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A brief conversation about subtraction games

2024/05/30 by Urban Larsson, Indrajit Saha, Larsson, Urban +1 · 1 citation
Social Sciences · Psychology · #Digital Games and Media #Educational Games and Gamification

paper · pdf · doi:10.48550/arxiv.2405.20054

Abstract

In this survey we revisit \sc finite subtraction, one-heap subtraction games on finite rulesets. The main purpose is to give a general overview of the development, and specifically to draw attention to Flammenkamp's thesis (1997), where he, contrary to other studies, experimentally observes exponential eventual period length of the outcomes, for a carefully selected subclass of games. In addition, we contribute an appendix on \sc finite excluded subtraction by Suetsugu.

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