Infinite sums of combinatorial games (Dadaist games)
Combinatorics
2025-05-02 v1 Rings and Algebras
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.
Cite
@article{arxiv.2505.00614,
title = {Infinite sums of combinatorial games (Dadaist games)},
author = {Paolo Lipparini},
journal= {arXiv preprint arXiv:2505.00614},
year = {2025}
}
Comments
16 pages