We investigate game-theoretic properties of selection principles related to weaker forms of the Menger and Rothberger properties. For appropriate spaces some of these selection principles are characterized in terms of a corresponding game. We use generic extensions by Cohen reals to illustrate the necessity of some of the hypotheses in our theorems.
Babinkostova, L.; Pansera, B A.; and Scheepers, M.. (2012). "Weak Covering Properties and Infinite Games". Topology and its Applications, 159(17), 3644-3657. http://dx.doi.org/10.1016/j.topol.2012.09.009