In a truel where the choices are sequential, what is the optimal strategy for the first player?
A) fire at another player
B) fire at himself
C) do not fire

Question

Quizplus · Accepted Answer

In a sequential truel, the first player only has the option to fire at one of the other two players. However, it is not optimal to do so because it alerts the third player that they are now in danger and they can focus their fire on the first player. Additionally, if the first player misses their shot, they are now at a disadvantage. Firing at oneself is also not optimal as it reduces the chance of winning to 0. Therefore, the best choice is to not fire and hope that the other two players eliminate each other, giving the first player a higher chance of winning.

In a Truel Where the Choices Are Sequential, What Is