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 , s 3 } ;. C 2 : { s 1 , s 3 } ; C 3 : { s 1 , s 2 } Describe two different fair divisions of the land. c. 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.
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 , s 3 } ;. C 2 : { s 1 , s 3 } ; C 3 : { s 1 , s 2 } Describe two different fair divisions of the land. c. 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.
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
,
s
3
}
;.
C
2
:
{
s
1
,
s
3
}
;
C
3
:
{
s
1
,
s
2
}
Describe two different fair divisions of the land.
c. 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.
During busy political seasons, many opinion polls are conducted. In apresidential race, how do you think the participants in polls are generally selected?Discuss any issues regarding simple random, stratified, systematic, cluster, andconvenience sampling in these polls. What about other types of polls, besides political?
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