On a Boltzmann Mean Field Model for Knowledge Growth
From MaRDI portal
Publication:2821709
DOI10.1137/15M1018599zbMath1347.49057arXiv1503.08419OpenAlexW1866514497MaRDI QIDQ2821709
Alexander Lorz, Martin Burger, Marie-Therese Wolfram
Publication date: 23 September 2016
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1503.08419
Differential games and control (49N70) Applications of optimal control and differential games (49N90) Differential games (aspects of game theory) (91A23) Existence theories for optimal control problems involving partial differential equations (49J20) Hamilton-Jacobi theories (49L99) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91) Boltzmann equations (35Q20)
Related Items
Mean-field selective optimal control via transient leadership, Parabolic Free Boundary Price Formation Models Under Market Size Fluctuations, A mean field game model of firm-level innovation, 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 and Fokker-Planck equations modelling the Elo rating system with learning effects, On Balanced Growth Path Solutions of a Knowledge Diffusion and Growth Model, A kinetic games framework for insurance plans, Balanced growth path solutions of a Boltzmann mean field game model for knowledge growth, The variational structure and time-periodic solutions for mean-field games systems
Cites Work
- Large-scale dynamics of mean-field games driven by local Nash equilibria
- Technology diffusion and growth
- Balanced growth path solutions of a Boltzmann mean field game model for knowledge growth
- Kinetic models of opinion formation
- Mathematical modeling of collective behavior in socio-economic and life sciences
- Mean field games
- Mean-field games and model predictive control
- Large population stochastic dynamic games: closed-loop McKean-Vlasov systems and the Nash certainty equivalence principle
- Evolution of wealth in a non-conservative economy driven by local Nash equilibria
- Wealth distribution and collective knowledge: a Boltzmann approach
- The Growth and Diffusion of Knowledge
- EXPONENTIAL AND ALGEBRAIC RELAXATION IN KINETIC MODELS FOR WEALTH DISTRIBUTION
- A kinetic approach to the study of opinion formation
- Innovation vs. imitation and the evolution of productivity distributions
- Boltzmann and Fokker–Planck equations modelling opinion formation in the presence of strong leaders
- On a Boltzmann-type price formation model
- Learning by Doing and the Choice of Technology