Convergence of one-dimensional stationary mean field games with vanishing potential

Autor:	Cai, Yiru, Qi, Haobo, Tan, Yi, Su, Xifeng
Rok vydání:	2018
Předmět:	Mathematics - Analysis of PDEs Mathematics - Dynamical Systems Mathematics - Optimization and Control 91A13 91A25
Druh dokumentu:	Working Paper
Popis:	We consider the one-dimensional stationary first-order mean-field game (MFG) system with the coupling between the Hamilton-Jacobi equation and the transport equation. In both cases that the coupling is strictly increasing and decreasing with respect to the density of the population, we show that when the potential vanishes the regular solution of MFG system converges to the one of the corresponding integrable MFG system. Furthermore, we obtain the convergence rate of such limit. Comment: 17 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1805.11068 Zobrazit plný text záznamu View this record from Arxiv