Establishes existence and uniqueness for optimal policies in continuous-time entropy-regularized mean-field control with common noise via an integrated q-function, plus explicit Gaussian characterization in the LQ setting.
Villani (2009): Optimal transport: old and new
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Continuous-time q-learning for mean-field control with common noise, part-I: Theoretical foundations
Establishes existence and uniqueness for optimal policies in continuous-time entropy-regularized mean-field control with common noise via an integrated q-function, plus explicit Gaussian characterization in the LQ setting.