A gaming device having a plurality of player selectable selections, steps towards termination associated with each selection, a termination limit and an offer associated with each number of steps. The steps are associated with or determine the offers provided to the player. The game provides no further offers when the maximum number of offers have been awarded, the player accepts an offer, or the player's accumulated steps meet or exceed the termination limit. The game preferably provides a consolation award to the player when the player's steps meet or exceed the termination limit.