Fair Cake-Cutting among Families

Understand

We study the fair division of a continuous resource, such as a land-estate or a time-interval, among pre-specified groups of agents, such as families.

• Each family is given a piece of the resource and this piece is used simultaneously by all family members, while different members may have different value functions.
• Three ways to assess the fairness of such a division are examined.
• (a) Average Fairness means that each family's share is fair according to the "family value function", defined as the arithmetic mean of the value functions of the family members.