Gaming system, gaming device, and method for providing a game in which players position selectors within a field of selections based on values masked by the selections

A gaming system comprising:

• a controller programmed to operate with a first gaming device and a second gaming device,
• the first gaming device configured to establish a first credit balance responsive to receipt, via a first acceptor of the first gaming device, of a first physical item associated with a first monetary value, the first gaming device configured to, responsive to receipt of a first wager input, place a first wager on a play of a game and cause the first credit balance to decrease based on the placed first wager, the first gaming device configured to, responsive to an actuation of a cashout input associated with the first gaming device, initiate a payout associated with the first credit balance,
• the second gaming device configured to establish a second credit balance responsive to receipt, via a second acceptor of the second gaming device, of a second physical item associated with a second monetary value, the second gaming device configured to responsive to receipt of a second wager input, place a second wager on the play of the game and cause the second credit balance to decrease based on the placed second wager, the second gaming device configured to, responsive to an actuation of a cashout input associated with the second gaming device, initiate a payout associated with the second credit balance,
• the controller programmed to operate with the first claming device and the second gaming device to:
• associate a first selector with the first gaming device and a second selector with the second gaming device;
• cause a display of a field including a plurality of spaced-apart selections, and
• for the play of the game in which a first player at the first gaming device and a second player at the second gaming device are participating:
• until a game expiration event for the play of the game occurs for the first gaming device:
• receive data indicative of a first device game input from said first gaming device,
• cause the first selector to be displayed at the first gaming device and the second gaming device as moving within the field of selections based on the first device game input, and
• if the first selector has a designated spatial relationship with any selection, cause the first gaming device but not the second gaming device to temporarily reveal the value associated with said spatially related selection,
• until the game expiration event for the play of the game occurs for the second gaming device:
• receive data indicative of a second device game input from said second gaming device,
• cause the second selector to be displayed at the first gaming device and the second gaming device as moving within the field of selections based on the second device game input, and
• if the second selector has the designated spatial relationship with any selection, cause the second gaming device but not the first gaming device to temporarily reveal the value associated with said spatially related selection,
• when the game expiration event for the play of the game occurs for said first gaming device:
• determine if the first selector has the designated spatial relationship with any selection,
• if the first selector has the designated spatial relationship with any selection, cause a first award to be provided to the first player, the first credit balance being increasable by the first award, and
• when the game expiration event for the play of the game occurs for said second gaming device:
• determine if the second selector has the designated spatial relationship with any selection,
• if the second selector has the designated spatial relationship with any selection, cause a second award to be provided to the second player, the second credit balance being increasable by the second award.