Lionel » Lying + L, so Lionel’s honest brother would be True + L » Truel

 

Truel

 

Wiki: http://en.wikipedia.org/wiki/Truel. 

 

Kilgour, D. Marc, and Steven J. Brams. 1997. The truel. Mathematics Magazine 70(December):315-326.  This fine article can be downloaded at

http://www.econ.nyu.edu/cvstarr/working/1997/RR97-05.PDF.

 

F. Mosteller (1965) “Fifty Challenging Problems in Probability”, Addison-Wesley

Problem 20.    A, B, and C are to fight a three-corned pistol duel …

 

Solution.

 

The truel scene in The Good, the Bad and the Ugly is classic.  So is the accompanying music, "Il Triello" ("The Triple Duel").  In fact, Ennio Morricone’s whole score is great.  You can listen to samples from each track on Amazon and judge for yourself.