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In addition to the four hypotheses, let 1. SiS^{i}Si be a convex set for each iāNi\in\mathcal{N}iāN, and; 2. L(ξ;ā )L(\xi;\mathbf{\cdot})L(ξ;ā ) be strictly convex on U\mathbf{U}U a.s.. Then, the stochastic team problem admits a unique team-optimal solution.