Right now the winner of the "guess the score" contest for the year is determined solely by the number of wins, where a "win" is having the lowest "off by" for a game. We've been doing it this way since 2002-2003.

I was thinking of changing to a point system instead.

For each game
First place would be worth 9 points
Second place 6 points.
Third 3 points.

There would be one extra bonus point if you get the winner of the game correct, which everybody would be eligible for. That should help reward people who play more often.