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Статья

How to divide the indivisible

Doklady Mathematics. 2016. Vol. 94. No. 3. P. 688-691.

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.