Abstract: For a fixed number field K, let S be a complete set of archimedean valuations and K_S be its Minkowski space. When K = Q, Broderick, Fishman, Kleinbock, Reich, and Weiss (2010) introduced the hyperplane absolute game and showed that the set BA_n of badly approximable vectors in K_S^n = R^n is hyperplane absolute winning. More recently, Einsiedler, Ghosh, and Lytle (2015) showed that the intersection of BA in K_S with a certain family of non-degenerate curves is winning in the original Schmidt game. In this talk, I will discuss about a generalization of these results to K_S^n using the H-absolute game introduced by Fishman, Simmons, and Urbanski (2013).