Mean-Field Limits for Entropic Multi-Population Dynamical Systems

被引：1
作者：
Almi, Stefano [1 ,2 ]
D'Eramo, Claudio [3 ]
Morandotti, Marco [4 ]
Solombrino, Francesco [2 ]
机构：
[1] TU Wien, Inst Anal & Sci Comp, Wiedner Hauptstr 8-10, A-1040 Vienna, Austria
[2] Univ Napoli Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, Via Cintia, I-80126 Naples, Italy
[3] 4S Grp, Corso Peschiera 146, I-10138 Turin, Italy
[4] Politecn Torino, Dipartimento Sci Matemat G L Lagrange, Corso Duca Abruzzi 24, I-10129 Turin, Italy
来源：
MILAN JOURNAL OF MATHEMATICS | 2023年 / 91卷 / 01期
基金：
奥地利科学基金会;
关键词：
Entropic regularization; Mean-field limit; Fast reaction limit; Population dynamics; Replicator-type dynamics; Superposition principle;
D O I：
10.1007/s00032-022-00375-w
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The well-posedness of a multi-population dynamical system with an entropy regularization and its convergence to a suitable mean-field approximation are proved, under a general set of assumptions. Under further assumptions on the evolution of the labels, the case of different time scales between the agents' locations and labels dynamics is considered. The limit system couples a mean-field-type evolution in the space of positions and an instantaneous optimization of the payoff functional in the space of labels.
引用
收藏
页码：175 / 212
页数：38
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