Supply Chain Coordination when Demand Is Shelf-Space Dependent
Why this work is in the frame
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Bibliographic record
Abstract
Consider a manufacturer or wholesaler who supplies some item to retailers facing demand rates that depend on the shelf or display space that is devoted to that product by themselves and their competitors. The manufacturer, via the use of financial levers at her disposal, wishes to coordinate this decentralized chain while making a profit. We model the physical scenario as one of constant displayed inventory level (on which demand rate depends positively) and continuous replenishment. With a single retailer, we show that to coordinate the channel and make a profit the manufacturer needs to augment the wholesale price lever by another-an inventory holding costs subsidy offered to the retailer. When multiple retailers compete in that product's market, there are two ways to envision and model the demand and market split. One assumes that market demand depends on aggregate inventory displayed, and then splits according to individual display levels. The other “assigns” customers to retailers according to their display levels, and then assumes that purchases are a function of the display level at the retailer selected. We characterize retailers' Nash equilibria in these models, and we explore whether the manufacturer can coordinate such channels.
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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) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.001 | 0.000 |
| Scholarly communication | 0.001 | 0.002 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.005 | 0.003 |
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