An automatic multiple player gaming machine includes a central game processor and multiple player terminals, wherein each player terminal includes a player input and a player display. The gaming machine also includes a common game display and a game program residing in the processor, wherein the game program executes an interactive multiple player game. The processor further displays individual hands of cards on each player display, wherein each hand of cards is randomly selected from its own set of cards. The operation of such a machine may be effected in a computer-based method as well.