The production technology is usually represented in the quantity space by production sets, or by production functions and correspondences. Shephard [4] showed that in many cases production functions can be obtained from cost functions of a given technology and Uzawa [6] argued the 1–1 correspondence between these production functions and cost functions. These results have been generalized to production correspondences by Shephard [5]. He also showed that there exists a dual relation between cost structures (resp. output revenue structures) in the price space and production-input structures (resp. production-output structures) in the quantity space.
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