SW StudyWalks

Artificial Intelligence  /  AI 0150  ·  Procedure · 60–90 seconds

The Stall Duel, Scored

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State

One worked market-stall duel shows minimax scoring with numbers instead of wins and losses.

Show

You choose one of three stall spots — Fountain, Gate, or Market Hall; a rival selling the same pastries then sets up in response, and their gain is your loss. Scouting gives your profit, in tens of dollars, for each pairing. Fountain's three outcomes: 4, 9, 6. Gate's: 8, 2, 11. Hall's: 7, 5, 10. Score backward. Each rival-fork takes its minimum — the rival picks whatever hurts you most — so Fountain becomes 4, Gate becomes 2, Hall becomes 5. Your fork takes the maximum of 4, 2, and 5: choose Market Hall, and the duel's minimax value is 5 — fifty dollars guaranteed whatever the rival does, and fifty is also all the rival will ever concede.

Watch for

Gate dangled the day's biggest number, 11, and Gate is the worst choice — its guarantee is 2.