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Update README.md
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Sinbad-The-Sailor committed Feb 11, 2024
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##### 2. Maximize Expected Utility Domestic Stocks (Model Predictive Control)
$$
\mbox{max} \quad \sum_{t=0}^{T-1} U\Big(\sum_{a \ in A} \mathbb{E}[r_{ta}](w_{ta} + z_{ta}) \Big)
\begin{align*}
& \mbox{max} \quad \sum_{t=0}^{T-1} U\Big(\sum_{a \in A} \mathbb{E}[r_{ta}](w_{ta} + z_{ta}) \Big) \\
& w_{t+1,a} = w_{ta} + z_{ta} \quad \forall t \in \{0,\ldots,T-1\} ~ \forall a \in A \\
& \sum_{a \in A} z_{ta} = 0 \quad \forall t \in \{0,\ldots,T-1\} \\
\end{align*}
$$

$$
w_{t+1,a} = w_{ta} + z_{ta} \quad \forall t \in \{0,\ldots,T-1\} ~ \forall a \in A
$$

$$
\sum_{a \in A} z_{ta} = 0 \quad \forall t \in \{0,\ldots,T-1\}
$$



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