- #1

WilcoRogers

- 9

- 0

## Homework Statement

Suppose that two people are dividing two cakes using the following rules:

1. The first person divides the first cake into two pieces in any fashion.

2. The second person then chooses which of the two cakes they will get to choose the first piece from.

3. The first person then cuts the second cake into two pieces in any fashion.

4. The second person chooses his piece of whichever cake he chose in step 2.

5. The first person chooses his piece of the other cake.

Devise a strategy that gives the first person as much cake as possible and say what that maximum amount is. Assume both cakes are the same size.

## The Attempt at a Solution

The idea I think is multivariate calculus, seeing as that's what we are studying at the moment, but I also think this is just my prof being clever... I figured not cutting the cake at all would allow the first person a whole cake no matter what, but I'm not sure if that's allowed. Has anyone seen this before?