If f F(S) is strictly positive definite, quasiconcave, and homogeneous of degree one, then f is

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If f ∈ F(S) is strictly positive definite, quasiconcave, and homogeneous of degree one, then f is superadditive, that is,
f (x1 + x2) ≥ f (x1) + f(x2) for every x1, x2 ∈ S
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