Generating a score related to play on gaming devices

A gaming device comprising:

• a display for displaying outcomes of games played on the gaming device;
• an input device operable by the player for generating indicia related to the player's identity;
• a leader board for displaying scores that are each associated with indicia so generated;
• at least one of a coin acceptor, ticket acceptor, bill acceptor, and a physical object for engaging the gaming device with a credit or debit account;
• a credit meter for receiving credits from at least one of the acceptors and accounts;
• an actuator for initiating a game on the gaming device;
• a ticket printer for printing a ticket reflecting the balance of the player's credits remaining on the gaming device in response to actuation of a cash-out button on the electronic gaming device;
• and
• at least one processor configured to:
• predefine a total number of consecutively wagered credits for a score tracking session associated with a player of the electronic gaming device;
• apply at least one of the received credits as a wager on an outcome of a game played on the electronic gaming device responsive to receipt of an input to the gaming device;
• generate a random outcome of a game in response to a player-initiated input to the actuator;
• determine an amount awarded based on the random outcome;
• track the amount awarded by the gaming device in response to wagers placed and games played by the player up to the predefined number of credits wagered;
• divide the tracked amount awarded by the predefined number of credits wagered to generate an actual hold number;
• compare the actual hold number to a theoretical hold number for the gaming device;
• generate a score for the score tracking session that is a function of the comparison;
• display the score associated with the player's identifying indicia on the leader board;
• generate the score for each of a plurality of other players of the electronic gaming device;
• and
• display the other players' scores each associated with the respective players' identifying indicia on the leader board.