MCS 115 Extra Credit Problems: Adjusted Winner
Procedure
If you solve an extra credit problem, the work you do must be
entirely your own.
Each problem here is worth 20 points.
The following problems are quoted from For All Practical
Purposes 5/e by COMAP.
1. Suppose that Calvin and Hobbes discover a sunken pirate ship and
must divide their loot. They assign points to the items as follows:
| Object
| Calvin's Points
| Hobbes's Points
|
| Cannon
| 10
| 5
|
| Anchor
| 10
| 20
|
| Unopened chest
| 15
| 20
|
| Doubloon
| 11
| 14
|
| Figurehead
| 20
| 30
|
| Sword
| 15
| 6
|
| Cannon ball
| 5
| 1
|
| Wooden leg
| 2
| 1
|
| Flag
| 10
| 2
|
| Crow's nest
| 2
| 1
|
Use the adjusted winner procedure to determine a fair allocation of the
loot. (Exercise 1 courtesy of Erica DeCarlo.)
2. This exercise illustrates how the adjusted winner procedure can be
used to resolve disputes as well as to achieve fair allocations.
Suppose Mike and Phil are roommates in college, and they encounter
serious conflicts during their first week at school. Their resident
adviser decides to use the adjusted winner procedure to resolve the
dispute. The issues agreed upon, and the (independently assigned)
points, turn out to be the following:
| Issue
| Mike's Points
| Phil's Points
|
| Stereo level
| 4
| 22
|
| Smoking rights
| 10
| 20
|
| Room party policy
| 50
| 25
|
| Cleanliness
| 6
| 3
|
| Alcohol use
| 15
| 15
|
| Phone time
| 1
| 8
|
| Lights-out time
| 10
| 2
|
| Visitor policy
| 4
| 5
|
Use the adjusted winner procedure to resolve this dispute.
(Exercise 2 courtesy of Erica DeCarlo.)