06/11/12

A Game Theoretic Perspective on the Current Voting Dilemma

I am here trying to expose the rational reasons of my choice. My decision is to invalidate my vote in the upcoming elections.
You have a rational player (lets call him S) who is now entrusted with setting a up game were different parties compete. S has a vested interest in the outcome of the game. S would have to be incredibly altruistic not to make the rules of the game favor the outcome he desires.

You have also have another player, (lets call him M) who has been getting small positive payoffs from S. M was foolish enough to think he could outmaneuver S at his own game. In fact, M was directly responsible for putting S in a position to put down the rules of the game and was immediately given small rewards, while another player (named R) objected strongly. 

In strategic interactions between S and R, S has shown himself to be completely non-altruistic and R suffered severe negative payoffs. In strategic interactions between M and R, M has shown himself to be also completely non-altruistic and R suffered negative payoffs, but not as severe as when it interacted with S. 

R is now asked to support either M or S in a game in which he was eliminated. The outcome of that game will determine who gets to interact strategically with R in the future. R’s support for either player is costly (i.e. it is an acknowledgment of the rules of  the game). R knows that S will not be fully eliminated under any outcome. R calculates that his expected payoff is unlikely to change under any outcome. R knows that although long ago his payoffs were strongly correlated with M, but that has ceased to be the case.
R decides not play this game.