# Gain function

From Encyclopedia of Mathematics

A function defined on the set of situations in a game (cf. Games, theory of), the values of which are a numerical description of the utility of a player or of a team of players in a given situation.

#### Comments

The gain function is better known as the pay-off function.

**How to Cite This Entry:**

Gain function. N.N. Vorob'ev (originator),

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Gain_function&oldid=13744

This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098