To get off the soapbox, I thought it would be nice to have a discussion of Triple Backgammon strategy.  I have some thoughts and I'm sure others do to.

One observation that occurred to me is that, if you can imagine winning all your games in a tournament, you could do so and still not win the tournament.  This is fairly obvious if you think about the scoring system, but it makes the point fairly sharply that one should always be on the lookout for gammon opportunities, even at the risk of losing a single (or even a gammon).