Chapter 3, Problem 32E

Four players (Abe, Betty, Cory, and Dana) are dividing a pizza worth $\$18.00$ among themselves using the lone-divider method. The divider divides the pizza into four shares $s_1$, $s_2$, $s_3$, and $s_4$. Table 3-21 shows the value of some of the slices in the eyes of each player.

Table 3-21

	$s_1$	$s_2$	$s_3$	$s_4$
Abe	$\$5.00$	$\$5.00$	$\$3.50$
Betty		$\$4.50$
Cory	$\$4.80$	$\$4.20$	$\$4.00$
Dana	$\$4.00$	$\$3.75$	$\$4.25$

a. Who was the divider? Explain.

b. Determine each chooser’s bid.

c. Find a fair division of the pizza.