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cite="mid20040305072505.10481.79506.Mailman@geronimo.dreamhost.com">
<pre wrap="">Date: Thu, 4 Mar 2004 23:27:06 +0100 (CET)
From: =?iso-8859-1?q?Kevin=20Venzke?= <a class="moz-txt-link-rfc2396E" href="mailto:stepjak@yahoo.fr"><stepjak@yahoo.fr></a>
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<pre wrap="">Arrow's axioms could well be justifiable, but his proof doesn't provide
the justification. There may be good reasons why CR should be rejected
as a viable election method, but Arrow's premises don't elucidate those
reasons because if the theorem were generalized to encompass cardinal
methods, its conclusion would be that rank methods cannot satisfy the
axioms whereas CR can.
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<pre wrap=""><!---->
This is like saying "There may be good reasons why Random Ballot should be
rejected as a viable election method, but Arrow's premises don't elucidate
those reasons because if the theorem were generalized to encompass dictatorship
methods, its conclusion would be that non-dictatorial methods cannot satisfy
the axioms whereas Random Ballot can."
I hope it's evident why this is a strange way of speaking.
Kevin Venzke
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<br>
Kevin,<br>
<br>
It isn't evident. It is reasonable to stipulate non-dictatorship
axiomatically because this principle is non-controversial and nobody is
championing dictatorship as a viable election method. On the other
hand, if the objective of elections is to maximize "social utility",
then CR probably represents the simplest and most natural way to
measure (or at least define) social utility, and it should not be
excluded from consideration axiomatically.<br>
<br>
Ken Johnson<br>
<br>
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