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Strategy (in game theory)

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A method of action of a player or coalition that is possible under the rules of a strategic game (see Games, theory of). In games in normal form (see Non-cooperative game), the direct description of sets of strategies is part of the "rules" of the game. In a positional game (see also Dynamic game) strategies are not defined directly by the rules of the game, but indirectly on the basis of it. If in a non-cooperative game the choice of strategies is fixed (for example, by an optimality principle), then the game becomes non-strategic (see Cooperative game).

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References

[a1] J. Szép, F. Forgó, "Introduction to the theory of games" , Reidel (1985) pp. Sect. 9.1
[a2] J. von Neumann, O. Morgenstern, "Theory of games and economic behavior" , Princeton Univ. Press (1953)
How to Cite This Entry:
Strategy (in game theory). Encyclopedia of Mathematics. URL: http://www.encyclopediaofmath.org/index.php?title=Strategy_(in_game_theory)&oldid=33813