Deterministic mean field games on networks: a Lagrangian approach

Optimality conditions for problems involving partial differential equations (49K20) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91) Systems of nonlinear first-order PDEs (35F50) PDEs on graphs and networks (ramified or polygonal spaces) (35R02) Mean field games and control (49N80) Mean field games (aspects of game theory) (91A16)

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