Integration of minimax models and technological growth theory to analyze the interaction between IT companies and clients

the article proposes a methodology for analyzing the interaction between IT companies and their clients under conditions of uncertainty, integrating minimax models, the theory of technological growth, and quantitative risk assessment through a parametric configuration of threats. The methodology accounts for the dynamics of technological progress (via a production function incorporating capital, labor, and technology factors), the conflicting interests of the parties (maximizing company profit versus minimizing client risks), and quantitative risk assessment with the identification of critical thresholds for both the company and the client (e.g., maximum service price, minimum quality, trust level, and security investments). Monte Carlo simulations were applied to data from an IT company developing DevSecOps solutions, enabling a quantitative evaluation of the impact of initial conditions on final outcomes. The study contributes to advancing game theory and strategic analysis for the IT market, where the balance between technological progress, security, and competition determines corporate success. The practical significance lies in optimizing R&D investments, pricing strategies, risk management through monitoring threat-configuration parameters, and selecting reliable partners. The methodology can be adapted for industries with critical requirements for security and client interaction (e.g., healthcare, logistics) and may incorporate considerations of macroeconomic shocks and stochastic factors.

minimax models, firm model, technological growth, production function, risk management, IT companies