We study variations on combinatorial games in which, instead of alternating moves, the players bid with discrete bidding chips for the right to determine who moves next. We consider both symmetric and partisan games, and explore differ- ences between discrete bidding games and Richman games, which allow real-valued bidding. Unlike Richman games, discrete bidding game variations of many famil- iar games, such as chess, Connect Four, and even Tic-Tac-Toe, are suitable for recreational play. We also present an analysis of Tic-Tac-Toe for both discrete and real-valued bidding.Imagine playing your favorite two-player game, such as Tic-Tac-Toe, Connect Four, or chess, but instead of alternating moves you bid against your opponent for the right to decide who moves next. For instance, you might play a game of bidding chess in which you and your opponent each start with one hundred bidding chips. If you bid twelve for the first move, and your opponent bids ten, then you give twelve chips to yo...