One-dimensional multi-agent optimal control with aggregation and distance constraints: qualitative properties and mean-field limit

DOI10.1088/1361-6544/abc795zbMath1467.82048arXiv2003.01980OpenAlexW3010405905MaRDI QIDQ4986199

Marco Cirant, Annalisa Cesaroni

Publication date: 27 April 2021

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.01980

zbMATH Keywords

gamma-convergencemean-field optimal controldensity constraintsfinite agent optimal control

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Methods involving semicontinuity and convergence; relaxation (49J45) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91) Mean field games and control (49N80) Mean field games (aspects of game theory) (91A16)

Related Items (4)

Particle approximation of one-dimensional mean-field games with local interactions ⋮ Mean field approximation of an optimal control problem for the continuity equation arising in smart charging ⋮ On control of probability flows with incomplete information ⋮ Brake orbits and heteroclinic connections for first order mean field games

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