%0 Journal Article %T Game characterizations and lower cones in the Weihrauch degrees %A Hugo Nobrega %A Arno Pauly %J Computer Science %D 2015 %I arXiv %X We introduce generalized Wadge games and show that each lower cone in the Weihrauch degrees is characterized by such a game. These generalized Wadge games subsume the original Wadge games, the eraser and backtrack games as well as variants of Semmes' tree games. As a new example we introduce the tree derivative games which characterize all even finite levels of the Baire hierarchy, and a variant characterizing the odd finite levels. %U http://arxiv.org/abs/1511.03693v1