# Definition of minimax in US English:

## minimax

### noun

Mathematics
• 1The lowest of a set of maximum values.

Compare with maximin
• ‘The methods include the study of stable and unstable manifolds, bifurcations, index and degree, and construction of orbits as minima and minimaxes of action functionals.’
1. 1.1as modifier Denoting a method or strategy in game theory that minimizes the greatest risk to a participant in a game or other situation of conflict.
• ‘This paper introduced the idea of minimax reasoning for lower bounding randomized algorithms, and appeared only in FOCS 83.’
• ‘Michie recalls Turing experimenting with heuristics that later became common in chess programming (in particular minimax and best-first).’
• ‘There are real problems of deciding whether a given ‘game’ has a global minimax or multiple local minimaxes or a minimax at all!’
2. 1.2as modifier Denoting the theory that in a game with two players, a player's smallest possible maximum loss is equal to the same player's greatest possible minimum gain.
• ‘In game theory von Neumann proved the minimax theorem.’
• ‘One possible solution is the minimax search algorithm.’

### Origin

1940s: blend of minimum and maximum.

## minimax

/ˈmɪniˌmæks//ˈminēˌmaks/