Before revision: We prove the uniqueness of an equilibrium solution to a general time-inconsistent LQ control problem under mild conditions which ensure the existence of a solution. This is the first positive result on the uniqueness of the solution to a time inconsistent dynamic decision problem in continuous-time setting. Key words. time-inconsistency, stochastic linear-quadratic control, uniqueness of equilibrium control, ] forward--backward stochastic differential equation, mean--variance portfolio selection  .
After revision: We prove the uniqueness of an equilibrium solution to a general time-inconsistent stochastic linear--quadratic (LQ) control problem originally formulated in ] forward--backward stochastic differential equation, mean--variance portfolio selection .