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arXiv · 2401.05918

A Geometric Embedding Approach to Multiple Games and Multiple Populations

Bastian Boll·Jonas Cassel·Peter Albers·Stefania Petra·Christoph Schnörr
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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.

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Bastian Boll, Jonas Cassel, Peter Albers, Stefania Petra, Christoph Schnörr. 2024-01-11. A Geometric Embedding Approach to Multiple Games and Multiple Populations. https://arxiv.org/abs/2401.05918

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