The probability that a two-player, repeated game comes to an end in each stage is 2. When 2 = 1, this game may be treated as:
A) A one-time game.
B) A finitely-repeated game with a certain end.
C) A finitely-repeated game with an uncertain end.
D) An infinitely-repeated game.
E) Answers a and b are correct.

Question

Quizplus · Accepted Answer

When the probability that a game ends in each stage is 1 (i.e., a certainty), it means the game will definitely end after one stage, making it effectively a one-time game. This also fits the definition of a finitely-repeated game with a certain end, as the end of the game is predetermined to occur after the first stage.

The Probability That a Two-Player, Repeated Game Comes to an End