Production Economics: A Dual Approach to Theory and Applications, Volume 110Melvyn A. Fuss, Daniel McFadden |
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Appendix A.3 Assumptions F.1 Chapter I.1 Cholesky factorizable closed Cobb-Douglas commodities concave cone continuously differentiable convex cone convex set corresponding cost function cost minimizing defined demand functions denote Diewert distance function dual econometric economic equation estimation ex ante ex post exists finite firm functional forms gauge function given H z,x Hanoch Hence Hessian matrix homogeneous function homogeneous of degree homothetic hypothesis implies input bundle input prices input requirement sets input-conventional intr isoquant Jorgenson Legendre transformation Lemma linear profit mapping McFadden netput non-decreasing non-empty non-negative normalized profit function optimal output bundle parameters partial derivatives positive definite positive semidefinite price vector production function production possibility set profit form profit maximization Proof properties quasi-convex real symmetric relative interior restricted profit function result Rockafellar 1970 satisfies semi-bounded separable strictly structure Suppose symmetric matrix transformation variable X₁ yields zero