Electronic gaming environment with display of multiple instances of single-player games and multiplayer bonus game

A gaming server, game playing apparatus and a method for facilitating play of a multiplayer game by multiple players each playing an instance of single-player wager game at a workstation having a display. Multiple single-player wager game instances are aggregated into a multiplayer game environment. In the single-player wager game, one of the possible rewards for a turn of play is an award of a multiplier credit useable in a bonus game. The bonus game is played by those players having accumulated at least one multiplier credit at the time the bonus game is triggered. A result in the bonus game is generated randomly by a bonus machine from a finite set of possible results. The winnings in the bonus game is the product of the player's multiplier credit multiplied by the result. Winnings are obtained from the game proprietor, are independent of results for other players, and are not shared with such other players. The bonus machine can take several forms, including a wheel, a reel, or a machine randomly selecting a numbered ball.