Patent ID: 8602880

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 input device and the at least one display device to, upon an occurrence of a secondary game triggering event: (a) determine a secondary game budget for a play of a secondary game, (b) display a plurality of selections, wherein each selection is associated with a masked award, at least one of the awards is one of a plurality of award values and at least one of the awards is one of a plurality of multiplier values, and (c) if a final offer has not been formed: (i) form an offer based on the secondary game budget and a current value of a secondary game multiplier, (ii) display the formed offer to a player, and (iii) if the player does not accept the formed offer: (A) receive an input from the player to pick one of the displayed selections, (B) display the award associated with the picked selection, (C) if the displayed award is one of the multiplier values: (I) increase the current value of the secondary game multiplier, and (II) repeat (c) at least once, and (D) if the displayed award is one of the award values and the displayed award value is greater than the secondary game budget, forfeit any increase to the secondary game multiplier.