A global non-linear extension of the Le Chatelier-Samuelson Principle for linear Leontief models |
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Authors: | IW Sandberg |
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Institution: | Bell Telephone Laboratories, Incorporated, Murray Hill, New Jersey 07974 USA |
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Abstract: | The extension is concerned with non-linear mappings A(·) which map the space of n-vectors of total gross outputs into the space of n-vectors of final demands. Roughly speaking, it is shown that, if throughout the non-negative orthant the Jacobian matrix of A(·) is of the Leontief type and satisfies the Hawkins-Simon condition, and if A(·) satisfies a certain other condition, then propositions of a global nature entirely analogous to the Le Chatelier-Samuelson Principle in both the weak and strong forms for linear Leontief systems are valid for A(·). |
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