Convex combination of superadditive games is superadditive

Reference no: EM131333127

Prove that the convex combination of superadditive games is also superadditive.

In other words, if (N; v) and (N; w) are superadditive games, and if 0 ≤ λ ≤ 1, then the game (N , λv + (1 - λ)w) defined by

(λv + (1 - λ)ω) (S) := λv(S) + (1 - λ) ω(s)

is also superadditive.

Reference no: EM131333127

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