Scoring Play Combinatorial Games Under Different Operators

Details Scoring Play Combinatorial Games Under Different Operators Scoring Play Combinatorial Games Under Different Operators

2012-02-17

arxiv.org/abs/1202.4656v1

Mathematics

Combinatorics

Scientific paper

Scoring play games were first studied by Fraser Stewart for his PhD thesis. He showed that under the disjunctive sum, scoring play games are partially ordered, but do not have the same "nice" structure of normal play games. In this paper I will be considering scoring play games under three different operators given by John Conway and William Stromquist and David Ullman, namely the conjunctive sum, selective sum and sequential join.

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