[EM] A?B versus A=B
Jobst Heitzig
heitzig-j at web.de
Tue Aug 30 03:13:10 PDT 2005
Warren,
you wrote:
>
> I regard A=B as a declaration of knowledge on the part of the voter.
> he is saying "I understand A and B and I think they have the same utility."
>
> I regard A?B as a declaration of ignorance from the voter. he is saying
> "I do not know whether A>B or B>A, I really am clueless on this matter."
That's what I said. Only O would of course not speak of "ignorance" but "undecidedness".
> In a voting system in which PARTIAL ORDERS are permitted as votes,
> then A>B is permitted, A=B is permitted (if we permit =),
Partial orders are antisymmetric, so they allow A=B only if A and B are identical. You're talking about quasi-orders, I guess.
Yours, Jobst
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