diff --git a/README.md b/README.md index 3ca8aa7..1891fa8 100644 --- a/README.md +++ b/README.md @@ -60,16 +60,13 @@ $$ ##### 2. Maximize Expected Utility Domestic Stocks (Model Predictive Control) $$ -\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\} -$$