rychtář delves into evolutionary game theory, providing a detailed examination of mathematical models applied to biological scenarios.

The authors discuss key concepts such as matrix games, replicator dynamics, the evolutionarily stable strategy, and classic games like the hawk-dove game and the prisoner’s dilemma. By exploring the interplay between mathematics and biology, the book showcases how evolutionary game theory can be used to model various natural phenomena, from species’ sex ratios to the evolution of complex traits.

In the updated second edition, three new chapters have been added to cover topics like the evolution of structured populations, natural signaling games, and evolutionary models of cancer. The book also addresses contemporary issues by discussing games with time constraints, strategies in social dilemmas, and evolutionary models of vaccination, highlighting the relevance of game theory in tackling real-world challenges such as the Covid-19 pandemic.

With its focus on practical applications, the book is suitable for mathematicians, biologists, researchers, and professionals in mathematical biology and related fields. It features numerous examples, exercises, and even Python code for readers looking to implement the concepts discussed in the text.

For individuals interested in the intersection of mathematics and the life sciences, “Game-Theoretical Models in Biology, 2nd Edition” serves as a valuable resource, offering a comprehensive understanding of how game theory principles can be applied to illuminate biological phenomena and evolutionary processes.

—

## FAQ

**Q: Who are the authors of Game-Theoretical Models in Biology, 2nd Edition?**
A: The book is authored by Mark Broom, a professor of mathematics at City, University of London, and Jan Rychtář, a professor of mathematics at Virginia Commonwealth University.

**Q: What are some of the key topics covered in the book?**
A: The book covers evolutionary game theory concepts such as matrix games, replicator dynamics, evolutionarily stable strategies, and applications of game theory to biological phenomena like sex ratios, cooperative behavior, and more.

**Q: Is this book suitable for students in mathematical biology?**
A: Yes, the book is designed for researchers, professionals, and postgraduate students in mathematical biology and related fields.

—

## Conclusion

“Game-Theoretical Models in Biology, 2nd Edition” provides a thorough exploration of the application of game theory in biological contexts, offering valuable insights into evolutionary processes, natural phenomena, and mathematical modeling in biology. With its practical examples, exercises, and Python code resources, the book is an essential read for those intrigued by the convergence of mathematics and the life sciences.