Information Geometry and Evolutionary Game Theory
Information Theory
2009-11-10 v1 Computer Science and Game Theory
Dynamical Systems
math.IT
Adaptation and Self-Organizing Systems
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.
Cite
@article{arxiv.0911.1383,
title = {Information Geometry and Evolutionary Game Theory},
author = {Marc Harper},
journal= {arXiv preprint arXiv:0911.1383},
year = {2009}
}
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