adsenanim comments on Mixed strategy Nash equilibrium - Less Wrong
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Please have a look at this. Corax. Its is quite similar to the game that you have mentioned.
http://lumiere.ens.fr/~alphapsy/blog/?2006/10/11/84-coraxed
I would take the basic premise to be that we are trying the "guilty party" with the idea of "reasonable doubt".
I'm ok with "Agatha Christy" to the limit of fictional argument, but one would have to give a stronger argument than the "Corax" to find a plausible definition to a physical phenomena. After all, the whole point is to understand.