There are four Alien outposts on the Planet 45468: West, North, South, and East. The populations of each outpost are as follows: West = 26, North = 42 South 17, and East = 15. The citizens are planning to build a spaceport on the Planet, but they only have enough funds to build one spaceport. Each citizen wants the spaceport to beas close to their home outpost as possible. In order to decide where to build the spaceport, the Aliens conduct a democratic election where each Alien ranks their choices of spaceport location on a ballot. Each vote is weighted equally, and Aliens living in the same outpost vote identically. The results are tabulated below. Number of Ballots Preferance 42 26 15 17 NWES WE S E E S W W S N NN 1st 2nd 3rd 4th (a) Identify the location of the spaceport if the plurality voting method is used. I (b) Identify the location of the spaceport if the plurality-with-elimination voting method (also known as the instant-runoff voting method) is used. (c) Identify the location of the spaceport if the pairwise-comparison voting method (also known as the Condorcet voting method) is used.

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Author:David Poole
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There are four Alien outposts on the Planet 45468: West, North, South, and East. The populations of each outpost are as follows: West = 26, North = 42,
South = 17, and East = 15.
The citizens are planning to build a spaceport on the Planet, but they only have enough funds to build one spaceport. Each citizen wants the spaceport to
beas close to their home outpost as possible. In order to decide where to build the spaceport, the Aliens conduct a democratic election where each Alien
ranks their choices of spaceport location on a ballot. Each vote is weighted equally, and Aliens living in the same outpost vote identically. The results are
tabulated below.
Number of Ballots
Preferance 42 26 15 17
NWES
1st
2nd
3rd
4th
WES E
SW W
N N N
VES
(a) Identify the location of the spaceport if the plurality voting method is used. I
(b) Identify the location of the spaceport if the plurality-with-elimination voting method (also known as the instant-runoff voting method) is used.
(c) Identify the location of the spaceport if the pairwise-comparison voting method (also known as the Condorcet voting method) is used.
(d) Identify the location of the spaceport if the Borda count voting method is used.
wins with
points
Transcribed Image Text:There are four Alien outposts on the Planet 45468: West, North, South, and East. The populations of each outpost are as follows: West = 26, North = 42, South = 17, and East = 15. The citizens are planning to build a spaceport on the Planet, but they only have enough funds to build one spaceport. Each citizen wants the spaceport to beas close to their home outpost as possible. In order to decide where to build the spaceport, the Aliens conduct a democratic election where each Alien ranks their choices of spaceport location on a ballot. Each vote is weighted equally, and Aliens living in the same outpost vote identically. The results are tabulated below. Number of Ballots Preferance 42 26 15 17 NWES 1st 2nd 3rd 4th WES E SW W N N N VES (a) Identify the location of the spaceport if the plurality voting method is used. I (b) Identify the location of the spaceport if the plurality-with-elimination voting method (also known as the instant-runoff voting method) is used. (c) Identify the location of the spaceport if the pairwise-comparison voting method (also known as the Condorcet voting method) is used. (d) Identify the location of the spaceport if the Borda count voting method is used. wins with points
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