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VCG Solution of LP:maxkn∑ ∑i= 1 j=1n∑j=1ki=1ijijijαv xij j ijs.t. x ≤ 1 , ∀i=1,2,...,k∑x ≤ 1 , ∀j=1,2,...,nx ≥ 0 , ∀i=1,2,...,k , ∀j=1,2,...,n