Publication | Closed Access
SOLVING NINE MEN'S MORRIS
67
Citations
10
References
1996
Year
Mathematical ProgrammingGame AiNine MenEngineeringEntire State SpaceData ScienceEndgame DatabasesCombinatorial GameGame TheoryCombinatorial ProblemBusinessP Versus Np ProblemComputer ScienceComputational Game TheoryGamesCombinatorial OptimizationMechanism DesignAlgorithmic Game Theory
The game of Nine Men's Morris is a draw. We obtained this result using a combination of endgame databases (10 10 states) and search. Our improved algorithm for computing endgame databases allowed the game to be solved on a personal computer. Other games have been solved using knowledge‐based methods to dramatically prune the search tree. Nine Men's Morris does not seem to profit from such methods, making it the first nontrivial game solved in which almost the entire state space has to be considered.
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