This article studies singular mean field control problems and singular mean field two-players stochastic differential games. Both sufficient and necessary conditions for the optimal controls and for the Nash equilibrium are obtained. Under some assumptions the optimality conditions for singular mean-field ...
This article studies singular mean field control problems and singular mean field two-players stochastic differential games. Both sufficient and necessary ... Y Hu,?ksendal, Bernt,A Sulem - 《Stochastic Analysis & Applications》 被引量: 2发表: 2017年 Competition versus Cooperation: A Class of Sol...
The singular perturbation of mean field game systems arising from minimization problems with control of acceleration is addressed, that is, we analyze the
This paper establishes that a class of -player stochastic games with singular controls, either of bounded velocity or of finite variation, can both be approximated by mean field games (MFGs) with singular controls of bounded velocity. More specifically, it shows (i) the optimal control to an ...
Cornell University - arXiv May 2021 0被引用 0笔记 共2个版本 开学季特惠,9月3日-11月30日,专业版用户每周AI豆3倍膨胀,快来领取吧! 摘要原文 We study stationary mean field games with singular controls in which the representative player interacts with a long-time weighted average of the population...
Here, we prove the existence of smooth solutions for mean-field games with a singular mean-field coupling; that is, a coupling in the Hamilton-Jacobi equation of the form \begin{document}$ g(m) = -m^{- \alpha} $\end{document} with \begin{document}$ \alpha>0 $\end{document}. We...
Mean-field games for large population multiagent systems with Markov jump parameters have been investigated in Wang and Zhang [21]. Stochastic maximum principle for optimal continuous control for classical FBSDEs has been investigated by many authors, see e.g. [9], [22], [23], [26]. The ...
Cooperation, Correlation and Competition in Ergodic $N$-player Games and Mean-field Games of Singular Controls: A Case Study We consider ergodic symmetric $N$-player and mean-field games of singular control in both cooperative and competitive settings. The state process dynamics ... F Cannerozzi...
1Introduction The study of backward stochastic differential equations (BSDEs) has necessary applications in stochastic optimal control, stochastic differential games, the probabilistic formula for the solutions of quasilinear partial differential equations, and financial markets. The adapted solution for a li...
relaxed controlSkorokhod M-1 topologyThis paper establishes the existence of relaxed solutions to mean field games (MFGs for short) with singular controls. We also prove approximations of solutions results for a particular class of MFGs with singular controls by solutions, respectively control rules, ...