I get many errors from the following beamer code:

Question

I keep getting errors from this code, can someone help me figure out the problem?

\begin{frame}
\frametitle{Set Up to NGM with an Infinitely-lived Consumer}
To solve the NGM model, consider an infinitely lived consumer 
with an additively separable utility function that satisfies:
\begin{equation}
max_{\lbrace C_{t},L_{t},K_{t+1}\rbrace_{t=0}^{\infty}}
\sum_{t=1977}^{\infty} = \beta^{t-1977}
\lbrack \gamma log C_{t}+(1-\gamma ) log(N_{t} \overline{h}-L_{t})\rbrack \\ 
\text{s.t. (for all  t=0,1,...):} \\ 
C_{t}+L_{t+1}-K_{t} = w_{t} L_{t} + (r_{t}-\delta)K_{t} \\ 
K_{1977}=\overline{K_{1977}} 
\end{equation} 
\end{frame}

Thanks!

Welcome to TeX.SX! Could you please make your code compilable? (See also: minimal working example (MWE)) — leandriis, Sep 09 '19 at 13:10
You seem to try to break a long eqution over multiple lines. The following might be interesting: How can I split an equation over two (or more) lines — leandriis, Sep 09 '19 at 13:12
You might also want to use \log and \max instead of log and max. — leandriis, Sep 09 '19 at 13:14

Mico · Answer 1 · 2019-09-09T13:51:48.570

The main problem with your code is that you're employing an equation environment to typeset several lines of displayed math material. I suggest you use a gather* environment rather than an equation environment.

The exposition of the consumer's utility function and of the constrained maximization problem also leave a lot to be desired. For instance, the condition K_{1977}=\overline{K}_{1977} is a starting or initial condition and need not -- in fact, should not -- be repeated for t=0,1,\dots. And, the = symbol in the middle of \sum_{t=1977}^{\infty} = \beta^{t-1977} cannot possibly be correct.

The following modified exposition may be more easily accessible by readers:

\documentclass{beamer}
\usepackage{amsmath,amssymb}
\begin{document}
\begin{frame}
\frametitle{NGM with an infinitely-lived consumer}

To solve the NGM model, consider an infinitely lived consumer
with an additively separable period utility function given by:
\[
\gamma \log C_{t}+(1-\gamma ) \log(N_{t} \bar{h}-L_{t})\,.
\]
Utility maximization is performed jointly over $C_t$, $L_t$, and $K_{t+1}$, $t=0,1,\dots$:
\begin{gather*}
\max_{\lbrace C_{t},L_{t},K_{t+1}\rbrace_{t=1977}^{\infty}}\quad
\sum_{t=1977}^{\infty} \beta^{t-1977}
\bigl[ \gamma \log C_{t}+(1-\gamma ) \log(N_{t} \bar{h}-L_{t})\bigr] \\
\intertext{such that $K_{1977}=\overline{K}_{1977}$ and, for all $t=0,1,...$}
C_{t}+L_{t+1}-K_{t} = w_{t} L_{t} + (r_{t}-\delta)K_{t} \,.
\end{gather*}
\end{frame}
\end{document}

I get many errors from the following beamer code:

1 Answers1