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On the Problem of Optimal Fair Exchange by Kolesnikov, Alexander; Popova, Svetlana is a scholarly article available to read on EtoBox.

What is On the Problem of Optimal Fair Exchange about?

We consider the problem of optimal exchange which can be formulated as a kind of optimal transportation problem. The existence of an optimal solution and a duality theorem for the optimal exchange problem are proved in case of completely regular topological spaces. We show the connection between the problem of optimal exchange and the optimal transportation problem with density constraints. With the use of this connection we obtain a formula for the optimal value in the problem of optimal exchange.

Author

Kolesnikov, Alexander; Popova, Svetlana

Published

2024

Language

EN