6. Identifying the median voter Musashi, Sean, and Bob are roommates who are try

Question

6. Identifying the median voter Musashi, Sean, and Bob are roommates who are trying to decide how much money each should contribute to a party they are throwing. Sean would ideally contribute $25 because he only wants to buy pizza. However, he would prefer contributing $55 to contributing $0 and not having a party at all. Musashi wants to buy a $90 keg of beer and $75 worth of pizza. Therefore, he would ideally like each to contribute $55 to the party, but if the others are unwilling to contribute that much, he would settle for buying just the pizza (and contributing $25 each) and asking guests to bring beer. Bob does not care about the party and is on a tight budget. Therefore, he prefers to contribute no money to the party, and his utility is constantly declining as they increase the amount of money they spend. Suppose the three roommates vote on spending either $0, $25, or $55 on the party 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 $55 500 Musashi Sean Bob Total Under a system of Borda count, the winning option is

Explanation / Answer

Table

$55

$25

$0

M

3

2

1

S

2

3

1

B

1

2

3

Total

6

7

5

The wining option is $25, since it gathers the highest total

$55

$25

$0

M

3

2

1

S

2

3

1

B

1

2

3

Total

6

7

5

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