Strategy (in game theory)
From Encyclopedia of Mathematics
The printable version is no longer supported and may have rendering errors. Please update your browser bookmarks and please use the default browser print function instead.
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).
Comments
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://encyclopediaofmath.org/index.php?title=Strategy_(in_game_theory)&oldid=33813
Strategy (in game theory). Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Strategy_(in_game_theory)&oldid=33813