A Solution to The Difficulties of Multi-Voting…
The beauty of ConCensus™ is simply that it reduces all variables and what-ifs and rankings of importance into simple 2-way races. Consciously and sub-consciously we can and do make decisions between two items relatively quickly and with a feeling of finality, automatically taking into account all of the known and unknown influences to each pair-decision.
An article released by the University of California in San Diego (1998), "Chaos at the Polls: Mathematicians Prove that Group Decisions Can Be Impossible To Predict", indicates:
"Meyer and Brown proved through a mathematical model that if the group's options are presented in different orders — even when their preferences are fixed — the result will become unpredictable, even 'chaotic'."
But with ConCensus™, the order is irrelevant since all factors are compared only two at a time.
This resulted in the following matrix:
Number of Delegates
T=Tsongas; C=Clinton; B=Brown; K=Kerrey; H=Harkin.
He goes on to show how every single candidate was able to mathematically justify his case for being a winner!
"Tsongas supporters stolidly argued that the plurality method, whereby the candidate with the most first-place votes wins, should be used. With this method and eighteen first-place votes, Tsongas wins easily.
"At the end of a very short time, a solution we can live with is clearly apparent."
"Ever alert for a comeback, Clinton supporters argued that there should be a runoff between the two candidates receiving the most first-place votes. Clinton handily beats Tsongas in such a runoff (18 prefer Tsongas to Clinton, but 37 prefer Clinton to Tsongas).
"Brown's people suggested that the candidate with the fewest first-place votes (Harkin) should be eliminated first; then the first-place votes for the others should be adjusted. This process continues by removing at each stage the one with the fewest first-place votes. Brown ends up the winner.
"Kerrey's campaign manager remonstrated that more attention should be paid to overall rankings... First-place = 5 points, Second-place = 4 points, etc. Kerrey's count of 191 is higher than anybody else so he wins.
"Finally, Harkin, being a more macho sort, responded that only man-to-man contests should count and that, pit against any of the other four candidates in a two-person race, he comes out the winner (he beats Kerrey 28-27 and Clinton 33-22)."
When we converted the figures in the table as if our own ConCensus™ System were being used, always selecting between only two candidates at a time, it resulted in the following order of prioritization:
Lo and behold, at the end of a very short time period during which all such pairs are compared, a solution we can live with (individually and as a group) is clearly apparent.