Origin and Evolution of Malmquist Productivity Index: Review of the Literature
Profilo Orcid
Pubblicato online: 11 apr 2025
Pagine: 102 - 119
DOI: https://doi.org/10.2478/ceej-2025-0007
Parole chiave
© 2025 Łukasz Brzezicki, published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.
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Assumptions of the Review
| Database | Scopus, Web of Science Core Collection, Semantic Scholar, ResearchGate.com, Academia.com, Google Scholar, search engine Google |
| Inclusion criteria |
- Papers (articles and chapters) which were written in English - Publication presenting new (theoretical assumptions) modifications and developments of the MI based on DEA methodology |
| Exclusion criteria |
- Technical reports, doctoral theses, conference presentations, unofficial documents, working papers – “grey literature”, books - Application (empirical) articles that do not present new (theoretical assumptions) modifications and developments of the MI |
| Search term used (keywords) |
(1): Malmquist index OR Malmquist Productivity Index OR Productivity Index AND (2): decomposition OR constant returns to scale OR variable returns to scale OR radial OR non-radial OR network OR two-stage OR dynamic OR window OR cost OR profit OR revenue OR allocation OR negative data OR undesirable outputs OR interval data OR fuzzy data OR non-discretionary variable OR boostrap OR stochastic OR double frontiers OR weights OR distance function |
Definitions of Different Types of Efficiency (Apart From Technical Efficiency)
| Cost efficiency (CE) | “The cost efficiency of a producer using input vector x to produce output vector y when input prices are w is measured by the ratio of minimum cost to actual cost”. |
| Allocative efficiency (AE) | “The input allocative efficiency of a producer using input vector x to produce output vector y when input prices are w is measured by the ratio of cost efficiency to input technical efficiency”. |
| Revenue efficiency (RE) | “The revenue efficiency of a producer producing output vector y with input vector x when output prices are p is measured by the ratio of maximum revenue to actual revenue”. |
| Profit efficiency (PE) | “The profit efficiency of a producer facing input prices w and output prices p is measured by the ratio of maximum profit to actual profit”. |