Characterizations of equilibrium controls in time inconsistent mean-field stochastic linear quadratic problems. I
Characterizations of equilibrium controls in time inconsistent mean-field stochastic linear quadratic problems. I
In this paper, a class of time inconsistent linear quadratic optimal control problems for mean-field stochastic differential equations (SDEs) are considered under Markovian framework. Open-loop equilibrium controls and their particular closed-loop representations are introduced and characterized via variational ideas. Several interesting features are revealed and a system of coupled Riccati …