Abstract
In this paper, we solved the problem of applied mathematics connecting with maximizing the profit of a cellular operator under the assumption of a price duopoly with nonlinear demand functions. The conditions for the existence of an equilibrium in the value-added services market are considered. Response curves of duopolies were found explicitly, their properties were investigated. The results of the practical implementation of the developed theoretical models were presented on the example of the interactive voice services taking into account the obtained estimates of the coefficients for the empirical demand functions for the services of two leading cellular operators.
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