Excursions in Modern Mathematics, Books a la carte edition (9th Edition)
9th Edition
ISBN: 9780134469041
Author: Peter Tannenbaum
Publisher: PEARSON
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Question
Chapter 3, Problem 27E
(a)
To determine
If it is a fair division or not.
(b)
To determine
To find:
If it is a fair division or not.
(c)
To determine
If it is a fair division or not.
(d)
To determine
To find:
If it is a fair division or not.
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Check out a sample textbook solutionStudents have asked these similar questions
Three partners are dividing a piece of land worth $81,000 among themselves using the lone-divider method.The following table shows the value of the parcels in the eyes of each partner
S1
S2
S3
Rita
$28,000
$21,000
$32,000
Tammy
$26,000
$24,000
$31,000
Stu
$27,000
$27,000
$27,000
The table indicates that ["", "", ""] was the divider.
Tammy finds ["", "", "", ""] to be fair.
A fair resolution according to Lone Divider would be ["", "", ""]
Four partners are dividing a piece of land worth $124,800 among themselves using the lone-divider method. The following table shows the value of the parcels in the eyes of each partner, but some of the entries are missing.
S1
S2
S3
S4
Jim
$6,240
$49,920
$62,400
Jackie
$37,440
$37,440
$24,960
Bob
$31,200
$31,200
Betty
$24,960
$24,960
$62,400
What is the value of S2 for Jim?
Group of answer choices
$124,800
$49,920
$12,480
$6,240
Cannot be determined.
Four partners are dividing a piece of land worth $125,200 among themselves using the lone-divider method. The following table shows the value of the parcels in the eyes of each partner, but some of the entries are missing.
S1
S2
S3
S4
Jim
$6,260
$50,080
$62,600
Jackie
$37,560
$37,560
$25,040
Bart
$31,300
$31,300
Betty
$25,040
$25,040
$62,600
Who was the divider?
Group of answer choices
Jim
Jackie
Bart
Betty
Cannot be determined.
Chapter 3 Solutions
Excursions in Modern Mathematics, Books a la carte edition (9th Edition)
Ch. 3 - Henry, Tom, and Fred are breaking up their...Ch. 3 - Alice, Bob, and Carlos are dividing among...Ch. 3 - Angie, Bev, Ceci, and Dina are dividing among...Ch. 3 - Mark, Tim, Maia, and Kelly are dividing among...Ch. 3 - Allen, Brady, Cody, and Diane are sharing a cake....Ch. 3 - Carlos, Sonya, Tanner, and Wen are sharing a cake....Ch. 3 - Four partners Adams, Benson, Cagle, and Duncan...Ch. 3 - Prob. 8ECh. 3 - Suppose that Angelina values strawberry cake twice...Ch. 3 - Suppose that Brad values chocolate cake thrice as...
Ch. 3 - Suppose that Brad values chocolate cake four as...Ch. 3 - Suppose that Angelina values strawberry cake five...Ch. 3 - Karla and five other friends jointly buy the...Ch. 3 - Marla and five other friends jointly buy the...Ch. 3 - Suppose that they flip a coin and Jackie ends up...Ch. 3 - Suppose they flip a coin and Karla ends up being...Ch. 3 - Suppose that they flip a coin and Martha ends up...Ch. 3 - Suppose that they flip a coin and Nick ends up...Ch. 3 - Suppose that David is the divider and Paula is the...Ch. 3 - Suppose that Paula is the divider and David is the...Ch. 3 - Three partners are dividing a plot of land among...Ch. 3 - Three partners are dividing a plot of land among...Ch. 3 - Four partners are dividing a plot of land among...Ch. 3 - Four partners are dividing a plot of land among...Ch. 3 - Mark, Tim, Maia, and Kelly are dividing a cake...Ch. 3 - Allen, Brady, Cody; and Diane are sharing a cake...Ch. 3 - Prob. 27ECh. 3 - Four partners are dividing a plot of land among...Ch. 3 - Prob. 29ECh. 3 - Five players are dividing a cake among themselves...Ch. 3 - Four partners Egan, Fine, Gong, and Hart jointly...Ch. 3 - Four players Abe, Betty, Cory, and Dana are...Ch. 3 - Exercises 33 and 34 refer to the following...Ch. 3 - Exercises 33 and 34 refer to the following...Ch. 3 - Exercise 35 through 38 refer to the following...Ch. 3 - Exercise 35 through 38 refer to the following...Ch. 3 - Prob. 37ECh. 3 - Prob. 38ECh. 3 - Exercises 39 and 40 refer to the following:...Ch. 3 - Exercises 39 and 40 refer to the following:...Ch. 3 - Jackie, Karla, and Lori are dividing