Chapter 3, Problem 21E

Three partners are dividing a plot of land among themselves using the lone-divider method. After the divider D divides the land into three shares $s_1$, $s_2$, $s_3$ and, the choosers and $C_1$ and $C_2$ submit their bids for these shares.

a. Suppose that the choosers’ bid lists are $C_1:\left\{s_2,s_3\right\}$; $C_2:\left\{s_1,s_3\right\}$. Describe two different fair divisions of the land.

b. Suppose that the choosers’ bid lists are $C_1:\left\{s_2,s_3\right\}$; $C_2:\left\{s_1,s_3\right\}$. Describe three different fair divisions of the land.