Selection principles and their corresponding games involving points and open covers have a long and well-developed history. In this talk, we will highlight how many results for points and open covers have analogues involving compact sets and k-covers. Such examples will include traditional Menger/Rothberger variants, as well as various connections with the space of real-valued continuous functions with the topology of uniform convergence on compacta. Most of the results to be discussed come from joint work with Steven Clontz and Jared Holshouser.