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Record W1972559425 · doi:10.1016/j.anihpc.2005.10.001

An inverse problem in the economic theory of demand

2005· article· en· W1972559425 on OpenAlex
Ivar Ekeland, Ngalla Djitté

Why this work is in the frame

A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.

affAt least one author lists a Canadian institution in the pinned OpenAlex snapshot.

Bibliographic record

VenueAnnales de l Institut Henri Poincaré C Analyse Non Linéaire · 2005
Typearticle
Languageen
FieldSocial Sciences
TopicGender, Labor, and Family Dynamics
Canadian institutionsUniversity of British Columbia
Fundersnot available
KeywordsInverse demand functionEconomicsMathematical economicsNeoclassical economicsMicroeconomicsDemand curve

Abstract

fetched live from OpenAlex

Given an exchange economy consisting of k consumers, there is an associated collective demand function, which is the sum of the individual demand functions. It maps the price system p to a goods bundle x(p) . Conversely, given a map p\rightarrow x(p) , it is natural to ask whether it is the collective demand function of a market economy. We answer that question in the case when k is less than the number of goods n . The proof relies on finding convex solutions to a strongly nonlinear system of partial differential equations. Résumé La fonction de demande agrégée d'une société composée de k individus résulte de la sommation de k fonctions de demandes individuelles. Elle fait correspondre à un système de prix p , un vecteur de biens x(p) . Inversement, étant donnée une fonction p\rightarrow x(p) , est-elle une fonction de demande agrégée ? Nous apporterons une réponse à cette question dans le cas où il y a moins de consommateurs que de biens.

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.

Full frame distilled prediction

Teacher imitation

Not 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.

metaresearch head score (Codex)0.003
metaresearch head score (Gemma)0.000
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Observational · Consensus signal: none
GenreCandidate signal: Empirical · Consensus signal: Empirical
Teacher disagreement score0.161
Threshold uncertainty score0.930

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0030.000
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.000
Science and technology studies0.0000.001
Scholarly communication0.0000.001
Open science0.0010.000
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0000.000

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.

Opus teacher head0.024
GPT teacher head0.296
Teacher spread0.272 · 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