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Difference between revisions of "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|Games, theory of]]). In games in normal form (see [[Non-cooperative game|Non-cooperative game]]), the direct description of sets of strategies is part of the  "rules"  of the game. In a [[Positional game|positional game]] (see also [[Dynamic game|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|Cooperative game]]).
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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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<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>
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<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>
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<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>
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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).

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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://encyclopediaofmath.org/index.php?title=Strategy_(in_game_theory)&oldid=33813