Game-Theoretical Models in Biology

Mark Broom is a professor of mathematics at City University London. For 20 years, he has carried out mathematical research in game theory applied to biology. His major research themes include multi-player games, patterns of evolutionarily stable strategies, models of parasitic behavior (especially kleptoparasitism), the evolution of defense and signaling, and evolutionary processes on graphs. He received his PhD in mathematics from the University of Sheffield. Jan Rychtář is an associate professor of mathematics at the University of North Carolina at Greensboro, where he helped start a math-biology research group involving faculty and students from the biology and mathematics departments. He works on game theoretical models and mathematical models of kleptoparasitism. His recent research themes focus on models of brood parasitism in dung beetles, models of mate selection in honey bees, and evolutionary processes on graphs. He received his PhD in mathematics from the University of Alberta.

Introduction. What Is a Game? Two Approaches to Game Analysis. Some Classical Games. The Underlying Biology. Matrix Games. Nonlinear Games. Asymmetric Games. Multi-Player Games. Extensive Form Games and Other Concepts in Game Theory. State-Based Games. Games in Finite and Structured Populations. Adaptive Dynamics. The Evolution of Cooperation. Group Living. Mating Games. Food Competition. Predator-Prey and Host-Parasite Interactions. Epidemic Models. Conclusions. Appendix. Bibliography. Index.