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This paper is concerned with a linear quadratic stochastic Stackelbergdifferential game with time delay. The model is general, in which the statedelay and the control delay both appear in the state equation, moreover, theyboth enter into the diffusion term. By introducing two Pseudo-Riccati equationsand a special matrix equation, the state feedback representation of theopen-loop Stackelberg strategy is derived, under some assumptions. Finally, twoexamples are given to illustrate the applications of the theoretical results.

A Linear Quadratic Stochastic Stackelberg Differential Game with Time Delay