Spieltheorie Auszahlungsmatrix mit Pfeilen zur Darstellung von Equilibria

\documentclass{article}
\usepackage{tikz}
\usetikzlibrary{calc}
\usetikzlibrary{matrix}
\usetikzlibrary{positioning}
\begin{document}
\begin{tikzpicture}
\matrix[matrix of math nodes,every odd row/.style={align=right},
  every even row/.style={align=left},
  every node/.style={text width=1.5cm},row sep=0.2cm,
  column sep=0.2cm] (m) {
    10&5\\
    10&25\\
    5&20\\
    25&20\\
};
\draw (m.north east) rectangle (m.south west);
\draw (m.north) -- (m.south);
\draw (m.east) -- (m.west);

\coordinate (a) at ($(m.north west)!0.25!(m.north east)$);
\coordinate (b) at ($(m.north west)!0.75!(m.north east)$);
\node[above=5pt of a,anchor=base] {Low Price};
\node[above=5pt of b,anchor=base] {High Price};

\coordinate (c) at ($(m.north west)!0.25!(m.south west)$);
\coordinate (d) at ($(m.north west)!0.75!(m.south west)$);
\node[left=2pt of c,text width=1cm]  {Low Price};
\node[left=2pt of d,text width=1cm]  {High Price};

\node[above=18pt of m.north] (firm b) {Firm B};
\node[left=1.6cm of m.west,rotate=90,align=center,anchor=center]
  {Firm A};

\node[above=5pt of firm b]  {Payoff Matrix};

\draw [-latex, blue, very thick]
    (m-1-2.center) edge (m-1-1)
    ($(m-2-1.south)+(-0.55,0)$) edge ($(m-4-1.north)+(-0.55,0)$)
    (m-3-1.east) edge (m-3-2.center)
    ($(m-4-2.north)+(-0.55,0)$) to ($(m-2-2.south)+(-0.55,0)$);
\end{tikzpicture}
\end{document}