Suppose the set of risk neutral measures for a given securities model is nonempty. Show that if

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Suppose the set of risk neutral measures for a given securities model is nonempty. Show that if the securities model is complete, then the set of risk neutral measures must be singleton. 

Under market completeness, column rank of Ŝ (1; Ω) equals number of states. Since column rank = row rank, all rows of Ŝ∗ (1; Ω) are independent.

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