Learning how to win games that you are losing has been in the forefront of my mind. Reading Wei-Hwa's latest comment, I realized that my thoughts aren't likely to evolve much in the near future, so I'd just throw this out.
These thoughts are definitely provisional.
The first step to come back from a losing game is to accept that you are losing. If you are losing, you are behind the curve (either on income or VPs, depending on the stage of the game). So, if you and your opponent stay on the same curve you can't win. You'll have to get lucky. At some point, you'll have to take a risk.
For example, if your natural play would be to settle a pretty good world, perhaps you can risk someone else calling settle and exploring for a better world. I imagine that most of the plays are variants on that theme.
- Calling your 'perfect' role hoping that your opponent(s) call another role you need.
- Exploring +1 instead of +5 for that one card, hoping to bag your card and a spare.
- Dumping your hand on an expensive card (instead of playing to keep your next obvious play) and hoping that your next big income will allow you to continue on your path.
Things like that.
As Wei-Hwa says, the "leader" should be minimizing exposure to luck. Just select your 'good' role, make the steady play.
When taken together, that means that the leader should be more predictable then the trailing player. [This assumes that the leader has set themselves along a curve and isn't staring at a sudden dip ... like a hand of useless cards].
As a trailing player, you should also look at ways to vary the timing. If you are trailing with a larger tableau, then you have to concentrate on making your builds count more (having a nice 'density') or turning on your consumption engine ASAP. The nice aspect is that you can end the game, or let it go on, according to how the VP are working out.
Standard thoughts about losing apply -- if you are only slightly behind then you may just need to hope for a bit of luck. Would one perfect card salvage your situation? If so, then perhaps an explore +5. If you are grossly behind, then you'll need to swing for the fences.
If this all sounds vague; well, to a certain extent it is. By the time you can really ascertain losing, there are enough cards down to make it a case by case basis.
I'm sure that I am forgetting good pieces of general advice. Perhaps I don't know them yet.