Brake orbits and heteroclinic connections for first order mean field games
From MaRDI portal
Publication:4992382
DOI10.1090/tran/8362zbMath1467.49039arXiv1912.05874OpenAlexW3119203894MaRDI QIDQ4992382
Annalisa Cesaroni, Marco Cirant
Publication date: 8 June 2021
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.05874
Variational problems in a geometric measure-theoretic setting (49Q20) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91) Mean field games and control (49N80)
Related Items (4)
Existence and non-existence for time-dependent mean field games with strong aggregation ⋮ Stationary equilibria and their stability in a Kuramoto MFG with strong interaction ⋮ Double layered solutions to the extended Fisher-Kolmogorov P.D.E. ⋮ Long time behavior and turnpike solutions in mildly non-monotone mean field games
Cites Work
- Unnamed Item
- Unnamed Item
- Brake orbit solutions for semilinear elliptic systems with asymmetric double well potential
- Mean field games. I: The stationary case
- Mean field games. II: Finite horizon and optimal control
- On minimizers of interaction functionals with competing attractive and repulsive potentials
- A convexity principle for interacting gases
- Concentration of ground states in stationary mean-field games systems
- The isoperimetric problem for nonlocal perimeters
- Stable solutions in potential mean field game systems
- On the existence of oscillating solutions in non-monotone mean-field games
- A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
- Mean-field games and swarms dynamics in Gaussian and non-Gaussian environments
- Weak KAM theory for potential MFG
- On the long time convergence of potential MFG
- A variational approach to the mean field planning problem
- Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
- Long time behavior of the master equation in mean field game theory
- The planning problem in mean field games as regularized mass transport
- First Order Mean Field Games with Density Constraints: Pressure Equals Price
- Metric methods for heteroclinic connections in infinite dimensional spaces
- Periodic Solutions of Hamiltonian Systems: A Survey
- Existence of periodic orbits near heteroclinic connections
- Optimal density evolution with congestion: L∞ bounds via flow interchange techniques and applications to variational Mean Field Games
- The variational structure and time-periodic solutions for mean-field games systems
- Displacement convexity for first-order mean-field games
- One-dimensional multi-agent optimal control with aggregation and distance constraints: qualitative properties and mean-field limit
- Mean-field optimal control as Gamma-limit of finite agent controls
- Mean field games systems of first order
This page was built for publication: Brake orbits and heteroclinic connections for first order mean field games
