Generalized theory for measuring efficiency of individuals and groups

Author:

Zelenyuk ValentinORCID,Panchenko Valentyn

Abstract

AbstractWe present a cohesive generalized framework for an aggregation of the Nerlovian profit indicators and of the directional distance functions, frequently used in productivity and efficiency analysis in operations research and econometrics (e.g., via data envelopment analysis or stochastic frontier analysis). Our theoretical framework allows for greater flexibility than previous approaches, and embraces many other approaches as special cases. In the proposed aggregation scheme, the aggregation weights are mathematically derived from assumptions made about the optimization behavior and about the chosen directions of measurement. We also discuss various interesting special cases of popular directions, including the case of Debreu-Farrell-type efficiency.

Publisher

Springer Science and Business Media LLC

Subject

Management Science and Operations Research,General Decision Sciences

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