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- W4300876639 abstract "We continue to study the problem of modeling of substitution of production factors motivated by the need for computable mathematical models of economics that could be used as a basis in applied developments. This problem has been studied for several decades, and several connections to complex analysis and geometry has been established. We describe several models of resource distribution and discuss the inverse problems for the generalized Radon transform arising is these models. We give a simple explicit range characterization for a particular case of the generalized Radon transform, and we apply it to show that the most popular production functions are compatible with these models. Besides, we give a necessary condition and a sufficient condition for solvability of the model identification problem in the form of an appropriate moment problem. These conditions are formulated in terms of rhombic tilings." @default.
- W4300876639 created "2022-10-04" @default.
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- W4300876639 date "2017-02-12" @default.
- W4300876639 modified "2023-09-26" @default.
- W4300876639 title "Inverse problems in models of resource distribution" @default.
- W4300876639 doi "https://doi.org/10.48550/arxiv.1702.03576" @default.
- W4300876639 hasPublicationYear "2017" @default.
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