Scoring Play Combinatorial Games

Details Scoring Play Combinatorial Games Scoring Play Combinatorial Games

2012-02-17

arxiv.org/abs/1202.4652v1

Mathematics

Combinatorics

PhD Thesis

Scientific paper

This thesis will be discussing scoring play combinatorial games and looking at the general structure of these games under different operators. I will also be looking at the Sprague-Grundy values for scoring play impartial games, and demonstrating that there is an easily computable function that will solve a large range of octal games easily. I will also be demonstrating that my theory can readily be applied to the scoring play game of Go and can lead to a much greater understanding of the game.

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