The first bartender states his estimate for the best drink.
The second bartender has her own estimate, but knows that the first bartender is also qualified to make a good estimation. Her estimate of the quality of the martini thus increases. She compares her earlier estimate of the quality of the gin and tonic to the updated estimate for the martini, and finds the gin and tonic to still be the better drink.
The first bartender hears this, and increases his estimate of the gin and tonic’s quality—not only does the second bartender think the gin and tonic is better, she thinks it’s better even though he recommended the martini. He compares his new estimate of the quality of the gin and tonic to his estimate of the quality of the martini and finds the martini to still be superior.
I like that a lot, but I don’t think it’s particularly corny. Also, may I suggest different wording? ‘gin and tonic’ is too long and too many syllables; it spoils the back and forth rhythm and isn’t memorable. Perhaps use 2 drinks which are both one syllable?
A rationalist walks into a bar with two bartenders. The rationalist asks “What’s the best drink to get tonight?”
The first bartender says “The martini.”
The second bartender says “The gin and tonic.”
The first bartender repeats “The martini.”
The second bartender repeats “The gin and tonic.”
The first says again “The martini.”
The second says again “The gin and tonic.”
Then the first says “The gin and tonic.”
The rationalist smiles and says, “I’m glad you could come to an agreement.”
I do not understand this one, care to explain?
The first bartender states his estimate for the best drink.
The second bartender has her own estimate, but knows that the first bartender is also qualified to make a good estimation. Her estimate of the quality of the martini thus increases. She compares her earlier estimate of the quality of the gin and tonic to the updated estimate for the martini, and finds the gin and tonic to still be the better drink.
The first bartender hears this, and increases his estimate of the gin and tonic’s quality—not only does the second bartender think the gin and tonic is better, she thinks it’s better even though he recommended the martini. He compares his new estimate of the quality of the gin and tonic to his estimate of the quality of the martini and finds the martini to still be superior.
Etc. etc. etc. (http://en.wikipedia.org/wiki/Aumann%27s_agreement_theorem).
I like that a lot, but I don’t think it’s particularly corny. Also, may I suggest different wording? ‘gin and tonic’ is too long and too many syllables; it spoils the back and forth rhythm and isn’t memorable. Perhaps use 2 drinks which are both one syllable?
Haven’t you got more iterations than is necessary for Aumann’s?
Hmm? Aumann’s theorem is about the infinite limit.
It depends on how strong each favors their own drink—see (http://www.overcomingbias.com/2007/01/the_coin_guessi.html) for an example to enhance you understanding.