Anatomy of CES Production/Utility Functions in Three Dimensions

Decreasing returns to scale: r=0.5

(Strongly concave production/utility function)

Increasing returns to scale: r=1.5

(Quasiconcave production/utility function)

Constant returns to scale: r=1

(Weakly concave production/utility function)

Constant returns to scale with asymmetric weighting: r=1, lambda=0.8

(Weakly concave production/utility function)

Constant returns to scale with asymmetric productivity/utility: r=1, T=2

(Weakly concave production/utility function)

Literature and further reading:

The Structure of Economics, 3rd ed., Eugene Silberberg

MATLAB Documentation, MathWorks

Anatomy of Cobb-Douglas Functions in 3D

Printable version of this document (.pdf format)

How to cite: Fuleky, P. (2006). Anatomy of a Constant Elasticity of Substitution Type Production/Utility Function in Three Dimensions. Mimeo, University of Washington, October 2006.

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