---------- Forwarded message ---------
From: Michael Ossipoff email9648742@gmail.com
Date: Wed, Apr 3, 2024 at 13:21
Subject: Re: [EM] Is autodeterrence bad? (+STAR fails hyperchicken
catastrophically)
To: Closed Limelike Curves closed.limelike.curves@gmail.com
I meant the Voting Theory Forum.
On Wed, Apr 3, 2024 at 13:13 Michael Ossipoff email9648742@gmail.com
wrote:
That post is thoroughly bizarre:
Autodeterence is defined as a property for Condorcet methods, & Closed
thinks he’s somehow discrediting it by telling about a STAR situation.
We’re getting leakage & spillover from the Voting Science Forum.
On Wed, Apr 3, 2024 at 11:09 Closed Limelike Curves <
closed.limelike.curves@gmail.com> wrote:
I think the EM mailing list made a wrong turn a while back in
misunderstanding "autodeterrence" as a positive attribute of a voting
system, which discourages burial. I'd like to put forth an argument (which
I'm still somewhat hesitant about) that it's a very bad property.
Given the chance, political machines are likely to reach out and grab this
third rail as hard as they can, even if it's terrible for their
constituents, because it maximizes their chances of election.
Start with a 2.5-candidate race between Gore, Bush, and a Nazi (who has a
small, but slightly above zero, level of support). Gore doesn't know
whether he or Bush is more popular in a runoff, but he's certain he and
Bush will make it to the runoff with honest voting. However, he realizes he
can use the Nazi as a bludgeon to increase his chances of winning. He tells
his supporters to cast votes as follows:
Gore – 5/5
Bush – 0/5
Nazi – 4/5
Gore's hope is that the Nazi is polarizing enough to defeat Bush for
second place with Gore's support (at which point he's a weak candidate in
the runoff). Risky? Yes. But it's still plausibly strategic if you think
Bush will back down.
But if Bush's faction thinks the same thing, the Nazi ends up winning.
STAR punishes burial by blowing up the country, creating an extremely
high-stakes game of chicken (hyperchicken?). This game has a mixed Nash
equilibrium that involves blowing up the country with some small (but
positive) probability. The issue isn't that burial is incentivized; it's
that it can work, but when it fails, it's so strongly disincentivized
that it can be catastrophic.
This can be especially bad since incentives are even stronger for
candidates and campaigns. Campaigns coordinate strategy; voters take cues
from campaigns and political elites (which is why the two major-party
nominees are always the top-2 winners).
The strategy above would be bad for society, and ambiguous for individual
voters (it could elect either Gore or a Nazi). On the other hand, great for
Gore's probability of winning, if Gore
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