Do you have any general tips for dealing with Games?
I'm so glad you asked: as it happens, I do!
The most important thing you can do is find a good way to graphically display the test material. The idea here is that you'll find it easier to see answers than to try to think up answers.
I don't believe I've ever made a deduction while working a game on an actual test. I wouldn't put any credence in a system that requires you to make deductions in games in order to be successful. You can learn to generate and process information visually, and then simply do the pencil work. My method isn't sexy - it's just brutally effective.
Maintaining a visual organization is a low-order thinking skill that you can easily master with practice. Once you have a strong technique, time is not a problem any more. It really doesn't matter precisely how you display information, but it does need to be visual, visual, visual.
(Btw, if you've never taken a practice LSAT, the June test from 2007 is available free here. You also might find it helpful to watch the free video explanations for every question from every recent test available here).
What you can do is seek similarities between games. Every single game administered by LSAC this millennium (with precisely two exceptions, one each from PrepTests 40 + 41) has had strong organizational ties to many other games (and clear cues to those ties). If you can see it, you can work it.
The general principle is this: The games section heavily rewards your ability to efficiently follow directions. The rules of the game are those directions. So, if you can create a strongly visual iteration of the abstractions offered in the setup and rule-set, then you can use your pencil to work out what the rules dictate.
The difference between a deduction-heavy approach and my approach is almost exactly the same as the difference between dividing 7,654 by 12 in your head, and doing long division. The former is elegant and impressive and really hard to do.
I do long division. It's exacting and effective (though not very impressive at all), and it's very easy to do. I have a series of small, simple steps that I perform in the same way, every time, that transform the giant global conundrum of the game into a sequence of low-order actions.
I don't have to think very much during a games section, in much the same way that you don't have to think too hard to do long division with a pencil.