Exam 13: Fair Division

Use the following information to answer the Questions: Suppose Jack and Joe want to take turns, using the bottom-up strategy, to allocate a selection of cookies. Their ranked preferences are listed below: 1st 2nd 3 rd 4th 5 th 6 th Jack chocolate peanut butter macadamia macaroon sugar oatmea Joe peanut butter oatmeal macaroon macadamia chocolate sugar -If Joe chooses first, what is his first choice?

Use the following information to answer the Questions Tom and Sandy must make a fair division of three objects left by their great-aunt Sally. They have assigned points to the objects as shown below. Object Tom's points Sandy's points Painting 40 30 Jewelry 10 50 Car 50 20 -Using the adjusted winner procedure, how many points of value does Tom feel he ends with?

Use the following information to answer the Questions: Tom and Huck need to paint a fence and agree to use a modification of the divide-and-choose procedure to make a fair division of the chore. The boys' views of the fence are shown below. (Remember, each boy wants to end up with the smallest possible amount to paint.) -If Tom divides and Huck chooses, how many units of fence will Huck think each boy is painting?

Use the following information to answer the Questions: Suppose that there are five potential kidney recipients with the following characteristics: Potential Recipient Months Waiting Antigens Matched Percent Sensitized A 5 2 10 B 4 3 30 C 3.5 1 20 D 3 3 70 E 2 4 80 -If one kidney became available, who will get the kidney?

Four heirs need to make a fair division of the property left in an estate. The objects and the point values assigned to them are given below. If the heirs want to use the trimming procedure, with the order Chris, Kelly, Dana, and Kim, would the house need to be sold? Object Chris's points Kelly's points Dana's points Kim's points House 20 15 18 20 Car 10 12 10 5 Painting 10 8 12 15 Fumiture 5 10 10 5 Money 55 55 50 55

Use the following information to answer the Questions: Three children must make fair division of a painting and sculpture left them by their mother. Using the Knaster inheritance procedure, the value each child places on the objects is shown below. Object A B C Painting \ 4000 \ 6300 \ 6000 Sculpture \ 2300 \ 1800 \ 2400 -What does B get after the fair division?

Use the following information to answer the Questions Jack and Jill went up the hill and found an antique water pail. Jack and Jill must now make a fair division of the pail using the Knaster inheritance procedure. Jack bids $80 for the value of the pail and Jill bids $65. -How much value does Jack believe he ends with?

If Jack and Jill want to take turns, using the bottom-up strategy, to allocate 10 items, under what situation could it be possible that each person would get their top five choices?

Use the following information to answer the Questions At the end of the lease on their apartment, Abe and Bonnie decide to rent separate places and so must make a fair division of the property they purchased together. The items to be divided and the point values each person places on them are given below. Item Abe's points Bonnie's point Plant 10 10 Bookcase 40 30 Quilt 25 20 Picture 25 40 -If Abe and Bonnie use the adjusted winner procedure to divide the property, how many points of value will each person think they end up with?

After having been roommates for four years at college, Alex and Bob are moving on. Several items they have accumulated belong jointly to the pair, but now must be divided between the two. They assign points to the items as follows: Object Alex's points Bob's points Bicycle 10 12 Textbooks 20 16 Barbells 5 2 Rowing machine 7 10 Music collection 8 11 Computer 15 17 Novels 20 22 Desk 15 10 Use the adjusted winner procedure to determine a fair division of the property.

Use the following information to answer the Questions: Suppose Kim and Chris want to take turns, using the bottom-up strategy, to allocate several textbooks currently held jointly. Their ranked preferences are listed below: Chris botany sociology physiology biology ecology chemistry Kim biology chemistry botany sociology ecology physiology -If Kim chooses first, what is Kim's first choice?

Abby and Annie must make a fair division of four objects inherited from their grandmother. If Abby and Annie use the adjusted winner procedure, what is the division of the objects? Object Abby's Annie's points points Brass bed 30 45 Cedar chest 50 10 Hand-sewn quilt 15 25 Photo albums 5 20

Use the following information to answer the Questions: Ashley, Brook, Chris, and Dana must make a fair division of the estate of their uncle Bob. The estate consists of a farm house, a car, and a horse. Using the Knaster inheritance procedure, the value each person places on each item is shown below. Item Ashley Brook Chris Dana House \ 35,000 \ 50,000 \ 48,000 \ 42,000 Car \ 3000 \ 2500 \ 2750 \ 2800 Horse \ 6000 \ 5800 \ 6250 \ 5200 -What does Ashley end the fair division with?

Use the following information to answer the Questions Albert, Bella, Cosmo, and Dante inherit their grandmother's estate, which consists of a rare first- edition novel and a piano. The dollar values that each heir places on the items are as follows: Novel 10,000 6,000 Piano 2,000 5,000 500 100 4,000 100 Use the Knaster inheritance procedure to divide the property. -How much cash does Cosmo end up with?

What does Brook think the inheritance is worth?

Charles and Monte must make a fair division of a cabin. They use the Knaster inheritance procedure. Charles bids $65,000 for the value of the cabin and Monte bids $57,000. How much value does Monte believe he ends up with?

Paul and Henry must make a fair division of three objects. If Paul and Henry use the adjusted winner procedure, what is the division of the objects? Object Paul's points Henty's points Wooden toy 60 20 collection Antique desk 25 45 China 15 35

Use the following information to answer the Questions At the end of the lease on their apartment, Abe and Bonnie decide to rent separate places and so must make a fair division of the property they purchased together. The items to be divided and the point values each person places on them are given below. Item Abe's points Bonnie's point Plant 10 10 Bookcase 40 30 Quilt 25 20 Picture 25 40 -If Abe and Bonnie use the adjusted winner procedure to divide the property, who gets the bookcase?

Suppose Kelly and Jan want to take turns, using the bottom-up strategy, to allocate several textbooks currently held jointly. Their ranked preferences are listed below: 1 st 2 nd 3 rd 4th 5 th 6 th Kelly Jan painting design music architecture architecture painting sculpture sculpture design music textiles textiles If Jan chooses first, how are books allocated?

Use the following information to answer the Questions: Alex, Betty, and Chris each view a cake as shown below. They will share the cake using the last-diminisher method with the order Alex, Betty, and Chris cutting and passing off the right side of the cake. -Though they don't realize it, Dana, Chris, Kelly, and Terry each view a cake the same way. They will share the cake using the last-diminisher method. When the first person cuts and passes a piece of the cake, what happens?