Gaming device having an improved offer/acceptance bonus scheme

A gaming device operable under control of a processor, said gaming device comprising:

• a game controlled by the processor;
• a path in said game, said path including a plurality of positions, wherein a plurality of said positions are each associated with an initial award offer;
• an input device in communication with the processor;
• and
• a display device adapted to display the game to a player;
• wherein said processor is operable with the display device and the input device to control a play of the game by:
• (a) displaying a plurality of the initial award offers associated with a plurality of the positions of the path;
• (b) indicating one of the positions of the path;
• (c) enabling the player to accept or reject the displayed award offer associated with the indicated position;
• (d) if the player accepts the displayed offer associated with the indicated position, providing said award offer to the player;
• and
• (e) if the player rejects the displayed award offer associated with the indicated position:
• (i) modifying a plurality of the displayed award offers associated with a plurality of the positions of the path, wherein at least one of said modifications is based on a plurality of the previous award offers made to the player, and
• (ii) repeating (b) to (e) until the player accepts one of the modified award offers or a termination event occurs.

A method of operating a gaming device, said method comprising:

• (a) displaying a path including a plurality of positions, wherein a plurality of said positions are each associated with one of a plurality of award offers;
• (b) generating at least one of said positions of said path;
• (c) enabling the player to accept or reject the award offer associated with the generated position;
• (d) if the player accepts said award offer associated with the generated position, providing the accepted award offer to the player;
• and
• (e) if the player rejects said award offer associated with the generated position:
• (i) modifying a plurality of award offers associated with a plurality of said positions based on the total value of all previous award offers made to the player, and
• (ii) repeating (b) to (e) at least once.

A method of operating a gaming device, said method comprising:

• (a) displaying a path to a player, said path including a plurality of positions, wherein a plurality of said positions are each associated with an initial award offer;
• (b) displaying a plurality of the initial offers associated with a plurality of the positions of the path to the player;
• (c) indicating one of the positions of the path;
• (d) enabling the player to accept or reject the displayed award offer associated with the indicated position;
• (e) if the player accepts the displayed offer associated with the indicated position, providing said award offer to the player;
• and
• (f) if the player rejects the displayed award offer associated with the indicated position:
• (i) modifying a plurality of the displayed award offers associated with a plurality of said positions of the path, wherein at least one of said modifications is based on a plurality of the previous award offers made to the player, and
• (ii) repeating (c) to (f) until the player accepts one of the modified award offers or a termination event occurs.