An Econophysical Approach for the Market Structure Determination of an Industry: An Extension of Robert Bishops Formula
Bibliographic record
Abstract
A precise understanding of the market structure of an industry forms the basis for any entrepreneurial decisions.The combination of Bishop's cross-price elasticity of demand and price elasticity of demand forms the mathematical basis for determining the market structure.However, these formulas are time-independent, which does not adequately capture the complex dynamics of today's economy.This paper attempts a systemic dynamic extension of the cross-price elasticity of demand and the price elasticity of demand by adding a temporal dimension to these formulas.This ensures that entrepreneurial and industry-specific decisions can be made more accurately by following a system-dynamic approach.This paper provides a methodological extension based on Estola's econophysical theory and combining it with Bishop's approach for determining the market structure of an industry.Econophysics ensures that the temporal dimension is taken into account in economic formulas and therefore providing a more accurate view on current economic issues.
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How this classification was reachedexpand
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 | 0.001 |
| 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 itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".