Four people are sharing a cake which has been divided into four slices (s1, s2, s3, s4). The perceived value of each slice to each of the four is given in the table below.
a) Given that Diane believes the cake to have a total value of $20, which slice(s) are fair shares to her?
b) Which slice(s) are fair shares to Cody? (Hint: The total value of the cake is different to Cody than it is to Diane).
c) Give an example of a fair division of the cake.
1. Four people are sharing a cake which has been divided into four slices (s1, s2, s3, s4). The perceived value of each slice to each of the four is given in the table below:
Allen: $4.00, $5.00, $6.00, $5.00
Brady: $3.00, $3.50, $4.00, $5.50
Cody: $6.00, $4.50, $3.50, $4.00
Diane: $7.00, $4.00, $4.00, $5.00
a) Given that Diane believes the cake to have a total value of $20, which slice(s) are fair shares to her?
b) Which slice(s) are fair shares to Cody? (Hint: The total value of the cake is different to Cody than it is to Diane).
c) Give an example of a fair division of the cake.