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By Donald G. Saari

This hugely obtainable booklet deals undergraduates and execs a brand new, varied interpretation and backbone of Arrow's and Sen's theorems. utilizing easy arithmetic, it exhibits that those unfavorable conclusions come up simply because, in each one case, a few of their assumptions negate different an important assumptions. as soon as this is often understood, not just do the conclusions develop into anticipated, yet a large category of different phenomena can be expected. those comprise inter alia legislative cycles, provide and insist economics, statistical paradoxes, and various voting/election paradoxes.

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Hurt are those who are attempting to introduce change or to make a political point. Nader wanted to win 5% of the vote in the 2000 election to qualify his party for federal funds in the 2004 election. But, his final tally failed to reflect his true support; because of the close race between Al Gore and George Bush, many of Nader's supporters publicly announced they would vote for one of the two major candidates. When John B. " most surely eroded the level of their actual support. 7% of the vote.

In the early 1990s, when the city of Evanston, Illinois, changed their election procedure from a straightforward plurality election to a runoff method, all arguments I heard focused on why one procedure is better than the other — there was no discussion about whether an "optimal" method exists. This impulsive reaction, which is hazardous when choosing personal consumer products, is even more dangerous when selecting a voting method. After all, the choice of a decision procedure has a stronger, longer lasting impact on our lives (through its election of a president, congress, and economic policy) than a purchase of a house, car, or refrigerator.

1 Is the plurality vote broke? While this advice sounds reasonable, maybe we should check whether the plurality vote is, or is not, broken. To do so, consider the following thirty voter example involving candidates Ann, Barb, Candy, and Deanna. To repeat the notation, recall that ABCD represents where a voter prefers Ann, then Barb, next Candy, and finally Deanna; only the first letter of each name is used. 1) For convenience, I arranged these preferences to first list the voters who prefer Ann, then those preferring Barb, and so forth.

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