[EM] The None of the Above Chorus:

[Forest Simmons]

It seems to me that in Approval there is no need for None of the Above,
because of the natural quota of 50% approval; if nobody meets the quota,
then None of the Above wins.

In Proportional Approval for seven vacant positions, the natural quota is
100%/8 or 12.5%.  If only three of, say 29 candidates make the quota, then
only three of the seven positions can be filled.  A new election is
required to fill the other four positions. 

To what extent can other methods make such natural use of quotas in
place of  None of the Above candidates?

Forest