Stromquist moving-knives procedure

It requires four knives but only two cuts, so each player receives a single connected piece.

There is no natural generalization to more than three players which divides the cake without extra cuts.

Additionally, because they remained quiet, the piece they receive is larger in their eyes than Left, so they also don't envy the shouter.

The same analysis shows that the division is envy-free even in the somewhat degenerate case when there are two shouters, and the leftmost piece is given to any of them.

The moving-knives procedure can be adapted for chore division - dividing a cake with a negative value.