A priori estimates of the maximal utility in Slutskii’s theory

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.