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عنوان فارسی مقاله:
بازده سود چند خروجی و توابع فاصله جهت دار
عنوان انگلیسی مقاله:
Multi-output profit efficiency and directional distance functions
سال انتشار :2016
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بخشی از مقاله انگلیسی:
4. Shadow prices and duality
In the previous section, we have assumed that the empirical analyst knows the netput price vector Pt for every DMU t. In practical applications, however, reliable price information is often not available. In such a case, we can conduct efficiency analysis with endogenously defined shadow prices. In what follows, we will apply this shadow pricing idea to the multi-output profit efficiency framework set out above. Next, we will show that the resulting profit inefficiency measure (under shadow prices) has a dually equivalent representation as a multi-output directional distance function, which establishes a multi-output version of the original duality result in [7]. Shadow prices: If we do not observe the true prices that apply to each DMU t, the relevant data set becomes bS ¼ fðZ1 t ; …; ZM t Þ∣t ¼ 1; …; Tg: When only bS (instead of S) is given, we are forced to use a weakened version of the efficiency criterion in Definition 1. Specifically, we can (only) check whether there exists at least one feasible “shadow” price specification that supports profit efficiency of the evaluated DMU t. Definition 2 (Shadow profit efficiency). Let bS ¼ fðZ1 t ; …; ZM t Þ∣t ¼ 1; …; Tg be a data set. Then, DMU t is shadow profit efficient if there exist, for each output m, non-zero output-specific shadow price vectors Pbm t ¼ bp m y;t b P m x;t " #AR1þN þ such that Pbm0 t Zm t ZPbm0 t Zm s for all observations s ¼ 1; …; T. In this case, we can choose the shadow price vector Pbm t freely (except from the non-zero and non-negativity constraints). Implicitly, the shadow prices ðPbm x;tÞk for the joint inputs k define the (aggregate) DMU prices ðPbx;tÞk ¼ PM m ¼ 1 ðPbx;tÞk. Next, we note that shadow prices for the output-specific inputs can be different for different outputs, i.e. for output-specific inputs k we can have ðPbm x;tÞkaðPbm0 x;tÞk when mam0 .
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کلمات کلیدی:
Multi-output profit efficiency and directional distance functions www.sciencedirect.com/science/article/pii/S0305048315001528 by L Cherchye - 2016 - Cited by 7 - Related articles Aug 21, 2015 - This establishes a novel DEA toolkit for profit efficiency assessments in situations with multiple inputs and multiple outputs. ... We also establish a dual relationship between our multi-output profit inefficiency measure and a technical inefficiency measure that takes the form of a ... [PDF]Directional Distance Functions and Applied Economics A ... - IAMO projects.iamo.de/fileadmin/.../Faere_Grosskopf_Margaritis_Hawepa_2010.pdf by R Färe - Cited by 4 - Related articles with a discussion of the application of directional distance functions to productivity measurement. Keywords: DEA; Directional distance functions; Profit efficiency; ... Distance Functions and Efficiency Measurement - jstor https://www.jstor.org/stable/29793971 by JT PASTOR - 2010 - Cited by 3 - Related articles ratio-directional distance functions and loss distance functions. ... Key Words: Distance Functions, Data Envelopment Analysis, Efficiency Measures, Duality. 1. Measurement of Dynamic Efficiency: A Directional Distance Function ... https://www.jstor.org/stable/41240356 by T Serra - 2011 - Cited by 28 - Related articles derived based on a directional distance function and the duality between this function ... Serra, Lansink, and Ste fanou Measurement of Dynamic Efficiency 757. Directional Distance Functions and Rate-of-Return Regulation - Hindawi https://www.hindawi.com/journals/ads/2012/731497/ by J Aparicio - 2012 - Cited by 2 - Related articles May 14, 2012 - However, as far as we are aware no paper has been concerned with developing directional distance functions to measure efficiency for firms ... A metafrontier directional distance function approach to assessing eco ... https://ideas.repec.org/p/eec/wpaper/1206.html by M Beltrán-Esteve - 2012 - Cited by 41 - Related articles Downloadable! This paper uses directional distance functions to extend the non-parametric metafrontier approach to efficiency measurement proposed by ... [PDF]Dynamic Efficiency Analysis using a Directional Distance Function ageconsearch.umn.edu/bitstream/25771/1/cp060608.pdf by AO Lansink - 2006 - Related articles Dynamic Efficiency Measurement. A directional distance function approach is used to measure dynamic efficiency in the short- and long-run. Short-run efficiency ... optimal directions for directional distance functions ... - Oxford Academic https://academic.oup.com/ajae/article-pdf/97/3/920/16649749/aau035.pdf by B Hampf - 2014 - Cited by 14 - Related articles Jun 16, 2014 - nously determine optimal directions for the efficiency analysis. These directions ... tries and directional distance functions (DDF) to measure ...
