【正文】
?????????????ijnjjrknjjrjinjjijmiiikxyyxxxp???????????miikikmiiikkkxpxpCC11***Cost ActualCost Minimi zed?Cost Analysis 0 Efficiency Frontier of CCR model Efficiency Frontier of BCC model yx2yx1E c d e k g j i h b f P 2p1 39。2p39。139。lledunrestrictuvpvyuxvyurjikisrrjrmiijisrrkr: and 0 ,00subject toMaxim ize111?????????????????Dual Problem An Economic Interpretation Due to Michael Farrell (1957) Technical efficiency = OB/OA Capital Labour Min binations required (isoquant) A B O Other things equal = output An Economic Interpretation (Output maximisation orientation) Technical efficiency = OB/OA Output 1 (. calls) Output 2 (. lines) D C O Other things equal = inputs Max binations achieveable (production frontier) Economic Interpretation (3) ? The isoquant and production frontier are not known directly, but might be estimated from known data, using piecewise interpolation Capital Labour Min binations required (isoquant) A B O E F G H J K L B is an artificial observation a bination of F and G Allocative efficiency ? Depends on knowing prices ? AE = min cost/actual cost = OD/ OB Capital Labour Min binations required (isoquant) A B O C Efficient Isocost line D Scale efficiency Output Input O M A P Q R . = PR/PA . = PQ/PR T. = PQ/PA This is input orientation. What about output orientation? Running DEA ? Purpose built software ? Excel/Solver macros ? Organise data for input ? Identify inputs, outputs and noncontrollables ? Run ? Interpret How reliable is DEA? ? Depends on whether frontier can be populated by efficient firms: – number of observations – number of dimensions – closeness to frontier of enough firms – distribution of variables Dangers of DEA(1) Outliers appear efficient Capital Labour Min binations required (isoquant) A B O E F G H J K L B is an artificial observation a bination of F and G Dangers of DEA(2) ? Technical efficiency is not economic efficiency Output 2 (. meter reading) Max binations achieveable (production frontier) D C O B is technically efficient but economically inefficient Output 1 (. energy) B Iso value lines Dangers of DEA (3) Dilemma: to include or not to include variables ?Include = spuriously efficient ?Exclude = spuriously inefficient No wellestablished statistical test for inclusion/ exclusion