Balanced growth path solutions of a Boltzmann mean field game model for knowledge growth

DOI10.3934/krm.2017005zbMath1352.49005arXiv1602.01423OpenAlexW2254132688MaRDI QIDQ728175

Marie-Therese Wolfram, Alexander Lorz, Martin Burger

Publication date: 19 December 2016

Published in: Kinetic and Related Models (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.01423

zbMATH Keywords

Hamilton-Jacobi equationstravelling wave solutionsmean-field gamesBoltzmann-type equations

Mathematics Subject Classification ID

Applications of optimal control and differential games (49N90) Existence theories for optimal control problems involving partial differential equations (49J20) Hamilton-Jacobi equations in mechanics (70H20) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91) Boltzmann equations (35Q20)

Related Items (11)

Mean-field selective optimal control via transient leadership ⋮ Investigation of the Schumpeterian dynamics with heterogeneous imitation range ⋮ Weak and Renormalized Solutions to a Hypoelliptic Mean Field Games System ⋮ Concentration effects in a kinetic model with wealth and knowledge exchanges ⋮ Traveling waves for a nonlocal KPP equation and mean-field game models of knowledge diffusion ⋮ An introduction to mean field game theory ⋮ Traveling waves in a mean field learning model ⋮ Boltzmann games in heterogeneous consensus dynamics ⋮ On Balanced Growth Path Solutions of a Knowledge Diffusion and Growth Model ⋮ On a Boltzmann Mean Field Model for Knowledge Growth ⋮ The variational structure and time-periodic solutions for mean-field games systems

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