How to Cut a Cake Fairly: A Generalization to Groups

• Tác giả: Erel Segal-Halevi, Warut Suksompong
• Ngôn ngữ: eng
• Ký hiệu phân loại: 512.2 Groups and group theory
• Thông tin xuất bản: 2020
• Bộ sưu tập: Báo, Tạp chí
• ID: 163820

Tóm tắt

A fundamental result in cake cutting states that for any number of players with arbitrary preferences over a cake, there exists a division of the cake such that every player receives a single contiguous piece and no player is left envious. We generalize this result by showing that it is possible to partition the players into groups of any desired sizes and divide the cake among the groups, so that each group receives a single contiguous piece and no player finds the piece of another group better than that of the player's own group.