Game situation
From Encyclopedia of Mathematics
Revision as of 16:50, 18 October 2014 by Richard Pinch (talk | contribs) (Category:Game theory, economics, social and behavioral sciences)
situation, $n$-tuple of strategies, in the theory of non-cooperative games
The result of a choice by all coalitions of action (see Games, theory of) of their strategies with regard to the connections between the strategies of the various coalitions of action. The set of all situations can be understood as a subset of the Cartesian product $\prod_{K\in\mathfrak K_a}X_K$, where $X_K$ is the set of all strategies of the coalition of action $K$ and $\mathfrak K_a$ is the set of all coalitions of action.
Comments
The notion of a game situation is hardly used in the Western literature.
How to Cite This Entry:
Game situation. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Game_situation&oldid=33812
Game situation. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Game_situation&oldid=33812
This article was adapted from an original article by A.S. Mikhailova (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article