A tournament system for electronic games in which scores achieved on the games are transmitted to one or a hierarchy of computers in which a winner is determined. At least one computer stores a player code associated with player credits. The players insert credit cards into the games which read the player codes, send the codes to a computer, obtain verification signals from the computer and are thereby enabled. The computer also stores handicap values associated with players and/or the games, and modifies the scores by the handicap values. The computer can also download advertising, winner or other messages to specific ones or all the games for display, and can cause the games played to be modified or changed.