\documentclass[margin=10]{standalone}
\usepackage{tikz}
\usetikzlibrary{calc,matrix,positioning}
% \smash{\rlap{*}} removes space taken up by *
\begin{document}
\begin{tikzpicture}[element/.style={text height=1em, minimum height=1cm, minimum width=2cm}]
\matrix (m) [matrix of nodes, nodes={element}, column sep=-\pgflinewidth, row sep=-3*\pgflinewidth, anchor=center]{
          & Cooperate   & Defect  \\
Cooperate & |[draw]|3,3 & |[draw]|1,4 \\
Defect    & |[draw]|4,1 & |[draw]|2,2\smash{\rlap{*}} \\
};
\node[above=0.25cm] at ($(m-1-2)!0.5!(m-1-3)$){\textbf{Actor A}};
\node[rotate=90] at ($(m-2-1)!0.5!(m-3-1)+(-1.25,0)$){\textbf{Actor B}};
 \node [below=1.5cm, align=flush center,text width=8cm]
        {\begin{scriptsize}
            Number left (right) of comma refers to A's (B's) preference ordering (1 = worst outcome; 4 = best outcome). * indicates the equilibrium.
        \end{scriptsize}
        };
\end{tikzpicture}
\end{document}