<html>
<head>
<meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
</head>
<body>
This seems very interesting. If I understand it correctly, Daniel is
saying that when a voting method can be subverted by tactical voting
in such a way that candidate c is elected in place of the rightful
winner w, the subversion can nearly always be accomplished if all
voters who prefer c to w simultaneously compromise on c and bury w.
<br>
I'm surprised that "false cycles" don't come into it. Should I
conclude that artificially placing a candidate second hardly ever
achieves anything not achieved by compromising and burial?<br>
CJC<br>
<br>
<div class="moz-cite-prefix">On 15/01/2022 05:32, Daniel Carrera
wrote:<br>
</div>
<blockquote type="cite"
cite="mid:CAEaabNi=JsEzE6ko5z+SBmMODXxMYBWPorzk1qHWmPhW0vRz-w@mail.gmail.com">
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<div dir="ltr">
<div dir="ltr">
<div class="gmail_default" style="font-family:trebuchet
ms,sans-serif;font-size:small"><span
style="font-family:Arial,Helvetica,sans-serif">On Fri, Jan
14, 2022 at 6:33 AM Kristofer Munsterhjelm <<a
href="mailto:km_elmet@t-online.de"
moz-do-not-send="true">km_elmet@t-online.de</a>>
wrote:</span><br>
</div>
</div>
<div class="gmail_quote">
<blockquote class="gmail_quote" style="margin:0px 0px 0px
0.8ex;border-left:1px solid
rgb(204,204,204);padding-left:1ex">E.g. Smith//Plurality (Or
Smith,Plurality) from the extremely easy to<br>
manipulate category, and Minmax from the
intermediate-to-high one.<br>
</blockquote>
</div>
<div><br>
</div>
<div>
<div class="gmail_default" style="font-family:"trebuchet
ms",sans-serif;font-size:small">I forgot you
specifically asked about Smith//Plurality. I'm not familiar
with the '//' notation but I'm going to guess that the rule
is "find the Smith set and then find the plurality winner
within that". If so, then that method is like Minimax in
that it is less skewed toward the simplest strategies:</div>
<div class="gmail_default" style="font-family:"trebuchet
ms",sans-serif;font-size:small"><br>
</div>
<div class="gmail_default" style="font-family:"trebuchet
ms",sans-serif;font-size:small">Smith//Plurality</div>
<div class="gmail_default" style="font-family:"trebuchet
ms",sans-serif;font-size:small">- 59% susceptible</div>
<div class="gmail_default" style="font-family:"trebuchet
ms",sans-serif;font-size:small">- 89% of successful
strategies are the trivial one</div>
<div class="gmail_default" style="font-family:"trebuchet
ms",sans-serif;font-size:small">- 79% of the
non-trivial strategies are the "reverse" strategy and 21%
are the JGA-style search.<br>
</div>
<div class="gmail_default" style="font-family:"trebuchet
ms",sans-serif;font-size:small"><br>
</div>
</div>
<div>
<div class="gmail_default" style="font-family:"trebuchet
ms",sans-serif;font-size:small">Minimax</div>
<div class="gmail_default" style="font-family:"trebuchet
ms",sans-serif">- 41% susceptible</div>
<div class="gmail_default" style="font-family:"trebuchet
ms",sans-serif">- 90% of successful strategies are the
trivial one</div>
<div class="gmail_default" style="font-family:"trebuchet
ms",sans-serif">- 77% of the non-trivial strategies are
the "reverse" strategy and 23% are the JGA-style search.<br>
</div>
<div>
<div class="gmail_default"
style="font-family:"trebuchet ms",sans-serif"><br>
</div>
</div>
<div class="gmail_default" style="font-family:"trebuchet
ms",sans-serif">
<div class="gmail_default">Hare</div>
<div class="gmail_default">- 6.9% susceptible</div>
<div class="gmail_default">- 100% of successful strategies
are the trivial one</div>
<div class="gmail_default"><br>
</div>
</div>
<div>
<div class="gmail_default"
style="font-family:"trebuchet ms",sans-serif">Benham</div>
<div class="gmail_default"
style="font-family:"trebuchet ms",sans-serif">-
4.8% susceptible</div>
<div class="gmail_default"
style="font-family:"trebuchet ms",sans-serif">-
98% of successful strategies are the trivial one</div>
<div class="gmail_default"
style="font-family:"trebuchet ms",sans-serif">-
90% of the non-trivial strategies are the "reverse"
strategy and 23% are the JGA-style search.<br>
</div>
</div>
<div class="gmail_default" style="font-family:"trebuchet
ms",sans-serif;font-size:small"><br>
</div>
</div>
<div class="gmail_default" style="font-family:"trebuchet
ms",sans-serif;font-size:small">And I should have
realized that for "Plurality" it is trivially true that 100%
of successful strategies are trivial since only the first
choice on the ballot matters.</div>
<div class="gmail_default" style="font-family:"trebuchet
ms",sans-serif;font-size:small"><br>
</div>
<div class="gmail_default" style="font-family:"trebuchet
ms",sans-serif;font-size:small">Cheers,</div>
-- <br>
<div dir="ltr" class="gmail_signature">
<div dir="ltr">
<div>
<div dir="ltr">
<div dir="ltr">
<div dir="ltr">
<div dir="ltr">
<div dir="ltr">
<div dir="ltr">
<div dir="ltr"><font face="trebuchet ms,
sans-serif">Dr. Daniel Carrera</font></div>
<div dir="ltr"><font face="trebuchet ms,
sans-serif">Postdoctoral Research
Associate</font></div>
<div><font face="trebuchet ms, sans-serif">Iowa
State University</font></div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<br>
<fieldset class="mimeAttachmentHeader"></fieldset>
<pre class="moz-quote-pre" wrap="">----
Election-Methods mailing list - see <a class="moz-txt-link-freetext" href="https://electorama.com/em">https://electorama.com/em</a> for list info
</pre>
</blockquote>
<br>
</body>
</html>