A Mathematical Approach to Evaluating Managerial Skills: Economic Cybernetics and the Convex Operational Field
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Bibliographic record
Abstract
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.
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Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it