The winning option is ($0/$25/$55) The winner would be ($0 /$25/$55) The median
ID: 1117595 • Letter: T
Question
The winning option is ($0/$25/$55) The winner would be ($0 /$25/$55) The median voter in this situation is (Tim/Nick/Jake)6. Identifying the median voter Jake, Nick, and Tim are roommates who are trying to decide how much money to spend on heat in their apartment each month. Tim does not care about heat and is on a tight budget. Therefore, he prefers to contribute no money to heat, and his utility declines at a constant rate as the roommates increase the amount of money they spend. Nick would ideally contribute $25. However, he would prefer contributing $55 to contributing $0 because he does not want to freeze. Jake hates being cold. Therefore, he would ideally like each to contribute $55 to heat, and his utility declines at a constant rate as the roommates decrease the amount of money they spend. Suppose the three roommates vote on spending either s0, $25, or $55 on heat using the Borda count system of voting. That is, each roommate 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 roommate awards to each option and then summing the scores of each option to obtain a final ranking Borda Count For Spending... $25 $55 $0 Jake Nick Tim Total Under a system of Borda count, the winning option is
Explanation / Answer
Borda Count for Spending
Jacks hates being cold so his first choice is $55 and second choice $25.
Nick doesnt want to freeze so his first choice is $25 and second $55.
Tim doesn't care about the cold and is on a tigh budget so his first choice is $0 and second $25.
The highest points are for $25 hence, the winning option is $25.
If roomates held a two phase election:
Between $55 and $0 :
Jake's first choice is $55, so jake's vote is for $55.
Nick doesn't want to freeze so hisvote is for $55.
Tim's first choice is $0, so his vote is for $0.
Between $55 and $25, $55 is the winner.
Now between $55 and $25:
Jake's first choice is $55, so jake's vote is for $55.
Nick's first choice is $25 so his vote is for $25.
Tim's on a tigh budget, so his vote is for $25.
Between $55 and $25, $25 is the winner.
Hence $25 is the winner.
The median voter is Tim as he is flexible with his choice,
$55 $25 $0 Jack 3 2 1 Nick 2 3 1 Tim 1 2 3 Total 6 7 5Related Questions
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