This paper presents a novel model-free method to solve linear quadratic(LQ)mean-field control problems with one-dimensional state space and multiplicative noise.The focus is on the infinite horizon LQ setting,where th...
supported by the Original Exploratory Program Project of National Natural Science Foundation of China under Grant No.62250056;the Joint Funds of the National Natural Science Foundation of China under Grant No.U23A20325;the Major Basic Research of Natural Science Foundation of Shandong Province under Grant No.ZR2021ZD14;the High-level Talent Team Project of Qingdao West Coast New Area under Grant No.RCTD-JC-2019-05。
Different from the standard linear quadratic(LQ)problem for stochastic systems,the LQ problem considered in the paper has extra measurability restrictions.The problem also appears in the LQ control problem for stochas...