LaTeX Forum

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 \author{K.~Güther}
 \title{"Kranz und Höffler Erweiterungen}
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\begin{document}

\protect\section{Modell A1}

\subection{1}
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\subection{2}
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\subection{3}
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\subection{4}
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\subection{5}
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\subection{6}

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\subsection{Gewinn des Netzbetreibers}
\numberwithin{equation}{subsection}

	\begin{displaymath}\Pi_0=a\end{displaymath}

	\begin{displaymath}\Leftrightarrow \Pi_0=a \end{displaymath}

	From $\eqref{eq: APRoI_p1 PlusMinus}$ and $\eqref{eq: APRoI_p2 PlusMinus}$ we know that 

	\begin{displaymath}\Leftrightarrow \Pi_0=a\end{displaymath}

	\begin{displaymath}\Leftrightarrow \Pi_0=a\end{displaymath}

	How does this function behave in a?

	\begin{multline}	\Leftrightarrow\frac{\partial \Pi_0}{\partial a}=a\\
				 b  \\
	 \end{multline} \notag

	\begin{multline}	Leftrightarrow\frac{\partial \Pi_0}{\partial a}=a\
				 b  \\
	 \end{multline} \notag

	\begin{multline}	Leftrightarrow\frac{\partial \Pi_0}{\partial a}=a\\
				 b  \\
	 \end{multline} \notag

	\begin{multline}	Leftrightarrow\frac{\partial \Pi_0}{\partial a}=a\\
				 b  \\
	 \end{multline} 

	Zur Berechnung der second-order condition brauchen wir die Ableitung von H nach a:

	\begin{displaymath} \frac{\partial H}{\partial a}=a \end{displaymath}

	\begin{displaymath}\Leftrightarrow ~ \frac{\partial H}{\partial a}=a\end{displaymath}

	\begin{equation}\Leftrightarrow ~  \frac{\partial H}{\partial a}= a  \end{equation}


	Second-order condition:

	\begin{multline}	\Rightarrow~\frac{\partial^2 \Pi_0}{\partial a^2}=a
	 \end{multline} \notag

	\begin{multline}	\Leftrightarrow~\frac{\partial^2 \Pi_0}{\partial a^2}= a
	 \end{multline} \notag

	\begin{multline}	\Leftrightarrow~\frac{\partial^2 \Pi_0}{\partial a^2}=a
	 \end{multline} \notag

	Try to simplify A:

	\begin{multline}	\Rightarrow A=a \\
	 \end{multline} \notag

	H ausmultiplizieren.

	\begin{multline}	\Leftrightarrow A=a^2a\\
				b\\
	 \end{multline} \notag

	\begin{multline}	\Leftrightarrow A=a\\
							b\\
							c\\
	 \end{multline} \notag

	\begin{multline}	\Leftrightarrow A=a\\
							b\\
							c\\
	 \end{multline} \notag

	\begin{multline}	\Leftrightarrow A=a\\
							b\\
							c\\
	 \end{multline} \notag

	\begin{multline}	\Leftrightarrow A=a\\
							b\\
							c\\
	 \end{multline} \notag

	Insert A back into second-order condition.

	\begin{multline}	\Leftrightarrow A=a\\
							b\\
							c\\
	 \end{multline} \notag

	\begin{multline}	\Leftrightarrow A=a\\
							b\\
							c\\
	 \end{multline} \notag