of its definition in cake-cutting: each partner should receive a piece that is worth, according to his own personal disutility function, at most of the total value (where is the total number of partners): Most protocols for proportional cake-cutting can be easily translated to the chore-cutting. For example: To use the last diminisher protocol: ask an agent to cut a piece worth exactly for him. If any other agent feels that this piece is too small, then he can enlarge it until it is worth exactly for him, and so on. The "last enlarger" receives the piece, which is worth exactly for him and at least for the others. To use the Even–Paz protocol: ask each agent to mark the half-value line, making sure all lines are parallel. Cut the cake in the median of the lines, divide the agents to two groups of agents, and let each half recursively divide the piece that does NOT contain its line. Equitable and exact chore-cutting Procedures for equitable division and exact division work equally well for cakes and for chores, since they guarantee equal values. An example is the Austin moving-knife procedure, which guarantees each partner a piece that he values as exactly 1/n of the total. Envy-free chore-cutting The definition of envy-freeness in chore-cutting is the mirror-image of its definition in cake-cutting: each partner should receive a piece that is worth, according to his own personal disutility function, at most as much as any other piece: For two partners, divide and choose produces an envy-free chore-cutting. However, for three or more partners, the situation is much more complicated. The main difficulty is in the trimming – the action of trimming a piece to make it equal to another piece (as done e.g. in the Selfridge–Conway protocol). This action cannot be easily translated to the chore-cutting scenario. Oskui's discrete procedure for three partners Reza Oskui was the first who suggested a chore-cutting procedure for three partners. His work was never formally published; It is described in pages 73–75. It is similar to the Selfridge–Conway protocol, but more complicated: it requires 9 cuts instead of 5 cuts. Below, the partners are called Alice, Bob and Carl. Step one. Alice cuts the chore to three pieces equal in her eyes (this is also the first step in the Selfidge-conway protocol). Bob and Carl specify their smallest piece. The easy case is that they disagree,