Question: Suppose you know that u;(0;, 0_;) = 5 for a particular mixed strategy o; E AS, and belief 0_; E AS_;. Must it be true

Suppose you know that u;(0;, 0_;) = 5 for a particular mixed strategy o; E AS, and belief 0_; E AS_;. Must it be true that there is a pure strategy s; E S; such that u; (S;, 0_;) 2 5? Prove this or find an example showing that the statement is false

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