Mathematical theory of geometric Koopmans model
Trudy Instituta matematiki, Tome 23 (2015) no. 2, pp. 43-55

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Geometrical Koopmans' model $W$ of economic systems deals with effective techlogical processes and optimal estimates of these processes. Methods of Convex Analysis allow to clarify the relations between effective techlogical processes and their optimal estimates in terms of tangent nonnegative vectors to the boundary $\partial W$ of the set $W$.
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P. P. Zabreiko. Mathematical theory of geometric Koopmans model. Trudy Instituta matematiki, Tome 23 (2015) no. 2, pp. 43-55. http://geodesic.mathdoc.fr/item/TIMB_2015_23_2_a5/