Suppose Kelly and Jan Want to Take Turns, Using the Bottom-Up

Essay

Suppose Kelly and Jan want to take turns, using the bottom-up strategy, to allocate several textbooks currently held jointly. Their ranked preferences are listed below: $\begin{array}{|c|c|c|c|c|c|c|}\hline&{1 \text { st }} & {2 \text { nd }} & {3 \text { rd }} & {\text { 4th }} & 5 \text { th } & 6 \text { th } \\\hline\begin{array}{l}\text { Kelly } \\\text { Jan }\end{array} & \begin{array}{l}\text { painting } \\\text { design }\end{array} & \begin{array}{l}\text { music } \\\text { architecture }\end{array} & \begin{array}{l}\text { architecture } \\\text { painting }\end{array} & \begin{array}{l}\text { sculpture } \\\text { sculpture }\end{array} & \begin{array}{l}\text { design } \\\text { music }\end{array} & \begin{array}{l}\text { textiles } \\\text { textiles }\end{array}\end{array}$ If Kelly chooses first, how are books allocated?