Elluminate09-01-11

Elluminate09-01-11 - AEB 6184 ALLEN PARTIAL FOR THE CES...

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Unformatted text preview: AEB 6184 ALLEN PARTIAL FOR THE CES Elluminate - 4 Fitting the CES Function Modified Gauss-Siedel Another formulation of the Gauss-Siedel is to formulate the system as a squared-error system. For example consider the CES production function The first-order condition for each input then becomes ( 29 1 1 1 1 1 2 3 1 2 3 1 1 2 2 3 3 , , , , , , f x x x x x x ---- = + + ( 29 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 3 3 1 . y y f w w x x x x x p p ------- - = + +- Error Objective Function The objective function for the minimization problem then becomes Left to your own, prove that the first-order conditions of Q (.) yields the same conditions as the Gauss-Siedel form. ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 2 2 1 1 2 3 1 2 3 1 2 3 1 2 2 3 2 2 3 . , , , , , , , , , . . y y y f w Q f x x x y x p f f w w x p x p =- +- + - +- Sample Maxima Program...
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Elluminate09-01-11 - AEB 6184 ALLEN PARTIAL FOR THE CES...

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