Finite and Infinite Games

by James P. Carse

Since finite games are played to be won, players make every move in a game in order to win it. Whatever is not done in the interest of winning is not part of the game. The constant attentiveness of finite players to the progress of the competition can lead them to believe that every move they make they must make. —It may appear that the prizes for winning are indispensable, that without them life is meaningless, perhaps even impossible. There are, to be sure, games in which the stakes seem to be life and death. In slavery, for example, or severe political oppression, the refusal to play the demanded role may be paid for with terrible suffering or death. Even in this last, extreme case we must still concede that whoever takes up the commanded role does so by choice. Certainly the price for refusing it is high, but that there is a price at all points to the fact that oppressors themselves acknowledge that even the weakest of their subjects must agree to be oppressed.