In game theory, a futile game is a game that permits a draw or a tie when optimal moves are made by both players. An example of this type of game is the classical form of Tic-tac-toe, though it doesn't necessarily apply to variants. It also does not apply to intransitive games, such as iterated prisoner's dilemma or rock–paper–scissors, in which there is no path to a draw or every strategy in the game can be beaten by another strategy.
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- Wang, Hao (2014-09-22). Popular Lectures on Mathematical Logic. Courier Corporation. ISBN 9780486171043.
- Ashlock, Daniel (2006-04-04). Evolutionary Computation for Modeling and Optimization. Springer Science & Business Media. ISBN 9780387319094.
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