the foot-long...Ch. 3 - Jackie, Karla, and Lori are dividing the foot-long...Ch. 3 - Ana, Belle, and Chloe are dividing four pieces of...Ch. 3 - Andre, Bea, and Chad are dividing an estate...Ch. 3 - Five heirs A,B,C,D, and E are dividing an estate...Ch. 3 - Oscar, Bert, and Ernie are using the method of...Ch. 3 - Anne, Bette, and Chia jointly own a flower shop....Ch. 3 - Al, Ben and Cal jointly own a fruit stand. They...Ch. 3 - Ali, Briana, and Caren are roommates planning to...Ch. 3 - Anne, Bess and Cindy are the roommates planning to...Ch. 3 - Prob. 51ECh. 3 - Three players (A,B and C) are dividing the array...Ch. 3 - Three players (A,B,andC) are dividing the array of...Ch. 3 - Three players (A,B,andC) are dividing the array of...Ch. 3 - Five players (A,B,C,D,andE) are dividing the array...Ch. 3 - Four players (A,B,C,andD) are dividing the array...Ch. 3 - Prob. 57ECh. 3 - Queenie, Roxy, and Sophie are dividing a set of 15...Ch. 3 - Ana, Belle, and Chloe are dividing 3 Choko bars, 3...Ch. 3 - Prob. 60ECh. 3 - Prob. 61ECh. 3 - Prob. 62ECh. 3 - Prob. 63ECh. 3 - Prob. 64ECh. 3 - Three players A, B, and C are sharing the...Ch. 3 - Angeline and Brad are planning to divide the...Ch. 3 - Prob. 67ECh. 3 - Efficient and envy-free fair divisions. A fair...Ch. 3 - Suppose that N players bid on M items using the...Ch. 3 - Asymmetric method of sealed bids. Suppose that an...Ch. 3 - Prob. 73E
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- Players A, B, C, and D are dividing an estate using the Method of Sealed Bids. There are three indivisible items to allocate. A B C D Item #1 $470 $500 $530 $490 Item #2 $300 $320 $290 $310 Item #3 $430 $380 $380 $400 A fair share to player B is worth at least ["600","400", "300", "200"] . Player ["A", "B", "C", "D"] gets Item #1. Player ["A", "B", "C", "D"] gets Item #2. Player ["A", "B", "C", "D"] gets Item #3. After the kitty has been divided, player A gets ["no items", "item #1", "item #2", "item #3", "more than one item"] and ["pays $110", "pays $130", "gains $35", "gains $130"] .arrow_forwardPlayers A, B, C, and D are dividing an estate using the Method of Sealed Bids. There are three indivisible items to allocate. A B C D Item #1 $500 $470 $490 $530 Item #2 $320 $300 $310 $290 Item #3 $380 $430 $400 $380 A fair share to player A is worth [600, 400, 300, 200] . Player _____ gets Item #1. Player _____ gets Item #2. Player _____ gets Item #3. After the initial allocation there is ______ remaining in the kitty. After the kitty has been divided, player B gets _______ and _____ ""] .arrow_forwardFour partners are dividing a piece of land worth $159,200 among themselves using the lone-divider method. The following table shows the value of the parcels in the eyes of each partner, but some of the entries are missing. S1 S2 S3 S4 John $47,760 $47,760 Jackie $47,760 $31,840 $47,760 Bill $39,800 $39,800 $39,800 Barb $31,840 $79,600 $31,840 John values S1 and S4 the same. What is this value? Group of answer choices $47,760 $39,800 $31,840 $23,880 Cannot be determined.arrow_forward
- The divider-chooser method is best suited for which of the following scenarios?A) Mike and Jack were given a list of errands to run by their mom. They need to divide the list between them as fairly as possible.B) Mike and Jack were given a vintage car by their parents and must decide who gets to have the car.C) Voters must choose a candidate between two candidates.D) The number of seats given to a territory in the house of representatives must bedetermined.arrow_forwardA group of fun-loving people have decided to play a practical joke on one of their friends, but they can't decide which friend, Alice (A), Betty (B), or Connie (C). Their preferences are: (ABC) (CBA) (BCA) 6 10 9 Who wins using the Borda count method? Does this violate the Condorcet criterion?arrow_forwardIf you and another person are using the divide-and-choose procedure to divide something between you, would you rather be the divider or the chooser? (Assume that neither of you knows anything about the preferences of the other.)arrow_forward
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