2012/02/17 by Fraser Stewart, Stewart, Fraser
Computer Science · Economics, Econometrics and Finance · Mathematics · Social Sciences · #Artificial Intelligence in Games #Combinatorics (math.CO) #Digital Games and Media #FOS: Mathematics #Sports Analytics and Performance #math.CO
paper · pdf · doi:10.48550/arxiv.1202.4655
openalex publication_date 2012/02/17 · arxiv created 2012/08/04 · arxiv updated 2012/08/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.