Geodesic
A priori estimates of the maximal utility in Slutskii’s theory
Contemporary Mathematics and Its Applications, Tome 95 (2015), pp. 77-82

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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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     author = {Yu. Ya. Agranovich and N. V. Kontsevaya and V. L. Khatskevich},
     title = {A priori estimates of the maximal utility in {Slutskii{\textquoteright}s} theory},
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Yu. Ya. Agranovich; N. V. Kontsevaya; V. L. Khatskevich. A priori estimates of the maximal utility in Slutskii’s theory. Contemporary Mathematics and Its Applications, Tome 95 (2015), pp. 77-82. http://geodesic.mathdoc.fr/item/CMA_2015_95_a7/