# [EM] Plurality & Reguarity

MIKE OSSIPOFF nkklrp at hotmail.com
Fri Feb 1 04:36:14 PST 2002

```Dear Markus--

I'm sorry--I must have missed the part
or P&P's Regularity definition that mentioned
linear orders.

What they said was "PREFERENCES".

I CAN'T GET RID OF THE CAPITALS, BUT
WILL CONTINUE

YOU SAID THAT THEY MEAN VOTED
PREFERNCES AND THEN WHEN BLAKE
SAID THEY MEAN ABSTRACT ORDERINGS
YOU SAID THAT" WHAT THEY MEAN

THEY SAID "PREFERENCES", AND DIDN'T
QUALIIFY IT WITH SUCH WORDS AS
"LINEAR'. I DON'T KNOW WHAT A LINEAR
ORDIERING IS, UNLESS BY THAT YOU
MEAN A RANKING.

BUT REMEMBER THAT I REMINDED YOU
THAT SINCE THE PREFERENCES ON
THE BALLOT ARE THE INPUT TO THE
COUNT, THEN BALLOT PREFERENCES
THE PLURALITY  BALLOT HAS VOTED
PREFERENCES.  I'M GOING TO CAREFULLY
EXPLANI THAT TO YOU:

SAY YOU VOTE FOR GORE. BECAUSE
YOU VOTED FOR GORE AND NOT FOR
BUSH, YOUR BALLOT SHOWS A CANDIDATE
ORDERING FOR GORE OVER BUSH.

YOU'RE VERY LIBERAL, AND FAST & LOOSE
PREFERENCE MEANS. THE DEFINITION
DIDN'TSAY THAT A VOTER OR A BALOT
had to show a full set of preferences. It only
said the profile of indvidual preferences.

You said that refers to the ones that are the
input to the choice rule, and that means
, for elections, the voted candidate orderings.
All of them, in a Plurality election, consists of
all of the voted preferences on the ballots.
Tha't's unless you want to assume more
unstated meanings.

But as I said, none of this is relevant to the
matter of whether your IIAC is
Regularity.  IT  ISN"T <COMMA> BECAUSE
YOU DON"T MENTION THE PROFILEOF
INDIVIDUAL PREFERENCES<COMMA>
AND SO YOUR IIAC HAS NOTHING IN ITS
PREMISE THAT SAYS I CANT WRITE AN
EXAMPLE THAT HAS DIFFERENT CAndidate
orderings before & after thenew candidate

You still don't understand that, do you.

But maybe you pride, and honor can be
mistaken for a failure to understand a very
simple and obvious differnce  between your
IIAC  andREgularity.

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```