  Mean-field theory has been extensively explored in decision analysis of
{large-scale} (LS) systems but traditionally in ``pure" cooperative or
competitive settings. This leads to the so-called mean-field game (MG) or
mean-field team (MT). This paper introduces a new class of LS systems with
cooperative inner layer and competitive outer layer, so a ``mixed" mean-field
analysis is proposed for distributed game-team strategy. A novel asymptotic
mixed-equilibrium-optima is also proposed and verified.
