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In game-theoretic terms, it's trivial. Unless your third party comes from nowhere to a wide majority in the polls well before election day, choose the lesser evil and STFU until next time. That's the only strategy that doesn't lead us into a mess like the one we're in now.
That's what I mean. Voting third party isn't reasonable, unless it polls well enough ahead of time that it becomes a viable choice for people to risk their vote being wasted for the chance to pick a better option. But even then, they need to trust those polls and need to hope that enough other people come to the same conclusion to actually make it so...
If you want to break the two-party-stranglehold, you have to vote third party, but only if enough other people vote third party, and that kind of "guessing motives" or trusting in the other actors to make individually irrational but collectively rational decisions is where Game Theory breaks down.
The theory is clear, but humans aren't quite so easy to model, and when your game features piles and piles of incomplete information and non-deterministic decisions, things get muddy.