New PDF release: An Inter-Industry Translog Model of Prices and Technical
By Dr. Shinichiro Nakamura (auth.)
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Additional info for An Inter-Industry Translog Model of Prices and Technical Change for the West German Economy
X. J J J J $; J p. x. Tz. z. J J J J $; PJ.. TXXmJ' XX . 28b) max [H . TXX ej eJ XX . eJ eJ eJ T ( 2 • 2. 2 8 c) max [H . , t) I PP sj XX sj XX,. T maxl h .. ( X .. ,t) I p1 X .. 1J 1J X .. ·x sJ sj pp .. ·xx .. 1J 1J I ], ] I ], j EI I j E I, j EI I i,j E1. 27), Z. , are used as J nJ parameters in the third stage optimization problem. For the formulation of the three stage procedure itself weak separability of f. with respect to Nand N is necessary J and sufficient (Blackorby et al. 2). 26). 25) are necessary and sufficient for the consistency of the three stage optimization procedure.
2). 2 Partition of AES (cr .. J The numbers in the first column and row refer to the numbers identifying 2n+2 inputs and the numbers inside the squares refer to the numbers identifying groups. 2. 13f) C5 o ,ik C5 o 0,1 = C5 = C5 'v'i,j EN r' 'v'k EN s' r " s, jk' 'v'i,j EN r' 'v'k ENs' r E Ie, s E IS, ,jk' 'v'i,j E Nr , 'v'k ENs' r " s, 0, C5 o r , s E Ie, ,jk' 0, jk' 'v'i, j E NO, 'v'k E Nk U NI , r , s E IS, o E 1. 13a) refers to AES in Group 2, and reduces the num~ m (m ~ 1) ber of free AES in the group from 2m(m ~ 1) to 2 .
22a) Gsj(PPsj,t) = x - ~ 'min L pp . Txx . H . , t) SJ xx. sJ sJ sJ sJ SJ X sj > 0, j E I, ~ x . ] , SJ where pp sj = (PPm+ e +1 j' ... 'PPnj)' xX sj = (xxm+ e + 1 j' ... ,xxnj ) , and conversely from G . we can derive H . 2. 22b) Hsj ( XXsj,t ) = max x . L x sJ. GsJ. (PP sJ. ,t)·x sJ. TXX sJ. ] ' sJ j E 1. 23) p. J from ( 2 . 2. 15) , from ( 2 . 2 . 1 7), ( 2 • 2. 19), and (2. 2 . 21 ), j E I. , that is, from F. we can derive Q. ,t) J J J = J r . T Z. -1 'm~nLV, J Z. x j VjTZ j ], ] j E I. 1.
An Inter-Industry Translog Model of Prices and Technical Change for the West German Economy by Dr. Shinichiro Nakamura (auth.)