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<a class="moz-txt-link-freetext" href="http://wiki.electorama.com/wiki/Majority_Choice_Approval#Criteria_compliance">http://wiki.electorama.com/wiki/Majority_Choice_Approval#Criteria_compliance</a><br>
<br>
<blockquote type="cite">The <a title="Later-no-help criterion"
href="/wiki/Later-no-help_criterion">Later-no-help criterion</a> and
the <a title="Favorite Betrayal criterion"
href="/wiki/Favorite_Betrayal_criterion">Favorite Betrayal criterion</a>
are satisfied by MCA-P</blockquote>
<br>
They are also met by "MCA-A", "MCA-M" and "MCA-S".<br>
<br>
I consider it desirable that methods should have Later-no-Harm and
Later-no-Help in at<br>
least approximate probabilistic balance. These methods all (badly) fail
Later-no-Harm, so meeting <br>
LNHelp contributes to the strong truncation incentive.<br>
<br>
<blockquote type="cite">They're also satisfied by MCA-AR if MCA-P is
used to pick the two finalists</blockquote>
<br>
That method does not meet the Favourite Betrayal criterion.<br>
<br>
25: A<br>
24: A>C<br>
02: B>A<br>
22: B<br>
25: C>B<br>
02: C=B (sincere is C>B)<br>
<br>
No candidates' TR (or "P") score reaches the majority threshold of 51
and all their Approval<br>
scores exceed it, so a resolution method is needed. <br>
<br>
Of the candidates that reached a majority score, I gather the method
selects the two with the<br>
highest TR scores for a runoff.<br>
<br>
TR scores: A49, B26, C27.<br>
<br>
The method selects A and C for the runoff, which A wins 51-27.<br>
<br>
If the 2 C=B voters vote sincerely C>B the result is the same.<br>
<br>
But if they change to B>C the TR scores change to A49, B26, C25
and the method<br>
then selects A and B for the runoff which B wins 51-49, a result those
two voters prefer.<br>
<br>
25: A<br>
24: A>C<br>
02: B>A<br>
22: B<br>
25: C>B<br>
02: B>C (was C=B, sincere is C>B)<br>
<br>
<br>
Chris Benham<br>
<br>
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<br>
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