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040 _aDLC
_cUPMin
_dupmin
041 _aeng
090 _aLG993.5 2002
_bA64 D45
100 1 _aDelfino, Annalou B.
_91138
245 0 0 _aA winning strategy for the Dama game /
_cAnnalou B. Delfino
260 _c2002
300 _a30 leaves
502 _aThesis (BS Applied Mathematics) -- University of the Philippines Mindanao, 2002
520 3 _aThe dama game was properly defined by its given rule. A mathematical representation to the problem was obtained. The game tree of dama consists of two nodes namely the MAX and the MIN nodes. Each node represents the status of the game based on the rule of the game. The tree was subdivided into levels where the first level is called the MAX level; the second level is the MIN level and so on. The sixth level of the game tree was considered as the terminal level and the nodes are also the terminal node since the number of nodes at the next level is no longer manageable. An evaluation function then was used to evaluate each terminal node at the level six. Status labeling procedure was employed then to evaluate the ancestor nodes. This procedure determines the winning path of the game. Results showed that in a 4 x 4 dama game tree, the first player has high chance of winning the game. Optimality however cannot be identified for large game trees
658 _aUndergraduate Thesis
_cAMAT200
905 _aFi
905 _aUP
942 _2lcc
_cTHESIS
999 _c175
_d175