Alex, Clancy, and Hubert are brothers who are trying to decide how much money each should contribute to a present for th
Posted: Sun May 08, 2022 9:26 am
Alex, Clancy, and Hubert are brothers who are trying to decide
how much money each should contribute to a present for their
parents.
Suppose the three brothers vote on spending either $0, $25, or
$55 on the gift using the Borda count system of voting. That is,
each brother awards three points to his first choice, two points to
his second choice, and one point to his third choice.
Complete the following table by indicating the number of points
each brother awards to each option and then summing the scores of
each option to obtain a final ranking.
Borda Count For Spending...
$55
$25
$0
Under a system of Borda count, the winning option is
________ .
If, instead, the brothers were to hold a two-phase election
(such that they first voted between two options, then voted between
the winner of that contest and the final option), the winner would
be __________ . (Hint: Determine the outcome if the
roommates first voted between $55 and $0, and then voted between
the winner of that contest and $25.)
The median voter in this situation is _________
how much money each should contribute to a present for their
parents.
Suppose the three brothers vote on spending either $0, $25, or
$55 on the gift using the Borda count system of voting. That is,
each brother awards three points to his first choice, two points to
his second choice, and one point to his third choice.
Complete the following table by indicating the number of points
each brother awards to each option and then summing the scores of
each option to obtain a final ranking.
Borda Count For Spending...
$55
$25
$0
Under a system of Borda count, the winning option is
________ .
If, instead, the brothers were to hold a two-phase election
(such that they first voted between two options, then voted between
the winner of that contest and the final option), the winner would
be __________ . (Hint: Determine the outcome if the
roommates first voted between $55 and $0, and then voted between
the winner of that contest and $25.)
The median voter in this situation is _________