The axiom of determinacy states that every game with is determined. Its version for a move set is denoted .
Projective determinacy states that every infinite game of perfect information whose payoff is a projective set is determined.
Articles by others on the same topic
The Axiom of Determinacy (AD) is a principle in set theory that relates to the behavior of certain games and the existence of winning strategies in those games. More specifically, the Axiom of Determinacy posits that for certain kinds of infinite games involving two players, one player can always have a winning strategy.