A wealthy person has passed away, naming three siblings as beneficiaries of the vast estate. Unfortunately, the will states that:
My estate shall be divided evenly, such that no sibling shall feel their share is smaller than any other share.
As the estate contains many illiquid assets of sentimental value, one cannot simply convert everything into monetary value and numerically divide. For simplicity however, assume that all assets can be arbitrarily divided.
As it turns out, the three siblings came together and, after some back-and-forth, arrived at a partition where no one sibling felt they received a smaller share than any other, fulfilling the will.
How did they arrive at their partition?
This is a well known puzzle, which is usually posed as sharing a cake, and how to cut it. Although the solution is simple to understand, it might not be so easy to independently come up with it.