Infinite games require outcomes to be attached to complete histories of game play rather than leaves of a tree

Infinite games So far, games were tacitly assumed finite in length. This assumption is innocuous for many real life scenarios, yet there are notable exceptions. A prominent example are safety games, where one of the players, the guard, has to ensure a system to never leave a certain state, while the opponent attempts to deviate. Many technical tools for finite games also work for infinite games. There is, however, a number of conceptual and logical discontinuities. Since infinite games have no l