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Journal of Mathematical Economics
Volume 28, Issue 4, November 1997, Pages 415-444
 
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doi:10.1016/S0304-4068(97)00805-7    How to Cite or Link Using DOI (Opens New Window)
Copyright © 1997 Published by Elsevier Science B.V.

Separable utility functions*1

Charalambos D. Aliprantisb, a, 1

a Departments of Mathematics and Economics, IUPUI, Indianapolis, IN 46202, USA b Department of Economics, Cornell University, Ithaca, NY 14853, USA

Available online 9 June 1998.

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Abstract

We present a necessary and sufficient condition for the norm properness of separable utility functions. The condition is illustrated with a variety of examples. The condition and the examples indicate that norm uniformly proper separable utility functions are much “closer” to linear utility functions than previously suspected.

We also take this opportunity and present in a systematic and simplified manner the basic properties of separable utility functions that are scattered in a fragmented way throughout the literature.

Author Keywords: Separability; Properness; Supportability

JEL classification codes: D51; D60; D90

Article Outline

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