• Corpus ID: 15249582

An analysis of a war-like card game

@article{Alexeev2010AnAO,
  title={An analysis of a war-like card game},
  author={Boris V. Alexeev and Jacob Tsimerman},
  journal={ArXiv},
  year={2010},
  volume={abs/1001.1017}
}
In his book "Mathematical Mind-Benders", Peter Winkler poses the following open problem, originally due to the first author: "[In the game Peer Pressure,] two players are dealt some number of cards, initially face up, each card carrying a different integer. In each round, the players simultaneously play a card; the higher card is discarded and the lower card passed to the other player. The player who runs out of cards loses. As the number of cards dealt becomes larger, what is the limiting… 
1 Citations
Combinatorial Aspects of the Card Game War
TLDR
This paper studies a single-suit version of the card game War on a finite deck of cards, and introduces several combinatorial objects related to the game: game graphs, winloss sequences, win-loss binary trees, and game posets.

References

SHOWING 1-5 OF 5 REFERENCES
Personal communication
Alexeev) Mathematics Department
  • Alexeev) Mathematics Department
  • 2007
Fox08] Jacob Fox, personal communication
  • Fox08] Jacob Fox, personal communication
  • 2008
ch
  • 11, p. 134, A K Peters Ltd., Wellesley, MA,
  • 2007
J. Tsimerman) Department of Mathematics
  • J. Tsimerman) Department of Mathematics