Information Geometry and Evolutionary Game Theory
arXiv:0911.1383
Abstract
The Shahshahani geometry of evolutionary game theory is realized as the information geometry of the simplex, deriving from the Fisher information metric of the manifold of categorical probability distributions. Some essential concepts in evolutionary game theory are realized information-theoretically. Results are extended to the Lotka-Volterra equation and to multiple population systems.
Added references
Cited by in corpus (6)
- Relative Entropy in Biological Systems
- Escort Evolutionary Game Theory
- The Replicator Equation as an Inference Dynamic
- Divergence, Entropy, Information: An Opinionated Introduction to Information Theory
- Information-geometric optimization with natural selection
- Huygens' equations and the gradient-flow equations in information geometry