A long-term mathematical model for mining industries

DOI10.1007/s00245-016-9390-0zbMath1411.91428OpenAlexW2553479810MaRDI QIDQ520352

Jean-Michel Lasry, Yves Achdou, Pierre-Louis Lions, Pierre-Noel Giraud

Publication date: 3 April 2017

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00245-016-9390-0

zbMATH Keywords

viscosity solutionmaster equationmodel calibrationmean field gamesHamilton Jacobi equationsheterogeneous agents model

Mathematics Subject Classification ID

Differential games (aspects of game theory) (91A23) Stochastic games, stochastic differential games (91A15) Economic models of real-world systems (e.g., electricity markets, etc.) (91B74) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Heterogeneous agent models (91B69)

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A class of short-term models for the oil industry that accounts for speculative oil storage ⋮ Fokker-Planck equations of jumping particles and mean field games of impulse control ⋮ Homogenization of the backward-forward mean-field games systems in periodic environments ⋮ Lax connection and conserved quantities of quadratic mean field games ⋮ Ergodic mean field games with Hörmander diffusions ⋮ Career plans and wage structures: a mean field game approach ⋮ Biological population management based on a Hamilton–Jacobi–Bellman equation with boundary blow up

Cites Work

• Unnamed Item
• Mean field games. I: The stationary case
• Mean field games. II: Finite horizon and optimal control
• Mean field games
• Nonlinear elliptic equations with singular boundary conditions and stochastic control with state constraints. I: The model problem
• Partial differential equation models in macroeconomics
• Mean Field Games and Applications
• Hamilton-Jacobi Equations with State Constraints
• Optimal Control with State-Space Constraint I
• Optimal Control with State-Space Constraint. II
• Investment Under Uncertainty
• The Master Equation and the Convergence Problem in Mean Field Games
• Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations

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