Problem

The following problems use the last-diminisher method of fair division. Three kids, T...

The following problems use the last-diminisher method of fair division.

Three kids, Tia, Tom, and Tara, will partition the back yard so they can each build a fort. For each of the following scenarios, describe a fair division of the back yard using the last-diminisher method.

a. Tia partitions a portion of the yard. Tom moves the divider to make the area smaller. Tara makes no changes.

b. Tia partitions a portion of the yard. Tom and Tara make no changes.

c. Tia partitions a portion of the yard. Tom makesthe area smaller, then Tara makes the area even smaller.

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