Different Types of Scores (e.g. tallying all players' points together)

I would like a community based scoring system (i.e. tally all players points together). So if I wanted to work on a dream that had two possible outcomes (e.g. Red or Green).  Depending on how the player finished, 1 point would be added to either Red or Green.  For the scoreboard, there would be only two scores (e.g. Red - 45, Green - 44).

I think this expansion of the scoreboard could allow for team battles (player selects a team and scores only for that team, etc.) and probably some other stuff as well.