  This work presents the selection principle $S_1^*(\tau_x,CD)$ that
characterizes $q$-points. We also discuss the induced topological game
$G_1^*(\tau_x,CD)$ and its relations with $W$-points and
$\widetilde{W}$-points, as well as with the game $G_1(\Omega_x,\Omega_x)$.
