Strict convexity of the objective function and uniqueness of the maximum point in a model with three arbitrary random prioritiesстатьяИсследовательская статья
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Аннотация:The main result of this paper is the proof of the strict concavity of some function ofintegral form depending on three random variables, which we call priorities. This function is anobjective function in the so-called model with priorities, in which the arbiter, following expertopinions, distributes funds among the enterprises and institutions under his jurisdiction. Thisresult implies an important corollary about the existence and uniqueness of a local maximumpoint (which is also a global maximum point) of the objective function. This is a significantgeneralization of the corresponding result of N.V. Neumezhitskaia, S.I. Uglich and T.A.Volosatova, published in December 2020