Patent ID: 8784174

Claim:
A gaming system comprising: at least one input device; at least one display device; at least one processor; and at least one memory device which stores a plurality of instructions, which when executed by the at least one processor, cause the at least one processor to operate with the at least one display device and the at least one input device to: (a) display a plurality of offer component position sets, each offer component position set including a plurality of offer component positions, (b) randomly assign at least one offer component to at least one of the offer component position sets, wherein each randomly assigned offer component is associated with one of a plurality of different award values and occupies one of the offer component positions of one of the offer component position sets, (c) display the assigned offer components occupying the offer component positions of the offer component position sets, (d) repeat (b) until a designated quantity of the offer component positions of at least one of the offer component position sets are occupied with offer components, (e) enable a player to accept or reject a displayed first offer based on the award values associated with the offer components occupying the offer component positions of the offer component position sets, (f) if the player accepts the first offer, provide the player the accepted first offer, and (g) if the player rejects the first offer: (i) for each of at least one offer component, (A) randomly select one of the offer component position sets, (B) if the selected offer component position set includes at least one unoccupied offer component position, assign said offer component to the selected offer component position set, and (C) if each of the offer component positions of the selected offer component position set are occupied with offer components, eliminate said selected offer component position set, and (ii) enable the player to accept or reject a displayed second offer based on the award values associated with the offer components occupying the offer component positions of the non-eliminated offer component position sets.