Problem of Aggregating of an Input–Output Model and Duality

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. © 2021, Pleiades Publishing, Ltd.

Authors
Shananin A.A. 1, 2, 3, 4
Journal
Computational Mathematics and Mathematical Physics
Number of issue
1
Language
English
Pages
153-166
Status
Published
Link
External link
DOI
10.1134/S0965542521010085
Volume
61
Year
2021
Organizations
  • 1 Moscow Institute Physics and Technology (National Research University), Moscow, 141701, Russian Federation
  • 2 Federal Research Center “Computer Science and Control,” Russian Academy of Sciences, Moscow, 119333, Russian Federation
  • 3 Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, Moscow, 119991, Russian Federation
  • 4 RUDN University, Moscow, 117198, Russian Federation
Keywords
aggregation; elasticity of substitution; Fenchel duality; input–output model; Lagrange multipliers; production function; productivity; Young transform
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