English

The Namer-Claimer game

Combinatorics 2018-09-03 v1

Abstract

In each round of the Namer-Claimer game, Namer names a distance d, then Claimer claims a subset of [n] that does not contain two points that differ by d. Claimer wins once they have claimed sets covering [n]. I show that the length of this game is of order log log n with optimal play from each side.

Cite

@article{arxiv.1808.10800,
  title  = {The Namer-Claimer game},
  author = {Ben Barber},
  journal= {arXiv preprint arXiv:1808.10800},
  year   = {2018}
}

Comments

7 pages

R2 v1 2026-06-23T03:50:45.840Z