Tap writes:
"Alternative Possibilities for Voting Procedure"
Scientific American
"Has there been any progress in developing fairer ways for people to vote in elections? I recall reading some time back about a system in which people would get one vote per candidate, not transferable between candidates; such a system was said to be fairer overall than one vote per voter." — Vitols, Anaheim Hills, Calif.
Donald G. Saari from the department of mathematics at Northwestern University in Evanston, Ill., gives this overview of voting behavior:
"After two centuries of efforts by mathematicians and political scientists, positive results about 'fair voting procedures' are emerging. This is important because 'fairness' can be a casualty when current methods are used in multiple-candidate elections--such as this year's presidential campaign.
To illustrate, suppose that 200 voters prefer Alice to Candy to Becky (denoted by Alice > Candy > Becky), 195 prefer Becky > Candy > Alice, whereas only 20 prefer Candy > Becky > Alice. The plurality election outcome, where we vote for our top-ranked candidate, is Alice > Becky > Candy with a 200:195:20 tally. While we might worry whether these voters prefer Alice or Becky, Candy's feeble support suggests that she is of no interest to these voters.
"This assertion, however, is false. If we compare candidates in pairs, it becomes arguable that Candy is their favorite. These voters prefer Candy to Alice (215 to 200), Candy to Becky (220 to 195), and Becky to Alice (215 to 200); these rankings suggest that these voters actually prefer Candy > Becky > Alice. Notice how this outcome conflicts with and reverses the plurality ranking. Moreover, it shows that Candy's lack of votes more accurately manifests inadequacies of our commonly used election procedure rather than voter disinterest. The example also shows that, inadvertently, we can choose badly.