FINK'S LONE-CHOOSER METHOD

Fink's Lone-Chooser method is best understood in steps:

​

Step 1 - if there are N players, N-1 players are going to be dividers. The remaining player is the lone chooser.

Step 2 - Dividers clearly divide the estate among themselves.

Step 3 - Each divider then takes their share from the previous division of the estate and divides it into N equal shares.  [(N-1)(N)]

Step 4 - The chooser chooses one share from each divider. This constitutes the chooser's fair share.

The shares not chosen are the fair shares of the dividers.

​

For example,

David, Diane, and Carly divide a half-chocolate half-strawberry cake using the lone-chooser method.

David has no preference for flavors.

Diane only likes strawberry.

Carly likes chocolate twice as much as she likes strawberry.

David and Diane are the dividers and Carly is the chooser. David and Diane cut the cake as seen in the picture, then David cuts his piece into 3 equal shares and Diane does the same.

The total pieces of cake are six. Carly chooses one of Davids slices and one of Diane's slices.

The results of the fair division of the cake are as seen in the picture (circled in red, green, and blue)