[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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