How to divide the indivisible
- Authors: Blank M.L.1,2
-
Affiliations:
- Institute for Information Transmission Problems
- National Research University Higher School of Economics
- Issue: Vol 94, No 3 (2016)
- Pages: 688-691
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/224618
- DOI: https://doi.org/10.1134/S1064562416060272
- ID: 224618
Cite item
Abstract
A novel approach to the fair division problem is proposed, which is based on the concept of a priori estimates and ideas of dynamical systems theory. For several problems on the division of a resource with discrete components, this approach leads to explicit constructive solutions in cases for which even the existence of solutions has not been previously known.
About the authors
M. L. Blank
Institute for Information Transmission Problems; National Research University Higher School of Economics
Author for correspondence.
Email: blank@iitp.ru
Russian Federation, Bol’shoi Karetnyi per. 19, Moscow, 127994; Myasnitskaya ul. 20, Moscow, 101000