- For the first N rolls (50 < n < 100, I would guess), weight the dice rolls against the average of a player's previous rolls.
Specifics:
- For each player, keep a running average of their rolls. Until they've rolled 100 times or so, add (3.5 - avg) to their roll.
This will improve the following aspects of the site:
- Reduces the odds of being eliminated early because your first 20 rolls averaged 2.1. Also reduces the odds of having a game handed to you because your first 20 rolls averaged 5.1.
- As time passes and more rolls are factored into the average, the effect will diminish. Past 100 rolls it's certainly noise in the signal.