army1987 comments on Secrets of the eliminati - Less Wrong
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You have failed to disagree with me. My proposal exactly fits your alleged counterexample.
Suppose Alice is a utility monster where:
And Bob is normal, except he doesn't like Alice:
If the FAI has a cookie it can give to Bob or Alice, it will give it to Alice, since U(cookie to Bob) = U(Bob, everything) + U(Alice, everything but a cookie) = 1 + 0.1 = 1.1 < U(cookie to Alice) = U(Bob, everything but a cookie) + U(Alice, everything) = 0.8 + 1 = 1.8. Thus Alice gets her intended reward for being a utility monster.
However, if the are no cookies available and the FAI can kill Alice, it will do so for the benefit of Bob, since U(Bob, Alice lives, no cookie) + U(Alice, Alice lives, no cookie) = 0.8 + 0.1 = 0.9 < U(Bob, Alice dies, no cookie) + U(Alice, Alice dies) = 0.9 + 0.05 = 0.95. The basic problem is that since Alice had the cookie fixation, that ate up so much of her utility range that her desire to live in the absence of the cookie was outweighed by Bob finding her irritating.
Another problem with Alice's utility is that it supports the FAI doing lotteries that Alice would apparently prefer but a normal person would not. For example, assuming the outcome for Bob does not change, the FAI should prefer 50% Alice dies + 50% Alice gets a cookie (adds to 0.525) over 100% Alice lives without a cookie (which is 0.1). This is a different issue from interpersonal utility comparison.
They are numbers. Add them.
Yes. So far as I can tell, if the FAI is going to do what people want, it has to model people as though they want something, and that means ascribing utility functions to them. Better alternatives are welcome. Giving up because it's a hard problem is not welcome.
No. If Alice has high status and Bob has low status, and the FAI takes action to lower Alice's status and raise Bob's, and people hate losing, then Alice's utility decrease will exceed Bob's utility increase, so the FAI will prefer to leave the status as it is. Similarly, the FAI isn't going to want to increase Alice's status at the expense of Bob. The FAI just won't get involved in the status battles.
I have not found this conversation rewarding. Unless there's an obvious improvement in the quality of your arguments, I'll drop out.
Edit: Fixed the math on the FAI-kills-Alice scenario. Vaniver continued to change the topic with every turn, so I won't be continuing the conversation.
So are the atmospheric pressure in my room and the price of silver. But you cannot add them together (unless you have a conversion factor from millibars to dollars per ounce).
Your analogy is invalid, and in general analogy is a poor substitute for a rational argument. In the thread you're replying to, I proposed a scheme for getting Alice's utility to be commensurate with Bob's so they can be added. It makes sense to argue that the scheme doesn't work, but it doesn't make sense to pretend it does not exist.