2016/07/05 by Alexander Rubchinsky, Rubchinsky, Alexander
Economics, Econometrics and Finance · #Game Theory and Voting Systems
paper · pdf · doi:10.48550/arxiv.1607.02423
In the work the fair division problem for two participants in presence of both divisible and indivisible items is considered. The set of all divisions is formally described; it is demonstrated that fair (in terms of Brams and Taylor) divisions, unlikely the case where all the items are divisible, not always exist. The necessary and sufficient conditions of existence of proportional and equitable division were found.