A Mathematical Approach to Evaluating Managerial Skills: Economic Cybernetics and the Convex Operational Field

This paper presents a novel methodology for quantifying managerial competence through the lens of economic cybernetics.The proposed model is premised on the definition of a convex operational field, wherein the limiting economic conditions are delineated by operational management (MO), strategic management (MS), and predictive management (MP) skills.Any given point (representative of an economic situation) within this convex operational field is attributed to a successful manager, whose leadership abilities are proportionally expressed depending on their position.It is posited that the adeptness of a successful manager inherently shapes the criterion function, while the boundaries of the convex operational field define the specifications of this function.The convex operational field is examined through two lenses: the identification of managerial skills and the calculation of the elasticity coefficient.The case study presents the convex operational field as defined by the economic conditions of MO, MS, and MP.This analysis can be applied to both linear and non-linear programming, thereby providing avenues for the application of advanced mathematical methodologies in resolving economic and managerial challenges.