A gaming machine, with which a plurality of players who join a game from the beginning can enjoy the game by the end of the game, is provided. The gaming machine is equipped with a rank determination means and a win/loss determination means to provide the gaming machine with an arrangement by which players provided with benefits are determined so as to be a combination of the player of the highest rank as determined by the above-mentioned rank determination means and players of ranks that are not in the order of results starting from the highest rank.