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1dentification for finite parameter families of aug
Existence of a Real ValueAdded Function
Real valueadded and the production structure
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Appendix A.3 approximation Assumptions F.1 Cholesky factorizable closed Cobb-Douglas commodities concave continuously differentiable convex cone convex function convex hull convex set corresponding cost function defined demand functions denote Diewert distance function dual econometric economic equation estimation ex post exists F1GURE factor price frontier finite firm free disposal functional forms gauge function given Hanoch Hence Hessian matrix homogeneous function homogeneous of degree homothetic hypothesis implies input bundle input prices input requirement sets input-conventional isoquant Legendre transformation Lemma lower hemicontinuous mapping McFadden netput non-decreasing non-empty non-negative normalized profit function optimal output bundle parameters partial derivatives polar positive definite positive semidefinite positively linear homogeneous price vector production function production possibility set profit maximization Proof properties quasi-convex real symmetric relative interior restricted profit function result Rockafellar 1970 satisfies semi-bounded separable strictly positive structure Suppose symmetric matrix transformation variable yields zero