Quasi-Concavity, Hessian, and Kuhn-Tucker Conditions
Apply matrices, Jacobian, quasi-concavity, Hessian, Kuhn-Tucker conditions
1. (a) Given that ƒ(x, y, u, v) = 0 and g(x, y, u, v) = 0, determine ∂u/∂x, ∂u/∂y, and ∂v/∂y.
(b) Given that u = ƒ(x,y) and v = g(x,y), prove that there exists a functional relationship between u and v of the form ø(u,v) = 0 if and only if the Jacobian ∂(u,v)/∂(x,y) is identically zero.
© BrainMass Inc. brainmass.com June 7, 2023, 2:26 pm ad1c9bdddfhttps://brainmass.com/economics/principles-of-mathematical-economics/quasi-concavity-hessian-kuhn-tucker-conditions-11405
Solution Summary
Cramer's rule is applied. A Quasi-concavity, Hessian, and Kuhn-Tucker conditions are analyzed.
Free BrainMass Quizzes
-
This quiz reviews the basic concept of supply and demand analysis.
-
Discussion about various pricing techniques of profit-seeking firms.
-
Quiz will help you to review some basics of microeconomics and macroeconomics which are often not understood.
-
Economics, Basic Concepts, Demand-Supply-Equilibrium
The quiz tests the basic concepts of demand, supply, and equilibrium in a free market.
-
This quiz provides a review of the basic microeconomic concepts. Students can test their understanding of major economic issues.