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Synthese

, Volume 185, Supplement 1, pp 19–25 | Cite as

Game of the truel

  • Xiaopeng XuEmail author
Article

Abstract

This note examines when the worst shot should aim his first shot into the air in a game of the truel presented by Singh (Fermat’s Enigma: the epic quest to solve the world’s greatest mathematical problem. Walker and Company, New York, 1987) in his popular book on Fermat’s Last Theorem. It also analyzes a variant of the game. Finally, it considers the possibility of the situation in which the worst and better shots are both willing to reverse the order of their moves in the original game.

Keywords

Kinnaird truel Fixed sequential order First-mover advantage 

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References

  1. Bossert D., Brams J., Kilgour D. M. (2002) Cooperative vs non-cooperative truels: Little agreement, but does that matter?. Games and Economic Behavior 40(2): 185–202CrossRefGoogle Scholar
  2. Ferguson, T. S. (n.d.). Choice of weapons for the truel. Mimeograph. http://www.math.ucla.edu/~tom/papers/unpublished/truel.pdf.
  3. Kilgour D. M., Brams J. (1997) The truel. Mathematics Magazine 70(5): 315–326CrossRefGoogle Scholar
  4. Kinnaird C. (1946) Encyclopedia of puzzles and pastimes. Citadel, Secaucus, NJGoogle Scholar
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  6. Singh S. (1987) Fermat’s Enigma: The epic quest to solve the world’s greatest mathematical problem. Walker and Company, New YorkGoogle Scholar

Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  1. 1.Wells Fargo BankConcordUSA

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