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Solution: Four partners are dividing a plot of land among themselves using the
Chapter 3, Problem 28(choose chapter or problem)
Four partners are dividing a plot of land among themselves using the lone-divider method. After the divider D divides the land into four shares s1, s2, s3, and s4, the choosers C1, C2, and C3 submit the following bids: C1: 5s3, s46; C2: 5s46; C3: 5s36. For each of the following possible divisions, determine if it is a fair division or not. If not, explain why not. (a) D gets s1; s2, s3, and s4 are recombined into a single piece that is then divided fairly among C1, C2, and C3 using the lone-divider method for three players. (b) D gets s3; s1, s2, and s4 are recombined into a single piece that is then divided fairly among C1, C2, and C3 using the lone-divider method for three players. (c) D gets s2; s1, s3, and s4 are recombined into a single piece that is then divided fairly among C1, C2, and C3 using the lone-divider method for three players. (d) C2 gets s4; C3 gets s3; s1, s2 are recombined into a single piece that is then divided fairly between C1 and D using the divider-chooser method.
Questions & Answers
QUESTION:
Four partners are dividing a plot of land among themselves using the lone-divider method. After the divider D divides the land into four shares s1, s2, s3, and s4, the choosers C1, C2, and C3 submit the following bids: C1: 5s3, s46; C2: 5s46; C3: 5s36. For each of the following possible divisions, determine if it is a fair division or not. If not, explain why not. (a) D gets s1; s2, s3, and s4 are recombined into a single piece that is then divided fairly among C1, C2, and C3 using the lone-divider method for three players. (b) D gets s3; s1, s2, and s4 are recombined into a single piece that is then divided fairly among C1, C2, and C3 using the lone-divider method for three players. (c) D gets s2; s1, s3, and s4 are recombined into a single piece that is then divided fairly among C1, C2, and C3 using the lone-divider method for three players. (d) C2 gets s4; C3 gets s3; s1, s2 are recombined into a single piece that is then divided fairly between C1 and D using the divider-chooser method.
ANSWER:Step 1 of 6
Given:
If the divider divides the land into four shares and then each share is worth of the total value of the land.