2024/01/11 by Boll, Bastian, Cassel, Jonas, Albers, Peter +2 · 1 citation
#Adaptation and Self-Organizing Systems (nlin.AO) #Computer Science and Game Theory (cs.GT) #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #FOS: Physical sciences
paper · doi:10.48550/arxiv.2401.05918
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.