Anatomy of CES Production/Utility Functions in Three Dimensions

Peter Fuleky
Department of Economics, University of Washington

October 2006


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.

The Anatomy of CES Production/Utility Functions in 3D, or any part thereof, may not be used as part of a document distributed for a commercial purpose.