Probability puzzle about duels

Reply Fri 30 Nov, 2018 03:38 am
AnnSmith123 wrote:

The rules of this duel are rather peculiar: the duelists do not all shoot simultaneously, but instead take turns.

That's not at all peculiar. Most duelists did take turns, having them fire simultaneously is a modern invention.
0 Replies
Reply Fri 30 Nov, 2018 08:06 am
This circular duel problem is interesting as an example of a prisoner's dilemma.

If the person before you is trying to hit you, and the person after you is trying to miss... your only hope is to shoot the person after you - trying to miss in this case is suicide (since the only person shooting for real is aiming at you).

Engineer's solution of "everyone miss and go out for a beer" is the "cooperate" solution in the the classical prisoner's dilemma.

I think the question becomes whether B has enough incentive to defect.

(Thank you Engineer for playing with me... this is more fun than politics. Do you want to go for a beer?)
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Reply Mon 3 Dec, 2018 02:35 am
How did you get that numbers?
Reply Mon 3 Dec, 2018 05:53 am
I detailed all the math here.
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