[EM] Divided Majorities - Number Votes Matrix - Left Vote Shifts

DNOW1 at aol.com DNOW1 at aol.com
Mon Sep 17 20:35:54 PDT 2012

Divided Majorities - Number Votes Matrix - Left Vote Shifts

Divided Majorities
Standard divided majority problem -

A, B and Z

26 ABZ
25 BAZ
49 Z??

Is A or B the lesser of evils for some Z voters ???

With more choices, both the majority and minority will likely be even more 
Number Votes Matrix - Left Vote Shifts

Each voter has N-1 numbered nominal *YES* votes for N choices.

Total the YES votes for each choice.

The votes for each loser get shifted left.

Repeat until the number to be elected remain.

Example - 10 candidates, elect 1
9-8-7-6-5-4-3-2-1 = 9 elimination rounds with vote shifts left.

For legislative body elections the 2 or more winners would have a voting 
power each equal to the final votes each received - i.e. to have P.R.
Example - 12 candidates, elect 5
11-10-9-8-7-6 = 6 elimination rounds

Default - unranked choices would be in last place.
Related matter - majority votes for filling number blanks.

Percent of GDP for taxes --
0 to 100 percent in 1 percent units.
Each legislator/voter picks a percentage
Report the votes per percentage.
Accumulate from 100 downward to get a bare majority of the total votes.

i.e. NO endless amendments about filling number blanks.
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