MrHen comments on Open Thread: March 2010 - Less Wrong
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I have two basic questions that I am confused about. This is probably a good place to ask them.
What probability should you assign as a Bayesian to the answer of a yes/no question being yes if you have absolutely no clue about what the answer should be? For example, let's say you are suddenly sent to the planet Progsta and a Sillpruk comes and asks you whether the game of Doldun will be won by the team Strigli.
Consider the following very interesting game. You have been given a person who will respond to all your yes/no questions by assigning a probability to 'yes' and a probability to 'no'. What's the smallest sequence of questions you can ask him to decide for sure that a) he is not a rationalist, b) he is not a Bayesian?
This is somewhat similar to the question I asked in Reacting to Inadequate Data. It was hit with a -3 rating though... so apparently it wasn't too useful.
The consensus of the comments was that the correct answer is .5.
Also of note is Bead Jar Guesses and its sequel.