Strictly determined game
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This article may be too technical for most readers to understand. Please help improve it to make it understandable to non-experts, without removing the technical details. (January 2017) (Learn how and when to remove this template message) |
In game theory, a strictly determined game is a two-player zero-sum game that has at least one Nash equilibrium with both players using pure strategies. The value of a strictly determined game is equal to the value of the equilibrium outcome.[1][2][3][4][5]
Contents
Examples[edit]
- Chess
Notes[edit]
The study and classification of strictly determined games is distinct from the study of Determinacy, which is a subfield of set theory.
See also[edit]
References[edit]
- ^ Waner, Stefan (1995–1996). "Chapter G Summary Finite". Retrieved 24 April 2009.
- ^ Steven J. Brams (2004). "Two person zero-sum games with saddlepoints". Game Theory and Politics. Courier Dover Publications. pp. 5–6. ISBN 9780486434971.
- ^ Saul Stahl (1999). "Solutions of zero-sum games". A gentle introduction to game theory. AMS Bookstore. p. 54. ISBN 9780821813393.
- ^ Abraham M. Glicksman (2001). "Elementary aspects of the theory of games". An Introduction to Linear Programming and the Theory of Games. Courier Dover Publications. p. 94. ISBN 9780486417103.
- ^ Czes Kośniowski (1983). "Playing the Game". Fun mathematics on your microcomputer. Cambridge University Press. p. 68. ISBN 9780521274517.
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