A multi-player game includes both individual and bonus game aspects. Players play 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. If a player achieves a sufficiently high score, the player is permitted to play the game in a bonus round for a bonus score. A pool of players is determined from the bonus scores of players who play during a predetermined interval of time. A jackpot is awarded to one or more of the players of the pool based upon their bonus scores, such as the players with the highest bonus scores. In one embodiment, players use portable devices such as cellular phones to play the game and the jackpot is funded from charges associated with air time.