A multi-step Lagrangian scheme for spatially inhomogeneous evolutionary games

DOI10.1007/s00028-021-00702-5zbMath1476.35282arXiv2005.07479OpenAlexW3159866652MaRDI QIDQ2044695

Francesco Solombrino, Marco Morandotti, Stefano Almi

Publication date: 10 August 2021

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.07479

zbMATH Keywords

replicator equationreversible Markov chainsimplicit-explicit schemeinhomogeneous evolutionary gamesminimizing movements schememulti-step Lagrangian scheme

Mathematics Subject Classification ID

Stochastic games, stochastic differential games (91A15) Dynamics induced by flows and semiflows (37C10) PDEs with randomness, stochastic partial differential equations (35R60) Evolutionary games (91A22) Nonlinear evolution equations (47J35) Equations in function spaces; evolution equations (58D25) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91) Mean field games (aspects of game theory) (91A16) Jump processes on general state spaces (60J76)

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Mean-field selective optimal control via transient leadership, Multiscale control of Stackelberg games, Mean-field limits for entropic multi-population dynamical systems, Optimal control problems in transport dynamics with additive noise

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