I wrote ...

Ratings are a convenient way of providing for equal rankings and keeping the
ballots from becoming too unwieldy when there are large numbers of
candidates, as in a big election without primaries.

Mike replied:

But how is ratings more convenient than rankings? As long as the voters
understand that they can give the same rank number to as many as they want
to, and that rank numbers needn't be consecutive?

I reply:
 
Yes, as long as the rank numbers don't have to be consecutive.   In that case 
ratings and rankings are equally easy to construct since either can be directly 
inferred from the other.  If N is the maximum used rank, then the rating of a 
candidate is N minus the ranking of the candidate, and the ranking of the 
candidate is N minus the rating of the candidate, as long as the ratings allow 
sufficiently many slots.
 
The main reason to limit the number of slots is to keep the ballot from 
becoming too unwieldy.
 
Ranked ballot proposals will have to limit the number of allowed ranks for the 
same reason.
 
Since the two methods are equivalent (given the freedom of skipping ranks) why 
not go for the more intuitive rating approach, where low numbers correspond to 
low rates, or the familiar letter grading (with +/- allowed)? 
 
Other than that, another (more interesting) reason to limit the number of slots 
further (to three) is to mitigate the clone dependence problem of MDD methods:  
when a clone cycle is forced to share three slots with the other candidates, a 
true clone cycle will be crowed into occupying two slots per ballot.  In that 
case, not all members of the cycle can be majority defeated by another member 
of that cycle.
 
Forest

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