On Jun 23, 2008, at 2:28 , Kathy Dopp wrote:

Although Chris' voters changed their vote they didn't change their
opinions between the elections. If there are new candidates they may be better than the old ones

Juho,  In Chris' approval example, voters changed their approval votes
for the existing candidates, not simply added approvals for new
candidates.

Here's one explanation to why this happened.

Let's assume that our voter has fixed preferences of A=543, B=123, C=99. The election method is either Range with values from 0 to 10 or Approval.

If the election has two candidates, B and C, the voter might vote in Range B=10, C=0 and in Approval B=1, C=0. We can assume that the voter will normalize the vote and rank one of the candidates at 10 (or 1 in Approval) and one at 0.

If the election has three candidates the voter might vote in Range A=10, B=1, C=0. Or if A and B are the strongest candidates then maybe strategically A=10, B=0, C=0. In Approval the voter might vote A=1, B=0, C=0. Or if B and C are the strongest candidates then maybe A=1, B=1, C=0.

The sincere opinions/utilities A=543, B=123, C=99 were valid in all the cases but typical voter behaviour in Range and Approval was to normalize the vote and maybe to vote strategically depending on who the strongest candidates are. The ratings given to the candidates varied although the opinions/utilities stayed the same all the time.

This changing behaviour may sometimes lead to one of the candidates being a spoiler.

The temperature outside my house is 90+ degrees today and inside my
house is 68 degrees downstairs and 74 degrees upstairs at 5:20 p.m and
this is the hottest it will get inside my house today. Yet I have no
air conditioner, no fan, no swamp cooler, etc.  These same
temperatures (roughly) exist inside and outside my house during the
entire summer.

How do I keep my house under 68 degrees inside (downstairs) and under
74 degrees (upstairs) all summer with no air conditioner or swamp
cooler when it is routinely in the 90s outside?

A large cellar or other heat/cold storage capabilities would help. Maybe also modern windows, isolation and cool nights.

Juho




                
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