Linear Quadratic Mean Field Social Control with Random Coefficients and Common Noise

2019 ◽  
Author(s):  
Bing-Chang Wang
Keyword(s):  
Social Control ◽  
Mean Field ◽  
Random Coefficients ◽  
Linear Quadratic ◽  
Quadratic Mean ◽  
Common Noise

scholarly journals Robust linear quadratic mean field social control: A direct approach

2021 ◽  
Author(s):  
Tinghan Xie ◽  
Bingchang Wang ◽  
Jianhui Huang
Keyword(s):  
Social Control ◽  
Control Problem ◽  
Mean Field ◽  
Direct Approach ◽  
Linear Quadratic ◽  
Worst Case ◽  
Quadratic Mean ◽  
Feedback Type ◽  
Field Team ◽  
Global Uncertainty

This paper investigates a robust linear quadratic mean field team control problem. The model involves a global uncertainty drift which is common for a large number of weakly-coupled interactive agents. All agents treat the uncertainty as an adversarial agent to obtain a "worst case'' disturbance. The direct approach is applied to solve the robust social control problem, where the state weight is allowed to be indefinite. Using variational analysis, we first obtain a set of forward-backward stochastic differential equations (FBSDEs) and the centralized controls which contain the population state average. Then the decentralized feedback-type controls are designed by mean field heuristics. Finally, the relevant asymptotically social optimality is further proved under proper conditions.

Co-Opetitive Linear-Quadratic Mean-Field-Type Games

2020 ◽  
Vol 50 (12) ◽  
pp. 5089-5098 ◽  
Author(s):  
Julian Barreiro-Gomez ◽  
Tyrone E. Duncan ◽  
Hamidou Tembine
Keyword(s):  
Mean Field ◽  
Linear Quadratic ◽  
Quadratic Mean ◽  
Field Type
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