mgf1107lecture2

# mgf1107lecture2 - MGF 1107 EXPLORATIONS IN MATHEMATICS...

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MGF 1107 – EXPLORATIONS IN MATHEMATICS LECTURE 2 iii) The Plurality with Elimination Method This method may involve a series of elections rather than just one. If a candidate initially receives a majority of the votes then that candidate is declared the winner. However if no candidate receives a majority of the votes, the candidate with the least number of (first-place) votes is eliminated and a second election is held. This process continues until a candidate receives a majority of the votes. The venue for the Olympics is decided using this method. One of the disadvantages of this method is the possible need for more than one election. One way to limit this is to have a run-off election between the top two candidates if no one gains a majority during the first election. Another way to avoid multiple elections is to have voters rank their preferences just as they did in the Borda count method, and assume that after a candidate has been eliminated that the order or preference is preserved. So if a voter’s original ranking was Miami, Florida State, and

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## This note was uploaded on 09/22/2011 for the course MAC 2311 taught by Professor Evinson during the Spring '08 term at University of Central Florida.

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mgf1107lecture2 - MGF 1107 EXPLORATIONS IN MATHEMATICS...

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