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polymathwannabe comments on Open Thread August 31 - September 6 - Less Wrong Discussion
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How about some variation on Bulls and Cows?
That seems like fertile ground for exploration, but no probability / agreement variation immediately springs to mind. Did you have something specific in mind?
Have several people try to guess the same number, with everyone able to see everyone's guesses and results.
But then everyone has the exact some information, right? I'm specifically looking for something that's like Hal Finney's game, in that the different players have different information, and communicate some different set of information (some sort of knowledge about the state of the world, like their posteriors on the joint data).