I have a couple of inequalities. And though I am happy with the result, I am not with the way I achieved it because I manually added some \vspace. How does one achieve this more elegantly?
\documentclass{scrartcl}\usepackage[utf8]{inputenc} \usepackage[english]{babel}\usepackage[onehalfspacing]{setspace}\usepackage{amsmath}\begin{document}\section*{New }\begin{center} $ (1-p_{i}^{r})(1-p_{o}^{r})2 u(e_{o})+(p_{i}^{r} (1-p_{o}^{r}) + (1-p_{i}^{r})p_{o}^{r} )(2u(\frac{e_{i}+\Delta e_{i}+e_{o}}{2})-d)+p_{i}^{r}p_{o}^{r}2 (u(e_{i}+\Delta e_{i})-d) $ \end{center} \vspace{-1.8cm}\begin{center} \begin{equation*} \geq \end{equation*} \end{center}\vspace{-0.7cm}\begin{center} $ (1-p_{i}^{n} )(1-p_{o}^{n} )2 u(e_{o})+(p_{i}^{n} (1-p_{o}^{n} ) + (1-p_{i}^{n} )p_{o}^{r} )(2u(\frac{e_{i}+e_{o}}{2})-d)+p_{i}^{n} p_{o}^{n} 2 (u(e_{i})-d) $, \end{center} \section*{New }\begin{center} \(U_{(j,\tilde{j})}^{r}=(1-p_{j}^{r})(1-p_{\tilde{j}}^{r})(1+\alpha)u(c_{o,o})+(1-p_{j}^{r})p_{\tilde{j}}^{r}(u(c_{o,i})+\alpha (u(c_{i,o})-d))\)\\ \(+p_{j}^{r}(1-p_{\tilde{j}}^{r})(u(c_{i,o})-d+\alpha u(c_{o,i}))+p_{j}^{r}p_{\tilde{j}}^{r}(1+\alpha)(u(c_{i,i})-d)\) \end{center} \vspace{-2.0cm}\begin{center} \begin{equation*} \geq \label{EQALT} \end{equation*} \end{center}\vspace{-0.9cm}\begin{center} \(U_{(j,\tilde{j})}^{n}=u(c_{j,\tilde{j}})-{1}_{\{j=i\}}d +\alpha(u(c_{\tilde{j},j})-{1}_{\{\tilde{j}=i\}}d).\)\end{center}\end{document}