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These suggest that markets are not even weakly efficient.
then is a weakly efficient solution to the VEPC.
Similarly, is not an essential weakly efficient solution.
But, and are not essential weakly efficient solutions.
Let x ¯ be a (weakly) efficient solution in (CVP).
Proof Let x ¯ be a (weakly) efficient solution in (CVP).
Hence, is a weakly efficient solution to the VEPC.
Assume that is a weakly efficient solution to the VEPC.
Thus ; therefore, is not an essential weakly efficient solution.
By Theorem 3.1, is an essential weakly efficient solution.
Hence, x ∗ is a weakly efficient solution of (FP).
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