Systems and methods enable players to play games of chance using gaming devices to win a progressive prize, a pari-mutuel prize, and a plurality of gaming device specific player prizes. A first gaming device enables a first player to win the progressive prize, the pari-mutuel prize, and a gaming device specific first player prize that is independent of the first player. A second gaming device enables a second player to win the progressive prize, the pari-mutuel prize, and a gaming device specific second player prize that is independent of the second player. The second gaming device prevents the second player from winning the gaming device specific first player prize while the second player is using the second gaming device.