A cake is divided among six players (P1, P2, P3, P4, P5, P6) using the last-diminisher method. The order in which the players play is P1 first, P2 second, and so on.

Round 1: After P1 makes the first cut, P2, P5, and P6 are the only diminishers.

Round 2: After the first claim is made, there are no diminishers.

Round 3: After the first claim is made, every player is a diminisher.

A.) Which player gets his or her share at the end of round 1?

B.) Which player makes the first cut to start round 2?

C.) Which player gets his or her share at the end of round 2?

Question

A cake is divided among six players (P1, P2, P3, P4, P5, P6) using the last-diminisher method. The order in which the players play is P1 first, P2 second, and so on.

Round 1: After P1 makes the first cut, P2, P5, and P6 are the only diminishers.

Round 2: After the first claim is made, there are no diminishers.

Round 3: After the first claim is made, every player is a diminisher.

A.) Which player gets his or her share at the end of round 1?

B.) Which player makes the first cut to start round 2?

C.) Which player gets his or her share at the end of round 2?

joshoyen · Answer

D.) Which player gets his or her share at the end of round 3?

E.) Which player makes the first cut to start round 4?

F.) What is the total number of rounds needed to play this game through to the end?