We consider n parties with n corresponding utility functions, denoted by u<sub>1</sub>,…,u<sub>n</sub>. Given a positive amount of money C, a fair split of C is a vector (c<sub>1</sub>,…,c<sub>n</sub>)∈R<sup>n</sup> such that c<sub>1</sub> ⋯ c<sub>n</sub>=C and u<sub>1</sub>(c<sub>1</sub>) = u<sub>2</sub>(c<sub>2</sub>) = ⋯ = u<sub>n</sub>(c<sub>n</sub>). In this paper we show the existence and uniqueness of a fair split to...
