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Reconciling Gray and Hotelling

2006· article· en· W1935550996 on OpenAlexaff
Richard J. Brazee, L. Martin Cloutier

Bibliographic record

VenueAmerican Journal of Economics and Sociology · 2006
Typearticle
Languageen
FieldEconomics, Econometrics and Finance
TopicEconomic Growth and Productivity
Canadian institutionsUniversité du Québec à Montréal
Fundersnot available
KeywordsGray (unit)EconomicsScarcityMicroeconomicsResource (disambiguation)Value (mathematics)EconometricsMathematicsComputer scienceStatistics

Abstract

fetched live from OpenAlex

Abstract. Early exhaustible resource economics provides an important foundation for recent suggestions that firm‐level economic modeling plays a larger role in the analysis of resource scarcity. The lack of empirical support for Hotelling’s r‐percent rule, introduced in 1931, and recent suggestions that industry behavior may not be reducible to firm behaviors are the primary motivating factors for examining the relative value of Gray’s contribution to the field of exhaustible resource economics relative to Hotelling’s contribution. Specifically, Gray’s papers that appeared in the 1910s provide insight into the heterogeneity of deposits and their spatial dimensions, and offer the possibility that firms will be subject to fixed costs carried over between periods. In this paper, the arguments presented by Gray are formalized in a dynamic model, which allows the differences between Gray’s and Hotelling’s assumptions to be more fully explored. The results of the paper illustrate that by considering spatially identifiable heterogeneous deposits, fixed costs, and entry costs, in general Hotelling’s r‐percent rule is not a sufficient condition for firm‐level decision making and that firms’ extraction behavior cannot be linearly aggregated to describe industry behavior.

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

How this classification was reachedexpand

Full frame machine prediction

Teacher imitation

Not 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.

metaresearch head score (Codex)0.002
metaresearch head score (Gemma)0.011
Version: metacan-v3-hybrid-931329e0061cValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Theoretical or conceptual · Consensus signal: Theoretical or conceptual
GenreCandidate signal: Empirical · Consensus signal: Empirical
Teacher disagreement score0.008
Threshold uncertainty score0.028

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0020.011
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0010.001
Bibliometrics0.0010.001
Science and technology studies0.0010.003
Scholarly communication0.0020.003
Open science0.0010.003
Research integrity0.0010.002
Insufficient payload (model declined to judge)0.0080.001

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.

Opus teacher head0.020
GPT teacher head0.202
Teacher spread0.182 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it

Classification

machine, unvalidated

Machine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.

The models applied no category: nothing in the taxonomy fit this work.
Study designTheoretical or conceptual
Domainnot available
GenreEmpirical

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".

Quick stats

Citations8
Published2006
Admission routes1
Has abstractyes

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Same venueAmerican Journal of Economics and SociologySame topicEconomic Growth and ProductivityFrench-language works237,207