I would like to reproduce the following graph
but unfortunately, I am only able to obtain these two curves.

Does anyone know how to draw parallel curves using TikZ?
Here is my code
\documentclass{article}
\usepackage{tikz,pgfplots}
\begin{document}
\begin{figure}
\centering
\begin{tikzpicture}[>=latex]
\begin{axis}[
axis x line=bottom,
axis y line=left,
xmin=0, xmax=10,
ymin=0, ymax=10,
xlabel style={at={(current axis.right of origin)}},
ylabel style={at={(current axis.above origin)}, rotate=270,},
xlabel={Char. 1},
ylabel={Char. 2},
ytick=\empty,
xtick=\empty,
]
\draw (axis cs:2.2,9.5) to [bend right=30] coordinate[pos=0.2] (l_i) (axis cs:8,.5);
\fill (l_i) circle (1.2pt) node[above right] {$C$};
\draw (axis cs:.5,6) to [bend right=10] coordinate[pos=0.8] (dl_j) (axis cs:9,3.5);
\fill (dl_j) circle (1.2pt) node[above right] {$A$};
\end{axis}
\end{tikzpicture}
\caption{Preferences}
\end{figure}
\end{document}
