The Namer-Claimer game

@article{Barber2021TheNG,
  title={The Namer-Claimer game},
  author={Ben Barber},
  journal={Discret. Math.},
  year={2021},
  volume={344},
  pages={112256}
}
  • Ben Barber
  • Published 31 August 2018
  • Computer Science, Mathematics
  • Discret. Math.
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. 

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