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The no information is passing argument in the infinite case is wrong. After all, they all agree on a strategy, which is information they share.
by auggierose 12y ago
The no information is passing argument in the infinite case is wrong. After all, they all agree on a strategy, which is information they share.
- j2kun 12y agoThe author means: they do not communicate after the game begins (except in people seeing the hats of those after them in line).
- auggierose 12y agoI know what the author means. He is basing his intuition on this. Which is wrong, because they DO share information, as strategy is played out DURING the game, although it has been agreed upon beforehand.
- j2kun 12y agoIf they "pass" information, then that means that if player B is after player A in line, then player B somehow gets information about the color of player A's hat. But this is demonstrably false, for the two equivalence classes are the same regardless of whether player A's hat changes colors. I.e. information is not passed during the game from one player to another. This is different than sharing information ahead of time, and is unrelated to the author's intuition (which is confounded by the fact that the strategy is not measurable).
- deleted 12y ago[deleted]
- gcr 12y agoBut that kind of information isn't information about that particular configuration of prisoners. That's the kind of information the author is talking about.