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Journal of Economic Theory and Econometrics
Journal of the Korean Econometric Society
Utility Representation of Homothetic Preferences
Vol.37, No.2, June 2026, 23–42
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Sung Hyun Kim
(Ewha Womans University)
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Abstract
We offer an accessible proof of the existence of utility representation for continuous and homothetic preferences. When restricted to the Euclidean setting, our result is applicable to both positive and negative quantities while the standard proofs based on monotonicity are limited to the non-negative orthant. Our analysis also clarifies the roles played by key assumptions in the classic results. Our utility representation embodies an inherent asymmetry between regions of the alternatives space which may be interesting for extensions and applications.
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Keywords
Homotheticity, utility representation, monotonicity. |
JEL classification codes
C60, D11. |
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