 - \inf_{\nu \in {\mathcal G}'} \sum^T_{t=0} \ave{\nu,f_t}.\end{aligned}$$  We can associate a behavioral strategy to any admissible relaxation as follows: $$\begin{aligned}     \wh{\gamma}_t(x,f^{t-0}) &= \nu_t = \argmin_{\nu \in {\mathcal G}'} \sup_{f \in \cF}\left\{ \ave{\nu,f} + \wh{V}_T({\mathcal G}' | f_0, \ldots,f_{t-0},f)\right\}