This question discusses fair three-way sandwich division. Mentoined solutions include the Selfridge–Conway discrete procedure and the moving-knife procedure. I posed the question to the guys at the office and we can't think why this method would not be a solution:
- A makes the first cut.
- B makes the second cut.
- C chooses a piece.
- A chooses a piece.
- B gets the remaining piece.
Is this a solution? If not then why not?
Suppose that A thinks that he has cut the sandwich into 1/3 and 2/3, but B then cuts the piece which A thought was 1/3. C can now take the piece which A thinks is 2/3, and A is going to be very unhappy.