The fundamental solution to fair division between two people has been known for thousands of years since the days of Abraham and Lot and Hesiod: one divides and the other chooses. Barbanel (mathematics, Union College) presents a number of schemes that generalize from that solution to provide a finite constructive procedure by which a group of people-players in his terminology-can allocate something-a cake-among themselves in such a way that each has a strategy that ensures their own satisfaction even in the face of a conspiracy by all of the others. Recent philosophical and economic treatments of the problem are overtly normative, but even this mathematical approach is not completely devoid of value judgment.

Скачать книгу бесплатно (pdf, 5.80 Mb)

---

Читать «Geometry of Efficient Fair Division»