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What is the minimax value of a position?

  • A.The best value the player to move could possibly obtain by luck
  • B.Its value assuming both players play optimally thereafter
  • C.The average value of all positions reachable from it
  • D.The value assigned by the evaluation function directly

Answer: B

The minimax value is computed by backing up terminal utilities, with each player choosing the successor best for themselves, so it presumes optimal play by both sides. Against a weak opponent a different move might score better, but minimax guarantees the value against any opponent. Averaging belongs to expectimax, direct evaluation is the leaf estimate, and luck belongs to games of chance. A value defined by an assumption is only as useful as the assumption, which is why the assumption is stated explicitly.

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