[EM] Re: Utilities?
Stephane Rouillon
stephane.rouillon at sympatico.ca
Thu Sep 9 06:29:19 PDT 2004
Maybe I am wrong, the two diagram sets I saw are not "equivalent" in my
eye.
Can someone provide a better term than "equivalent"...
It's OK for the right ones, but not for the left ones.
(A=C) > B and (A=C) > D is "equivalent" to (A=C) > (B=D)
A > B and C > D is not "equivalent" to A > B, A > D, C > B and C > D
because first case allows A>B>C>D and second does not.
Did I miss something?
The last classification seems to miss the disjoint cases of undecidness,
maybe it should be a third class.
Steph
Steve Eppley a écrit :
> The> difference shows up easily in the Hasse diagrams > of the
> corresponding preference quasi-orders:> > undecidedness:
> equivalence:> A C A=C> | | / \> | |
> / \> B D B D>
>
>
>
>
> So, to avoid confusing the issues when studying the difference
> between undecidedeness and equivalence on voter behavior, I think
> weshould prefer an example such as this: undecidedness
> equivalence A C A=C |\ /| |
> | \/ | | | /\ | | |/
> \| | B D B=D
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