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Problem of Aggregating of an Input–Output Model and Duality

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Abstract

Based on Fenchel’s duality theorem and the Young transform, a convolution operation for technologies is constructed, which is used to study the problem of aggregating a nonlinear input–output model with concave positive homogeneous production functions.

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Funding

This work was supported by the Russian Foundation for Basic Research, project no. 20-51-15004.

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Authors and Affiliations

  1. Moscow Institute Physics and Technology (National Research University), 141701, Moscow, Russia

    A. A. Shananin

  2. Federal Research Center “Computer Science and Control,” Russian Academy of Sciences, 119333, Moscow, Russia

    A. A. Shananin

  3. Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, 119991, Moscow, Russia

    A. A. Shananin

  4. RUDN University, 117198, Moscow, Russia

    A. A. Shananin

Authors
  1. A. A. Shananin
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Correspondence to A. A. Shananin.

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Translated by I. Ruzanova

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Shananin, A.A. Problem of Aggregating of an Input–Output Model and Duality. Comput. Math. and Math. Phys. 61, 153–166 (2021). https://doi.org/10.1134/S0965542521010085

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  • DOI: https://doi.org/10.1134/S0965542521010085

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