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Perplexed comments on What can you do with an Unfriendly AI? - Less Wrong
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As I understand it, the genie is not incentivized to honest. It is incentivized to not get caught being dishonest. And the reason for the roundabout way of asking the question is to make the answer-channel bandwidth as narrow as possible.
It is impossible to be dishonest by saying "yes," by construction. The genie is incentivized to say "yes' whenever possible, so it is disincentivized to be dishonest by saying "no." So the genie is incentivized to be honest, not just to avoid being called out for dishonesty.
Since we care about the genie actually being honest, the technique can be thought about as a way of making it more likely that the genie is honest, with the threat of punishing dishonestly a component of that technique.