Infinite sums of combinatorial games (Dadaist games)

2025/05/01 by Lipparini, Paolo · 1 citation
#40J99 #91A46 #Combinatorics (math.CO) #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2505.00614

Abstract

We propose an interpretation of the infinite sum of combinatorial games. In such an interpretation, plays involve infinite runs, but without loops. The notion of a run is quite natural, but different possibilities arises for the notion of an alternating run.

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