English

The Sprague-Grundy function for some selective compound games

Combinatorics 2018-02-27 v1

Abstract

We analyze the Sprague-Grundy functions for a class of almost disjoint selective compound games played on Nim heaps. Surprisingly, we find that these functions behave chaotically for smaller Sprague-Grundy values of each component game yet predictably when any one heap is sufficiently large.

Keywords

Cite

@article{arxiv.1802.08700,
  title  = {The Sprague-Grundy function for some selective compound games},
  author = {Calvin Beideman and Matthew Bowen and Necati Alp Muyesser},
  journal= {arXiv preprint arXiv:1802.08700},
  year   = {2018}
}
R2 v1 2026-06-23T00:31:50.316Z