Infinite sums of combinatorial games (Dadaist games)

Fuente: arXiv
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Main Author: Lipparini, Paolo
Format: Preprint
Published: 2025
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author Lipparini, Paolo
author_facet Lipparini, Paolo
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2505_00614
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Infinite sums of combinatorial games (Dadaist games)
Lipparini, Paolo
Combinatorics
Rings and Algebras
91A46, 40J99
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.
title Infinite sums of combinatorial games (Dadaist games)
topic Combinatorics
Rings and Algebras
91A46, 40J99
url https://arxiv.org/abs/2505.00614