A promotional game is conducted over participants' cell phones. During a play period, a participant advances on a virtual game board using cell phone commands. During the player period drawing entries are generated proportional to play on electronic gaming devices, play of the promotional game, or retail purchases. Some players receive a multiplier for their drawing entries to enhance chances of winning the promotional game. In one embodiment, the multiplier is removed for a player after a cutoff threshold for prizes awarded to that player is reached.