Prove that the core is a convex set

Reference no: EM131333205

Prove that the core is a convex set.

That is, show that for any two imputations x, y in the core of a coalitional game (N; v), and for all α ∈ [0, 1], the imputation αx + (1 - α)y is also in the core of the game (N; v).

Reference no: EM131333205

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