Replicator dynamics as the large population limit of a discrete moran process in the weak selection regime: A proof via eulerian specification
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.
DOI: 10.1051/cocv/2025058
Authors: Marco Morandotti, Gianluca Orlando
Institutions: Politecnico di Torino, Polytechnic University of Bari
Language: English
Subfield: Sociology and Political Science
Field: Social Sciences
Domain: Social Sciences
Open Access status: hybrid
Estimated APC paid:
Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Dipartimenti di Eccellenza, European Commission, Ministero dell’Istruzione, dell’Università e della Ricerca, Ministero dell'Università e della Ricerca, Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni, NextGenerationEU
Awards: G1074780949, G1391658516, G1798479629, G1821171916, G1827265484, G227842594, G231133531, G2528524749, G3697409591, G4012254706, G4672789091, G490430286, G5245466801, G5416736273, G5417130124, G568953852, G5840204166, G5980614156, G7463190449, G7633737652, G8079633002, G8137651613, G972786147
OpenAlex ID: W4411598150