# Game situation

From Encyclopedia of Mathematics

*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

This article was adapted from an original article by A.S. Mikhailova (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article