Game play requests in a bingo gaming system are associated with different play characteristic classes and collected into different game play groups simultaneously according to play characteristic class. Once a sufficient number of game play requests are collected in a respective game play group, a bingo game is conducted with the respective game play group and results are returned to the players associated with that game play group. Play characteristic class may be defined on the basis of the speed at which players take any required actions to claim results in a game so that players who may take the required actions relatively slowly will not be grouped for games with players who may take the required actions relatively quickly.