By Alfred Zauberman
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Extra info for Topics in Trade Coordination of Planned Economies
Example text
Barna, Structural lnterdllpandence and Economic Development, London 1963. V. Kantorovich, Ekonomicheskiy Raschet Nai/uchshego lspolzovanya Resursov, Moscow 1959. (4) J. Versluis, "Mycielsky's Decomposition Theorem", Discussion Paper No. 1, Netherlands School of Economics, Centre for Development Planning, Rotterdam August 1969. A. Afriat, "A Theorem on Shadow Prices", Econometrica, November 1973. (6) J. Mycielski, W. Piaszczynski, "A Mathematical Model of International Economic Co-operation" Proceedings of the I Scandinavian-Polish Seminar, Szczecin 1965, Warsaw (1968).
3. What follows immediately is a statement of the basic decomposition theorem as it appears in Mycielski-Piaszczynski. It is proved for a set of problems (0 ~ i ~ 1) and a "joint problem". ); the "joint" one: Aizi = pi, 0 ~zi ~bi i = 1 ,... ) do exis~, we have "Lf= 1 -- h at some t I >0 , ("-1 . ), then (I) the set of z\s i~ t~e. e. ) when the former are multiplied by the corresponding t 1,s. g181 zOi A corollary showing the implication basic for our purposes has this substance. If, for some c5, the optimal solutions z0 i, (i=1 ,...
As a result, this they concede, the indexes of direct "budgetary" efficiency of imports of different commodity groups are noncommensurable and fail to reflect in any exact way the cost of domestic production for the commodities or their substitutes. Hence correct calculation of the import efficiency calls, in each individual case, for an estimate of the imports allowance made for the cost of acquiring the required foreign currency, and of the efficiency in the use made, in the domestic economy, of the imports.