Quote:
Originally Posted by housenuts
so what you're saying is the jailers would know the 3 prisoners are all pure logicians and would guess the opposite color if they saw the other two prisoners were wearing the same colored hat, therefore they would give all 3 prisoners the same colored hat and all 3 would simultaneously guess incorrectly.
I see 3 options:
1) Randomized.
2) Human choice with no agenda.
3) Intelligent choice to try to keep as many people in jail as possible to ensure job security, which would lead to a Nash issue.
But yes, that would be the clear counter by the jailers if that was their goal & the prisoners thought it was random, even if they weren't logicians because the natural 1st thought is yours is the opposite even without knowing why.