Help identify: multi-player but single character role playing game
Perhaps you're thinking of Everyone is John?


  The main concept is that every player but one plays a voice in "John's" head. All of these voices are trying to get John to do something that they like.


Other similarities:


Shared character: Everyone is John, obviously.
Hidden goals: EiJ gives each "voice" three hidden goals of varying feasibility, worth points based on their difficulty.
Points: Voices bid to get control of John at various points in the game