Anatomy of C-D Production/Utility Functions in Three Dimensions

Decreasing returns to scale

(Strongly concave production/utility function)

Constant returns to scale

(Weakly concave production/utility function)

Increasing returns to scale with diminishing marginal product/utility

(Quasiconcave production/utility function)

Increasing returns to scale with constant marginal product/utility

(Quasiconcave production/utility function)

Increasing returns to scale with increasing marginal product/utility

(Quasiconcave production/utility function)

Non-symmetric production/utility function with constant returns to scale

Non-symmetric production/utility function with increasing returns to scale

Profit maximization: production function with decreasing returns to scale

Profit maximization: production function with constant returns to scale

Utility maximization: utility function with decreasing returns to scale

Utility maximization: utility function with increasing returns to scale

Expenditure minimization: utility function with constant returns to scale

Literature and further reading:

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

MATLAB Documentation, MathWorks

Anatomy of CES Functions in 3D

Printable version of this document (.pdf format)

How to cite: Fuleky, P. (2006). Anatomy of a Cobb-Douglas Type Production/Utility Function in Three Dimensions. Mimeo, University of Washington, September 2006.

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