Explain condition (3.4) and show what happens to the optimal value (f^{*}left[wleft(a^{circ}, theta ight) ight]) when (theta)

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Explain condition (3.4) and show what happens to the optimal value \(f^{*}\left[w\left(a^{\circ}, \theta\right)\right]\) when \(\theta\) changes.

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