Work

Replicator dynamics as the large population limit of a discrete moran process in the weak selection regime: A proof

Year: 2025

Type: article

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.

Source: Springer Link (Chiba Institute of Technology)

DOI: 10.1051/cocv/2025058/pdf

Authors: Marco Morandotti, Gianluca Orlando

Language: English

Topic: Evolutionary Game Theory and Cooperation

Subfield: Sociology and Political Science

Field: Social Sciences

Domain: Social Sciences

Open Access status: green

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", European Commission, Ministero dell’Istruzione, dell’Università e della Ricerca, NextGenerationEU

Awards: G1827265484, G227842594, G4672789091, G490430286, G5245466801, G5416736273, G5417130124, G5840204166, G7463190449, G8079633002, G972786147

OpenAlex ID: W7078749314

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