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''situation, <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/g/g043/g043260/g0432602.png" />-tuple of strategies, in the theory of non-cooperative games''

The result of a choice by all coalitions of action (see [[Games, theory of|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 <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/g/g043/g043260/g0432603.png" />, where <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/g/g043/g043260/g0432604.png" /> is the set of all strategies of the coalition of action <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/g/g043/g043260/g0432605.png" /> and <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/g/g043/g043260/g0432606.png" /> is the set of all coalitions of action.



====Comments====
The notion of a game situation is hardly used in the Western literature.