The DOI matches its Crossref record.
Benefit and Distance Functions
Open accessAbstract
Abstract We explore the relationship between R. W. Shephard's input distance function (“Cost and Production Functions,” Princeton Univ. Press, Princeton, 1953) and D. G. Luenberger's benefit function ( J. Math. Econ. 21 (1992a), 461–481). We point out that the latter can be recognized in a production context as a directional input distance function which can exhaustively characterize technologies in both price and input space. D. McFadden's (Cost, revenue, and profit functions, in “Production Economics: A Dual Approach to Theory and Applications, “North-Holland/Elsevier, New York, 1978) composition rules for input sets and input distance functions are then extended to the directional input distance function. Journal of Economic Literature Classification Numbers : D21, D24, D29.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cited by
Profit, Directional Distance Functions, and Nerlovian Efficiency
Chambers, R. G., Chung, Y., & Färe, R. (1998) · Journal of Optimization Theory and Applications · doi:10.1023/a:1022637501082 · Cited by 1,167
Self-citationNegative data in DEA: a directional distance approach applied to bank branches
Portela, M. C. A. S., Thanassoulis, E., & Simpson, G. (2004) · Journal of the Operational Research Society · doi:10.1057/palgrave.jors.2601768 · Cited by 440
Variables With Negative Values In Dea
Pastor, J. T., & Ruiz, J. L. (2007) · Modeling Data Irregularities and Structural Complexities in Data Envelopment Analysis · doi:10.1007/978-0-387-71607-7_4 · Cited by 111
Measuring efficiency of safe work environment from the perspective of the decent work Agenda
Gomes, R. F. S., Lacerda, D. P., Camanho, A. S., Piran, F. A. S., & Silva, D. O. (2023) · Safety Science · doi:10.1016/j.ssci.2023.106277 · Cited by 13
Metadata
- Authors
- Chambers, R. G., Chung, Y., & Färe, R.
- Venue
- Journal of Economic Theory
- Publisher
- Elsevier BV
- Published
- 1996-08
- Volume
- 70
- Issue
- 2
- Pages
- 407-419
- ISSN
- 0022-0531 (ISSN-L)
- OpenAlex
- W2022041746
- Cited by
- 1,408
- References
- 0
- FWCI
- 10.97
- Type
- journal article
- Language
- en
- Open access
- green
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Benefit and Distance Functions. https://app.cochat.ai/papers/10.1006/jeth.1996.0096
- The paper
- Chambers, R. G., Chung, Y., & Färe, R. (1996). Benefit and Distance Functions. Journal of Economic Theory. https://doi.org/10.1006/jeth.1996.0096
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
