Suppose Dave and Merrie Want to Take Turns, Using the Bottom-Up

Suppose Dave and Merrie want to take turns, using the bottom-up strategy, to allocate six treats. Their ranked preferences are listed below: $\begin{array}{|ll|l|l|l|l|l|}\hline \text { Dave } & \begin{array}{l}\text { lst } \\\text { gummy } \\\text { worms }\end{array} & \begin{array}{l}2^{\text {nd }} \\\text { chocolate } \\\text { bar }\end{array} & \begin{array}{l}3 r \mathrm{rd} \\\text { lemon } \\\text { cookies }\end{array} & \begin{array}{l}\text { th } \\\text { chips }\end{array} & \begin{array}{l}\text { 5th } \\\text { cheese- } \\\text { cake }\end{array} & \begin{array}{l}6^{\text {th }} \\\text { pretzels }\end{array} \\\hline \text { Merrie } & \begin{array}{l}\text { lemon } \\\text { cookies }\end{array} & \begin{array}{l}\text { chocolate } \\\text { bar }\end{array} & \text { chips } & \begin{array}{l}\text { gummy } \\\text { worms }\end{array} & \text { pretzels } & \begin{array}{l}\text { cheese- } \\\text { cake }\end{array} \\\hline\end{array}$ If Dave chooses first, what is the division of the objects?

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Dave gets chocolate ...

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