A Priori Estimates of the Maximal Utility in Slutskii’s Theory


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In this paper, we examine stability conditions of stationary points of a dynamical system in an example of simulation of utility functions that determine a control mechanism of purchasing goods. Applying the minimization method for projections of subtangents (the subtangential method) at points of the dynamical curve on the utility axis, we propose a method of determining the restrictions on goods, which is most convenient in the control context.

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Yu. Agranovich

Voronezh State Technical University

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Email: AgyryaYY@yandex.ru
俄罗斯联邦, Voronezh

V. Khatskevich

Voronezh State University

Email: AgyryaYY@yandex.ru
俄罗斯联邦, Voronezh

N. Kontsevaya

Financial University under the Government of the Russian Federation

Email: AgyryaYY@yandex.ru
俄罗斯联邦, Moscow

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