This talk aims to discuss a class of infinite games discovered by Wolfgang M. Schmidt (1966) and the way it has been used to establish the largeness of certain subsets of Rn. We only assume the definition of closed balls in Euclidean spaces.
Reference: Wolfgang M. Schmidt, On Badly Approximable numbers and certain games, Trans. Amer. Math. Soc. 123 (1966), 178-199
