The same options in the second box Carlos Felix and Larry ar

The same options in the second box

Carlos, Felix, and Larry are roommates who are trying to decide how much money to spend on heat in their apartment each month. Larry does not care about heat and is on a tight budget. Therefore, he prefers to contribute no money to heat, and his utility is constantly declining as they increase the amount of money they spend. Carlos hates being cold. Therefore, he would ideally like each to contribute $55 to heat, and his utility is constantly declining as they decrease the amount of money they spend. Felix would ideally contribute $15. However, he would prefer contributing $55 to contributing $0 because he does not want to freeze Suppose the three roo mmates ote on spending either $0, 15, 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... $55 $15 $0 Carlos Under a system of Borda count, the winning option is $0 If instead, the roommates were to hold a two-phase E (such that they first voted between two options, then voted between the winner of that contest and the final option the winner would $15 Hint: Determine the outcome if the roommates first voted between 55 and $0, and then voted between the winner of that co d $15.)

Solution

$55 $15 $0

Carlos 3 2 1

Felix 2 3 1   

Larry 1 2 3

Total 6 7 5

Winning option is $15.

two phase votin, winner is $15.