Disclosed is a computer-implemented method of (and system for) operating instances of a game having a plurality of game positions that can be occupied by players, such as a poker-type game. The method comprises assigning a player a plurality of weights relating to game positions, where each weight indicates a bias towards placement of the player at a game position. When a player has played in a first game at a given position, the weights are updated to indicate an altered bias towards placement at each position. The player is then assigned to a second game based on the updated weights.