English

Asymmetric cut and choose games

Logic 2023-02-03 v2

Abstract

We investigate a variety of cut and choose games, their relationship with (generic) large cardinals, and show that they can be used to characterize a number of properties of ideals and of partial orders: certain notions of distributivity, strategic closure, and precipitousness.

Keywords

Cite

@article{arxiv.2207.09199,
  title  = {Asymmetric cut and choose games},
  author = {Peter Holy and Philipp Schlicht and Christopher Turner and Philip Welch},
  journal= {arXiv preprint arXiv:2207.09199},
  year   = {2023}
}

Comments

31 pages

R2 v1 2026-06-25T01:02:50.061Z