Impartial Scoring Play Games

Details Impartial Scoring Play Games Impartial Scoring Play Games

2012-02-17

arxiv.org/abs/1202.4655v1

Mathematics

Combinatorics

Scientific paper

In this paper we will be examining impartial scoring play games. We first give the basic definitions for what impartial scoring play games are and look at their general structure under the disjunctive sum. We will then examine the game of nim and all octal games, and define a function that can help us analyse these games. We will finish by looking at the properties this function has and give many conjectures about the behaviour this function exhibits.

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