tut comments on Value is Fragile - Less Wrong

41 Post author: Eliezer_Yudkowsky 29 January 2009 08:46AM

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Comment author: tut 15 June 2009 06:40:22AM *  0 points [-]

Consider a program which when given the choices (A,B) outputs A. If you reset it >>and give it choices (B,C) it outputs B. If you reset it again and give it choices (C,A) it >>outputs C. The behavior of this program cannot be reproduced by a utility >>function.

That is silly - the associated utility function is the one you have just explicitly given. >To rephrase:</blockqoute>

No it isn't. It is a list of preferences. The corresponding utility function would be a function U(X) from {A,B,C} to the real numbers such that

1) U(A)>U(B) 2) U(B)>U(C) and 3) U(C)>U(A)

But only some lists of preferences can be described by utility functions, and this one can't, because 1) and 2) imply that U(A)>U(C), which contradicts 3).

Comment deleted 15 June 2009 06:42:05AM [-]
Comment author: arundelo 15 June 2009 07:05:41AM 0 points [-]

There's a help link under the box you type in. (Use > for quotes, as in email.)

See also the Markdown documentation.

Comment author: tut 15 June 2009 07:13:32AM 0 points [-]

Thank you.

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