PROFIT, DIRECTIONAL DISTANCE FUNCTIONS, AND NERLOVIAN EFFICIENCY

Citation
Rg. Chambers et al., PROFIT, DIRECTIONAL DISTANCE FUNCTIONS, AND NERLOVIAN EFFICIENCY, Journal of optimization theory and applications, 98(2), 1998, pp. 351-364
Citations number
18
Categorie Soggetti
Operatione Research & Management Science",Mathematics,"Operatione Research & Management Science
ISSN journal
00223239
Volume
98
Issue
2
Year of publication
1998
Pages
351 - 364
Database
ISI
SICI code
0022-3239(1998)98:2<351:PDDFAN>2.0.ZU;2-6
Abstract
The directional technology distance function is introduced, given an i nterpretation as a min-max, and compared with other functional represe ntations of the technology including the Shephard input and output dis tance functions and the McFadden gauge function. A dual correspondence is developed between the directional technology distance function and the profit function, and it is shown that all previous dual correspon dences are special cases of this correspondence. We then show how Nerl ovian (profit-based) efficiency measures can be computed using the dir ectional technology distance function.