A system and method is provided for continuous gameplay in a multiplayer video game through an unbounded gameplay session. Players may join, exit, and later rejoin a given unbounded gameplay session at any time. A given unbounded gameplay session may therefore continue indefinitely so long as at least one player wishes to continue to gameplay. To facilitate an unbounded gameplay session, the system may score players using time-based or other parameters in a manner that is fair to players who have been playing in the unbounded gameplay session longer than other players.