2012/02/17 by Fraser Stewart, Stewart, Fraser
Business, Management and Accounting · Computer Science · Mathematics · #Artificial Intelligence in Games #Combinatorics (math.CO) #FOS: Mathematics #Organizational Management and Leadership #math.CO
paper · pdf · doi:10.48550/arxiv.1202.4653
This paper has been accepted to appear in the journal Games of No Chance 5 - Publication due in 2013
openalex publication_date 2012/02/17 · arxiv created 2012/11/06 · arxiv updated 2012/11/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 monoid that is closed and partially ordered. We also show that they form equivalence classes with a canonical form, and even though it is not unique, it is as good as a unique canonical form.