[EM] Mono-add-top method suggestion
Chris Benham
cbenhamau at yahoo.com.au
Sat Aug 9 22:44:18 PDT 2025
I think if there was an informed honest debate on the relative merits
(for public political elections) of Hare versus one of the best
Condorcet methods I think Hare's compliance with Mono-add-Top would be a
big point for it.
MinMax Margins is a Condorcet method that meets Mono-add-Top, but pays
too heavy a price for that to qualify as a good Condorcet method. Hare
meets Mono-add-Top and so does Approval.
This is my (not too fanciful thought experiment) idea for a method that
meets Mono-add-Top and is more Condorcet efficient than Hare (but more
complicated) using ranked ballots with explicit approval cutoffs:
*Elect whichever of the Hare winner and the MinMax Margins winner is
more approved.*
Unfortunately as well as failing Condorcet I am sure it also fails
Double Defeat (meaning a candidate pairwise beaten by a more approved
candidate might win), but a candidate that is both the CW and the AW
always wins.
There is no zero-info voter incentive to truncate or to do anything
(aside from the approval cutoff) other than give a full sincere
ranking. If MMM tries to flout the Plurality criterion I can't see any
way that the Hare winner won't be more approved.
Chris
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