Moving-knife procedure

• One player moves the knife across the cake, conventionally from left to right.
• The cake is cut when either player calls "stop".
• If each player calls stop when he or she perceives the knife to be at the 50-50 point, then the first player to call stop will produce an envy-free division if the caller gets the left piece and the other player gets the right piece.

• The Stromquist moving-knives procedure
• The Austin moving-knife procedures
• The Levmore–Cook moving-knives procedure
• The Robertson–Webb rotating-knife procedure
• The Dubins–Spanier moving-knife procedure
• The Webb moving-knife procedure