For anyone who has any doubts about the merits of considering politics in terms of game theory should look at the debt ceiling negotiations. If one or the other political side backs down on their demands, the opposite side gets a considerable "win". If neither side backs down in time, everybody loses.
Classic Game of chicken.
The most important thing to consider is why people play this silly game when the livelihoods of millions of people are at stake? The first question is why do people play chicken when their own life is at stake?
Obviously the perceived political rewards are so huge in having the opposition back down in humiliation.
My hope is that if one side or the other backs down, that they get rewarded at the ballot box rather than punished - Hopefully changing the political perceptions for next time. I don't hold out much hope.