Question: A natural assumption for TP-coalitional games is super additivity, which requires that coalitions cannot lose through cooperation. Specifically, a TP-coalitional game is super additive if

A natural assumption for TP-coalitional games is super additivity, which requires that coalitions cannot lose through cooperation. Specifically, a TP-coalitional game is super additive if

for all distinct coalitions S, T, S ˆ© ˆ…. Show that the set of super additive games forms a convex cone in

w(SuT) > w(S) + w(T)

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