Reminds me of a joke
Three logicians walk into a bar. The bartender says "what'll it be, three beers?" The first logician says "I don't know". The second logician says "I don't know". The third logician says "Yes".
Three logicians walk into a bar. The bartender says "what'll it be, three beers?" The first logician says "I don't know". The second logician says "I don't know". The third logician says "Yes".
Both of the first two logicians wanted a beer; otherwise they would know the answer was "no". The third logician recognizes this, and therefore knows the answer.
This way is logically most efficient to work and involve the least communication.
() In a lecture by the mathematician & author Sarah Hart.
Logically speaking, the second bar tender could have thought to himself "no I don't want any beer, but one of these two other guys may want to double fist" and so there is really no way for the third logician to answer in the affirmative.