Mathematics – Combinatorics
Scientific paper
2012-02-17
Mathematics
Combinatorics
Scientific paper
In this paper we will discuss scoring play games. We will give the basic definitions for scoring play games, and show that they form a well defined set, with clear and distinct outcome classes under these definitions. We will also show that under the disjunctive sum these games form a semi-group that is closed, partially ordered with distinct equivalence classes that have a unique representative or canonical form.
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