Definition of minimax in 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. 1.1[as modifier](in game theory) denoting a strategy that minimizes the greatest risk to a participant.
      • ‘This paper introduced the idea of minimax reasoning for lower bounding randomized algorithms, and appeared only in FOCS 83.’
      • ‘There are real problems of deciding whether a given ‘game’ has a global minimax or multiple local minimaxes or a minimax at all!’
      • ‘Michie recalls Turing experimenting with heuristics that later became common in chess programming (in particular minimax and best-first).’
    2. 1.2[as 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.
      • ‘One possible solution is the minimax search algorithm.’
      • ‘In game theory von Neumann proved the minimax theorem.’

Origin

1940s: blend of minimum and maximum.

Pronunciation:

minimax

/ˈmɪnɪmaks/