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 s 1 , s 2 , s 3 , and s 4 the choosers C 1 , C 2 , and C 3 submit their bids for these shares. a. Suppose that the choosers bid lists are C 1 : { s 2 } ;. C 2 : { s 1 , s 3 } ; C 3 : { s 2 , s 3 } Find a fair division of the land. Explain why this is the only possible fair division. b. Suppose that the choosers’ bid lists are C 1 : { s 2 } ;. C 2 : { s 1 , s 3 } ; C 3 : { s 1 , s 4 } Describe three different fair divisions of the land. c. Suppose that the choosers’ bid lists are. C 1 : { s 2 } ;. C 2 : { s 1 , s 2 , s 3 } ; C 3 : { s 2 , s 3 , s 4 } Describe three different fair divisions of the land.
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 s 1 , s 2 , s 3 , and s 4 the choosers C 1 , C 2 , and C 3 submit their bids for these shares. a. Suppose that the choosers bid lists are C 1 : { s 2 } ;. C 2 : { s 1 , s 3 } ; C 3 : { s 2 , s 3 } Find a fair division of the land. Explain why this is the only possible fair division. b. Suppose that the choosers’ bid lists are C 1 : { s 2 } ;. C 2 : { s 1 , s 3 } ; C 3 : { s 1 , s 4 } Describe three different fair divisions of the land. c. Suppose that the choosers’ bid lists are. C 1 : { s 2 } ;. C 2 : { s 1 , s 2 , s 3 } ; C 3 : { s 2 , s 3 , s 4 } Describe three different fair divisions of the land.
Solution Summary: The author explains how four partners divide a plot of land among themselves using the lone-divider method.
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
s
1
,
s
2
,
s
3
, and
s
4
the choosers
C
1
,
C
2
, and
C
3
submit their bids for these shares.
a. Suppose that the choosers bid lists are
C
1
:
{
s
2
}
;.
C
2
:
{
s
1
,
s
3
}
;
C
3
:
{
s
2
,
s
3
}
Find a fair division of the land. Explain why this is the only possible fair division.
b. Suppose that the choosers’ bid lists are
C
1
:
{
s
2
}
;.
C
2
:
{
s
1
,
s
3
}
;
C
3
:
{
s
1
,
s
4
}
Describe three different fair divisions of the land.
c. Suppose that the choosers’ bid lists are.
C
1
:
{
s
2
}
;.
C
2
:
{
s
1
,
s
2
,
s
3
}
;
C
3
:
{
s
2
,
s
3
,
s
4
}
Describe three different fair divisions of the land.
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