Mr. Simmons wrote--

When the only information available is simple preference, then majority
rule would be the only democratic choice. But that's not the context of
the posting to which Demorep replied below.

Suppose that you know strength of preferences:

51 A > B >> C
49 B > C >> A

The majority choice is A.

The Approval choice is B with 100% approval.
---
D- I note that the example has 51 A > B, NOT 51 A = B.

The example could also be ---

2 A > B >> C
1 B > C >> A

Is 2 still more than 1 ??? 

Or has a new age of Alice in Wonderland math happened that I have not heard 
about ???

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