On the shape of the single-country and world commodity-substitution and factor-substitution surfaces under conditions of joint production |
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| Authors: | Murray C. Kemp Richard Manning Kazuo Nishimura Makoto Tawada |
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| Affiliation: | University of New South Wales, Kensington, N.S.W. 2033, Australia;University of Canterbury, Christchurch, New Zealand;Tokyo Metropolitan University, Tokyo, Japan;University of New South Wales, Kensington, N.S.W. 2033, Australia |
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| Abstract: | In recent years trade theorists have completed the task of specifying necessary and sufficient conditions for the single-country and world transformation surfaces to be locally of any assigned degree of flatness. However those conditions are relevant only if the technology is of the no-joint-products type. In the present note we derive necessary and sufficient conditions for the single-country and world transformation surfaces to be of any assigned degree of flatness under conditions of joint production; and we also obtain, as a by-product, necessary and sufficient conditions for the single-country and world equal-product surfaces to be of any assigned degree of flatness. |
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