Responding as usual to Mr. Ossipoff---
Approval has the elementary defect of permitting a *real* first choice
majority winner to lose (if *real* rankings were being used) ---
Sincere
51 A (100) B (99)
3 B (100)
46 C (100)
100
B wins (54) using simple Approval even though A has a *real* first choice
majority.
Even with such rather elementary defect Approval is OK for executive and
judicial office elections -- the most popular candidate(s) would be elected
to such offices.
Thus Approval might be deemed a transition method under Condorcet utopia
arrives -- though I note that almost any p.r. method for legislative body
electiions will use rankings so that rankings will come shortly for executive
and judicial office elections also.