Abstract
For a function defined on the standard simplex in ℝn, we establish conditions with which its α-homogeneous continuation to the nonnegative ortant has properties of a production function (namely, the concavity and the nondecrease in each variable). We verify the nondecreasing behavior of some standard functions on the simplex.
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References
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Funding
The work was supported by the Russian Foundation for Basic Research, grant no. 19-07-00895.
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Russian Text © The Author(s), 2019, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2019, No. 11, pp. 3–9.
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Bronshtein, E.M. The Construction of a Production Function from the Restriction to the Simplex. Russ Math. 63, 1–6 (2019). https://doi.org/10.3103/S1066369X1911001X
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DOI: https://doi.org/10.3103/S1066369X1911001X