game - Adversarial Search Chapter 6 Section 1 – 4 Games...

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Unformatted text preview: Adversarial Search Chapter 6 Section 1 – 4 Games vs. search problems • "Unpredictable" opponent specifying a move for every possible opponent reply • Time limits unlikely to find goal, must approximate • Solutions – Search problems: a path – Games: a strategy – But how? Game tree (2-player, deterministic, turns) Minimax • Perfect play for deterministic games • Idea: choose move to position with highest minimax value = best achievable payoff against best play • E.g., 2-ply game: Minimax algorithm Properties of minimax • Complete? Yes (if tree is finite) • Optimal? Yes (against an optimal opponent) • Time complexity? O(b m ) • Space complexity? O(bm) (depth-first exploration) • For chess, b ≈ 35, m ≈100 for "reasonable" games exact solution completely infeasible α-β pruning example α-β pruning example α-β pruning example α-β pruning example...
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This document was uploaded on 11/13/2009.

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game - Adversarial Search Chapter 6 Section 1 – 4 Games...

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