Stochastic evolutionary differential games toward a systems theory of behavioral social dynamics

DOI10.1142/S0218202516500251zbMath1414.91053arXiv1506.05699OpenAlexW2963601366MaRDI QIDQ2806546

G. Ajmone Marsan, Nicola Bellomo, Livio Gibelli

Publication date: 18 May 2016

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.05699

zbMATH Keywords

learning evolution kinetic theory economy stochastic differential games active particles social systems

Mathematics Subject Classification ID

Differential games (aspects of game theory) (91A23) Stochastic games, stochastic differential games (91A15) Models of societies, social and urban evolution (91D10) Evolutionary games (91A22)

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Cites Work