Patent ID: 7572184

Claim:
A method of operating a gaming device, said method comprising: (a) for each play of a game, causing a processor to execute a plurality of instructions to control said play of the game by: (i) causing at least one display device to display a plurality of first potential offers; (ii) enabling a player to accept or reject a first offer, wherein said first offer is one of the plurality of first potential offers; (iii) if the player accepts the first offer, providing the first offer to the player; and (iv) if the player rejects the first offer: (A) replacing a plurality of said first potential offers with a plurality of different second potential offers, wherein each of said plurality of different second potential offers is based on a total value of all of the rejected offers, (B) determining a second offer selected from one of the plurality of first potential offers and said plurality of different second potential offers, (C) enabling the player to accept or reject the second offer, and (D) providing the player the second offer if the player accepts said second offer.