The Replicator Equation as an Inference Dynamic
Dynamical Systems
2010-05-05 v3 Information Theory
math.IT
Abstract
The replicator equation is interpreted as a continuous inference equation and a formal similarity between the discrete replicator equation and Bayesian inference is described. Further connections between inference and the replicator equation are given including a discussion of information divergences and exponential families as solutions for the replicator dynamic, using Fisher information and information geometry.
Cite
@article{arxiv.0911.1763,
title = {The Replicator Equation as an Inference Dynamic},
author = {Marc Harper},
journal= {arXiv preprint arXiv:0911.1763},
year = {2010}
}
Comments
Added a discussion of the discrete dynamic.