2 Best Ball Shamble
All players in a group tee off.  The best tee shot is selected and all players continue to play the rest of the hole with their own ball until holing out.  The 2 lowest scores for that group are the score for the team.   So if the two low scores for a hole by the group are a 4 and a 5, the team score is 9.

Can a player play his own ball all day if he wants to? Yes. If better golfers want to be able to compete against each other they can be part of a group for the Best Ball