A Geometric Embedding Approach to Multiple Games and Multiple Populations
Dynamical Systems
2024-01-12 v1 Computer Science and Game Theory
Adaptation and Self-Organizing Systems
Abstract
This paper studies a meta-simplex concept and geometric embedding framework for multi-population replicator dynamics. Central results are two embedding theorems which constitute a formal reduction of multi-population replicator dynamics to single-population ones. In conjunction with a robust mathematical formalism, this provides a toolset for analyzing complex multi-population models. Our framework provides a unifying perspective on different population dynamics in the literature which in particular enables to establish a formal link between multi-population and multi-game dynamics.
Keywords
Cite
@article{arxiv.2401.05918,
title = {A Geometric Embedding Approach to Multiple Games and Multiple Populations},
author = {Bastian Boll and Jonas Cassel and Peter Albers and Stefania Petra and Christoph Schnörr},
journal= {arXiv preprint arXiv:2401.05918},
year = {2024}
}