There are several distinct types of Multiplayer modes in Video Games. This trope is a Sister Trope of Competitive Multiplayer, Meta Multiplayer and Massively Multiplayer.
See also Misbegotten Multiplayer Mode, where multiplayer modes are featured in games that are really designed for single-player.
Co-Operative
All players are on the same team, playing against the computer; this only counts if [...] [tvtropes.org]