The Production Responses of the Competitive Firm to Three Conventional Distributional Shifts: a Unified Perspective
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Bibliographic record
Abstract
This paper presents a unified perspective on the production responses of the competitive firm to three conventional distributional shifts: (i) a rightward shift of the distribution, (ii) a Rothschild–Stiglitz increase in risk, and (iii) a Menezes et al. increase in downside risk. In particular, assuming that the von Neumann–Morgenstern utility is increasing and concave, and assuming its higher‐order derivatives are uniformly signed, we demonstrate that the production responses are unambiguous in the case of price less than or equal to marginal cost. In the alternative case of price greater than marginal cost, we then demonstrate that the production responses can be signed unambiguously by reference to sufficient conditions motivated by absolute risk aversion and by absolute prudence.
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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) | 0.001 | 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