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Young Duality and Aggregation of Balances

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Abstract

An operation generalizing convolution is introduced using the Young transform and Fenchel’s duality theorem. Based on this operation, an aggregation procedure for a nonlinear input–output model with concave positively homogeneous production functions is proposed.

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REFERENCES

  1. D. Acemoglu, A. Ozdaglar, and A. Tahbaz-Salehi, Econometrica 80 (5), 1977–2016 (2012).

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Funding

This work was supported by the Russian Science Foundation, project no. 16-01-10246.

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Authors and Affiliations

  1. Moscow Institute Physics and Technology (National Research University), 141700, 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. Young Duality and Aggregation of Balances. Dokl. Math. 102, 330–333 (2020). https://doi.org/10.1134/S1064562420040171

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  • DOI: https://doi.org/10.1134/S1064562420040171

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