6. Suppose you know that u;(o;, 0_) = 5 for a particular mixed strategy g. E...

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6. Suppose you know that u;(o;, 0_¡) = 5 for a particular mixed strategy g. 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. 6. Suppose you know that u;(o;, 0_¡) = 5 for a particular mixed strategy g. 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.