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

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

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

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