Futile game explained
In game theory, a futile game is a game that permits a draw or a tie when optimal moves are made by both players.[1] [2] An example of this type of game is the classical form of Tic-tac-toe,[3] though not all variants are futile games. The term 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.[4]
See also
Notes and References
- Book: Steinhaus, H.. Mathematical Snapshots. 3rd. New York: Dover. 1999. 16.
- Book: Weisstein, Eric W. . CRC Concise Encyclopedia of Mathematics . CRC Press . 2002 . 2nd . 1129.
- Book: Wang, Hao. Popular Lectures on Mathematical Logic. 2014-09-22. Courier Corporation. 9780486171043. en.
- Book: Ashlock, Daniel. Evolutionary Computation for Modeling and Optimization. 2006-04-04. Springer Science & Business Media. 9780387319094. en.