Optimizing drawing prize awards

1. A gaming system for use with a network of a plurality of electronic gaming machines each of which has at least one meter for tracking wagers placed using a bet input device on the electronic gaming machine, the gaming system including:

at least one processor connected to the network, the at least one processor configured to:

initiate a promotional game;

receive data from the at least one meter at each of a plurality of the electronic gaming machines;

generate preliminary drawing entries for each player of the electronic gaming machines, the number of preliminary drawing entries being related to the amount of wagers by the player;

store the related preliminary number of drawing entries in a database in association with each player's identity;

total the number of preliminary entries for each player after the promotional game ends to create a first set of entries having a first number of entries therein;

associate a plurality of at least some but less than all of the players with at least one predefined multiplier number at least one of which is greater than one;

multiply each player's preliminary drawing entries by the player's associated multiplier number to create a second set of drawing entries having a second number of entries therein for each of at least some but less than all of the players;

combine the preliminary set of drawing entries for players not having an associated multiplier number with the second set of drawing entries for players who have an associated drawing number;

draw one from among the combined drawing entries;

associate a prize from a prize table with at least one entry drawn from the combined drawing entries;

continue to draw drawing entries from the combined drawing entries until there are no more prizes;

display on a display screen the prizes associated with a drawn entry along with indicia that identifies the player whose entry has a prize associated with it; and

award the prizes to the players.

2. The gaming system of claim 1 wherein the prize table includes prizes of varying value and the processor is further configured to award prizes in order from the lowest value to the highest value.

3. The gaming system of claim 1 wherein the processor is further configured to:

receive an electronic communication from a player; and

generate a presentation on a display that reveals the prizes won by a player responsive to the electronic communication.

4. The gaming system of claim 1 wherein the processor is further configured to define a start time and an end time for the promotional game and wherein the amount of play by the player comprises the amount of play between the start time and the end time.

5. The gaming system of claim 1 wherein some of the prizes are in a group of prizes having equal value and wherein the processor is further configured to award all of the prizes in the group before awarding a prize having greater value than one of the prizes in the group.

6. The gaming system of claim 1 wherein the processor is further configured to create a running total of prizes awarded for each player while the prizes are associated with each drawn entry.

7. The gaming system of claim 1 wherein the processor is further configured to generate a presentation on a display associated with the gaming machines that reveals the prizes won by a player.

8. A gaming system for use with a network of a plurality of electronic gaming machines each of which has at least one meter for tracking wagers placed using a bet input device on the electronic gaming machine, the gaming system including:

at least one processor connected to the network, the at least one processor configured to:

initiate a promotional game;

receive wagering data from each of a plurality of the electronic gaming machines;

create a number of drawing entries in a first set of drawing entries for each of the tracked players, the number of drawing entries in the first set being related to the amount of play by each player;

enhance the odds of winning for each player in a group of a plurality of predefined players comprising less than all of the players by multiplying the drawing entries for each player in the predefined group by a multiplier greater than one to create a second set of drawing entries for each player in the predefined group;

store all the entries in a database;

combine the first set of drawing entries for players not having a second set of drawing entries with the second set of drawing entries for players who do;

draw one at a time from the combined drawing entries at the end of the promotional game;

associate a prize with at least one drawn entry until there are no more prizes; and

award the prizes to the players.

9. The gaming system of claim 8 wherein the at least one processor is further configured to define a start time and an end time for the promotional game and wherein tracking multiple plays by players on the plurality of gaming devices comprises tracking play on the plurality of gaming devices between the start time and the end time.

10. The gaming system of claim 9 wherein the at least one processor is further configured to reveal the prizes won by a player responsive to an electronic communication from the player.

11. The gaming system of claim 10 wherein the electronic communication comprises a text message.

12. The gaming system of claim 10 wherein the at least one processor is further configured to generate a presentation on a display associated with the gaming devices.

13. The gaming system of claim 8 wherein the gaming devices include bet meters and wherein the at least one processor is further configured to receive data from the bet meters.

14. The gaming system of claim 8 wherein the number of drawing entries are proportional to the wagering data.

15. The gaming system of claim 9 wherein the at least one processor is further configured to award prizes in order from the least valuable to the most valuable.

16. The gaming system of claim 8 wherein some of the prizes are in a group of prizes having equal value and wherein the at least one processor is further configured to award all of the prizes in the group before awarding a prize having greater value than one of the prizes in the group.

17. The gaming system of claim 9 wherein the at least one processor is further configured to create a running total of prizes awarded for each player while the prizes are associated with each drawn entry.

18. The gaming system of claim 8 wherein the at least one processor is further configured to associate the multiplier with a player-tracking record that is associated with the player.

19. The gaming system of claim 8 wherein the at least one processor is further configured to associate the player's drawing entries and prizes with a player tracking record.