Natural gradient ascent in evolutionary games
URL: https://www.sciencedirect.com/science/article/pii/S0303264724000121?via%3Dihub
Title: Natural gradient ascent in evolutionary games
Author(s): Vladimir Jaćimović
DOI: https://doi.org/10.1016/j.biosystems.2024.105127
Publication Date: 23 January 2024
Resource Type: Link
Format: Research paper
Working Group: WG1-WG2
Affiliation(s): Faculty of Natural Sciences and Mathematics University of Montenegro, Cetinjski put bb., 81000 Podgorica, Montenegro
Access Status: Restricted
Keywords:
Description: We consider evolutionary games with a continuous trait space where the replicator dynamics are restricted to the manifold of multivariate Gaussian distributions. We demonstrate that replicator dynamics are gradient flows with respect to the Fisher information metric. The potential function for these gradient flows is closely related to the mean fitness. Our findings extend previous results on natural gradient ascent in evolutionary games with a finite strategy set. Throughout the paper we pursue an information-geometric point of view on evolutionary games. This sheds a new light on the replicator dynamics as a learning process, realizing the compromise between maximization of the mean fitness and preservation of the diversity.
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