Published Paper

Inserted: 28 jan 2025
Last Updated: 6 oct 2025

Journal: ESAIM: COCV
Volume: 31
Pages: article 72
Year: 2025
Doi: 10.1051/cocv/2025058

Abstract:

We study the large population limit of a multi-strategy discrete-time Moran process in the weak selection regime. We show that the replicator dynamics is interpreted as the large-population limit of the Moran process. This result is obtained by interpreting the discrete process in its Eulerian specification, proving a compactness result in the Wasserstein space of probability measures for the law of the proportions of strategies, and passing to the limit in the continuity equation that describes the evolution of the proportions.