Pseudomonotone variational inequality in action: Case of the French dairy industrial network dynamics
Bibliographic record
Abstract
A pseudomonotone operator serves to study the dynamic network equilibrium of the French dairy industry. Using a modified variational inequality model, which is based on the price variations, we reverse the typical problem formulation and claim that the absence of synchronization between the variations, which also need to be proportionate, is what causes the network disequilibrium. Provided the pseudomonotonicity of the mapping, the solution of the variational inequality problem also happens to be a fixed point. The model outputs show that the economic viability of the upstream agents is in conflict with the overall network equilibrium. The results further suggest that increasing the threshold of resale-below-cost should enlarge the asynchronicity between the upstream and instream price adjustments, which is problematic because the price variations are already asymmetric at the levels of upstream and downstream layers. The best path toward the network equilibrium would go by carrying out a further integration of the upstream layer.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.003 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.001 | 0.002 |
| Scholarly communication | 0.002 | 0.001 |
| Open science | 0.001 | 0.002 |
| Research integrity | 0.002 | 0.001 |
| Insufficient payload (model declined to judge) | 0.004 | 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 source (direct Gemma or distilled Codex), 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".