From e15b97059af7f2cb56cdf5682caaf6227ee88773 Mon Sep 17 00:00:00 2001 From: Axel Nilsson Date: Mon, 12 Feb 2024 00:45:05 +0100 Subject: [PATCH] Update README.md --- README.md | 13 +++++-------- 1 file changed, 5 insertions(+), 8 deletions(-) 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\} -$$