Evolutionary Game Dynamics
About this Title
Karl Sigmund, University of Vienna, Vienna, Austria, Editor
Publication: Proceedings of Symposia in Applied Mathematics
Publication Year: 2011; Volume 69
ISBNs: 978-0-8218-5326-9 (print); 978-0-8218-9285-5 (online)
This volume is based on lectures delivered at the 2011 AMS Short Course on Evolutionary Game Dynamics, held January 4–5, 2011 in New Orleans, Louisiana.
Evolutionary game theory studies basic types of social interactions in populations of players. It combines the strategic viewpoint of classical game theory (independent rational players trying to outguess each other) with population dynamics (successful strategies increase their frequencies). A substantial part of the appeal of evolutionary game theory comes from its highly diverse applications such as social dilemmas, the evolution of language, or mating behaviour in animals. Moreover, its methods are becoming increasingly popular in computer science, engineering, and control theory. They help to design and control multi-agent systems, often with a large number of agents (for instance, when routing drivers over highway networks or data packets over the Internet).
While these fields have traditionally used a top down approach by directly controlling the behaviour of each agent in the system, attention has recently turned to an indirect approach allowing the agents to function independently while providing incentives that lead them to behave in the desired way. Instead of the traditional assumption of equilibrium behaviour, researchers opt increasingly for the evolutionary paradigm and consider the dynamics of behaviour in populations of agents employing simple, myopic decision rules.
Graduate students and research mathematicians interested in game theory and dynamical systems.
Table of Contents
- Karl Sigmund – Introduction to evolutionary game theory [MR 2882632]
- Ross Cressman – Beyond the symmetric normal form: extensive form games, asymmetric games and games with continuous strategy spaces [MR 2882633]
- Josef Hofbauer – Deterministic evolutionary game dynamics [MR 2882634]
- Sylvain Sorin – On some global and unilateral adaptive dynamics [MR 2882635]
- William H. Sandholm – Stochastic evolutionary game dynamics: foundations, deterministic approximation, and equilibrium selection [MR 2882636]
- Sabin Lessard – Evolution of cooperation in finite populations [MR 2882637]