Geodesic
The construction of a production function from the restriction to the simplex
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2019), pp. 3-9.

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We obtain conditions for a function defined on a standard simplex in $\mathbb R^n$, for which its $\alpha$-homogeneous extension to a nonnegative orthant has the properties of a production function (nondecreasing for all variables, concavity). We study some standard functions on a simplex for the first property.
Keywords: production function, nondecreasing, concavity.
Mots-clés : simplex 
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     author = {E. M. Bronshtein},
     title = {The construction of a production function from the restriction to the simplex},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
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     year = {2019},
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     url = {http://geodesic.mathdoc.fr/item/IVM_2019_11_a0/}
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E. M. Bronshtein. The construction of a production function from the restriction to the simplex. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2019), pp. 3-9. http://geodesic.mathdoc.fr/item/IVM_2019_11_a0/

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