I can't believe I'm explaining this to a maths major. Johnson and Stein weren't in the race. By ticking Johnson and Stein you were dividing your support equally between Trump and Clinton.
No, I was saying no to both of them.
So you want to play game theory. It does salve the conscience of one who knows he was supporting someone bad, but let us examine game theory.
You are playing a short game. I am playing a long game. And every good strategist knows that sometimes you have to lose a battle to win a war.
You are focused on the outcome of this, the most immediate election, as if that was the whole of the conflict. What you forget is that your vote does NOT come with a label saying "I don't actually like or support you, I'm actually just voting against the other guy." Your vote says to the one who receives it "I approve of what you are doing, don't change." After many elections in a row of voting against the other guy, you now are faced with one of the worst candidates your party ever put forward and you feel you must still support that candidate. You're like a $2 hooker wondering why the guys don't respect her.
The major parties do actually look at the 3rd party votes. They look at them with an eye of "those actually belong to us, why weren't they delivered to us." If they feel the problem is big enough, they start making speeches in support of the third party issues. If that isn't enough they insert an ignored platform plank. If that still doesn't work, they shift a little in the direction needed to claim the vote.
By not delivering the vote, I am telling the party I am unsatisfied, much like a stay at home voter. By delivering it to someone else, I am telling them what they need to do in order to get my vote. I am telling them that if they want my vote they have to shift towards me.
Your strategy means your party will continue to get worse and worse because you will still support them over the hated other. At least you keep getting your short term victories as you get screwed in the long run by candidates you detest. My strategy means that there will be some short term discomfort until one or the other party finally figures out how to win my vote.
That doesn't mean I'm satisfied with your second choice candidate. It means I'm not satisfied with your first or second choice candidates and am playing the LONG GAME to change it.
Be happy with your short term victory of your second choice candidate. By always delivering the vote, whether earned or not, this is what you get, this is what you asked for, this is what you deserve.