The Truel
Three shooters duel in turns: A hits with probability 1/3, B with probability 2/3, and C with certainty. They fire in order A, B, C (skipping the dead), each choosing any target, until one survives. What should A do with his first shot?
Related problems & prerequisites
Worth solving first
- Solve the Matrix 5.0/10
Source: The truel, a three-way duel problem analysed in the game-theory literature by D. Marc Kilgour and Steven Brams. Statement written for AxiomIQ.