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A university in-class assignment focused on various voting and election scenarios. Students are required to calculate the minimum number of votes needed to guarantee victory for different mascots or candidates in various voting systems, including plurality and majority. The document also explores strategic voting and different voting methods such as runoff elections and borda count.
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Purple People Eaters 106 Flying Squirrels 98 Rambling Platypi 96
(a) What is the minimum number of the remaining votes needed to guarantee that the new mascot will be the Purple People Eaters? Explain.
(b) What is the minimum number of the remaining votes needed to guarantee that the new mascot will be the Flying Squirrels? Explain.
(c) What is the minimum number of the remaining votes needed to guarantee that the new mascot will be the Rambling Platypi? Explain.
(a) If a candidate is required to have majority of the votes cast to be considered the winner, what is the minimum number of votes needed to win? Explain.
(b) If a candidate is needs a plurality of the votes cast to be considered the winner, what is the minimum number of votes a winning candidate can have and still win the election? Explain.
Number of Voters 10 8 9 4 14 6 11 13 Adkins 1 1 3 2 2 3 2 2 Blythe 2 4 1 1 3 2 3 4 Cassidy 3 2 4 3 1 1 4 3 Dearborn 4 3 2 4 4 4 1 1
(a) Which candidate wins a plurality election?
(b) Which candidate wins a plurality election with a runo§ between the top two Önishers?
(c) Which candidate wins a plurality election with a runo§ between the top three Önishers, and then a runo§ between the top two Önishers of the Örst runo§?
(d) In a plurality election, could those who ranked Adkins as their top candidate have achieved a preferable outcome by voting strategically if the others voted as shown in the table? Explain.
(e) In a plurality election with a runo§ between the top two Önishers, could those who ranked Blythe Örst and Dearborn second have achieved a preferable outcome by voting strategically if the others voted as shown in the table? Explain.