SELFRIDGE-CONWAY PROCEDURE FOR THREE PLAYERS

First stage:

Step 1: Player 1 cuts the cake into, what in his view, is 3 equal pieces.

Step 2: Player 2, if he thinks one piece is largest, trims from that piece to create what he believes is a 2-way tie for largest piece. The trimmings are set aside. If player 2 thinks that the original split was fair, he does nothing.

Step 3: Player 3 may choose any piece.

Step 4: Player 2 chooses a piece. If the trimmed piece remains, he must choose it. If not, he chooses the one he feels is tied with the trimmed piece for largest.

Step 5: Player 1 gets the remaining piece.

Second stage:

Step 6: From player 2 and player 3 take the one who did not receive the trimmed piece and have him divide the trimmings into what he considers 3 equal parts.

Step 7: The player who took the trimmed piece chooses one part of the trimmings.

Step 8: Player 1 chooses a piece of the trimmings.

Step 9: The remainder goes to the player who divided the trimmings in step 6.