Eliezer,
Any entity not logically omniscient can be trivially bilked by a logically omniscient bookie, because the non-logically-omniscient player assigns positive probabilities to events that are logically impossible.
I wonder how a logically-omniscient player might be defined. Will you please explain your meaning?
I don't see that agents need to be logically omniscient to avoid being bilked by omniscient bookies. They need only be careful to be coherent in the De Finetti sense. This is not an especially problematic constraint.
-gts ----- This list is sponsored by AGIRI: http://www.agiri.org/email To unsubscribe or change your options, please go to: http://v2.listbox.com/member/?list_id=303
