Difference between revisions of "Strategy (in game theory)"
From Encyclopedia of Mathematics
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| − | A method of action of a player or coalition that is possible under the rules of a strategic game (see [[ | + | 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==== | ====References==== | ||
| − | <table><TR><TD valign="top">[a1]</TD> <TD valign="top"> J. Szép, F. Forgó, "Introduction to the theory of games" , Reidel (1985) pp. Sect. 9.1</TD></TR><TR><TD valign="top">[a2]</TD> <TD valign="top"> J. von Neumann, O. Morgenstern, "Theory of games and economic behavior" , Princeton Univ. Press (1953)</TD></TR></table> | + | <table> |
| + | <TR><TD valign="top">[a1]</TD> <TD valign="top"> J. Szép, F. Forgó, "Introduction to the theory of games" , Reidel (1985) pp. Sect. 9.1</TD></TR> | ||
| + | <TR><TD valign="top">[a2]</TD> <TD valign="top"> J. von Neumann, O. Morgenstern, "Theory of games and economic behavior" , Princeton Univ. Press (1953)</TD></TR> | ||
| + | </table> | ||
| + | |||
| + | {{TEX|done}} | ||
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| + | [[Category:Game theory, economics, social and behavioral sciences]] | ||
Latest revision as of 16:52, 18 October 2014
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=12344
Strategy (in game theory). Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Strategy_(in_game_theory)&oldid=12344