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Game of the truel

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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.

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References

  • 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): 185–202

    Article  Google Scholar 

  • Ferguson, T. S. (n.d.). Choice of weapons for the truel. Mimeograph. http://www.math.ucla.edu/~tom/papers/unpublished/truel.pdf.

  • Kilgour D. M., Brams J. (1997) The truel. Mathematics Magazine 70(5): 315–326

    Article  Google Scholar 

  • Kinnaird C. (1946) Encyclopedia of puzzles and pastimes. Citadel, Secaucus, NJ

    Google Scholar 

  • Larson H. D., Moser L. (1948) A dart game. American Mathematical Monthly 55(10): 640–641

    Article  Google Scholar 

  • Singh S. (1987) Fermat’s Enigma: The epic quest to solve the world’s greatest mathematical problem. Walker and Company, New York

    Google Scholar 

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Correspondence to Xiaopeng Xu.

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Xu, X. Game of the truel. Synthese 185 (Suppl 1), 19–25 (2012). https://doi.org/10.1007/s11229-011-9956-y

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  • DOI: https://doi.org/10.1007/s11229-011-9956-y

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