A multi-player game includes both individual and bonus game aspects. Players play one or more individual games for a score. In one embodiment, game scores comprise an aggregate of scores from individual rounds of play in which indicia are displayed, held and replaced in an attempt to obtain the maximum number of matching indicia. One or more players are declared winners of the multi-player bonus event based upon game scores achieved during a predetermined interval of time. Prizes or winnings, such as all or part of a jackpot, is awarded to the winners of the bonus round. In one embodiment, players use portable devices such as cellular phones to play the game.