Non-transitive Smooth Preferences

Nabil Al-Najjar

doi:10.1006/jeth.1993.1033

Non-transitive Smooth Preferences

Nabil Al-Najjar^*

^*Corresponding author for this work

Managerial Economics, Decision Sciences and Operations

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

A new class of smooth preference relations that contains G. Debreu′s Smooth Preferences (Econometrica40, 1972, 603-615) as a closed and nowhere dense subset is defined. Every preference in this class, which we call Non-transitive Smooth Preferences (P¹), generates a smooth demand function that satisfies the Weak Axiom and a number of other properties. We characterize the set of demand functions generated by P¹ and prove that it is an open subset of the space of smooth demand functions. Journal of Economic Literature Classification Numbers: C60, D11.

Original language	English (US)
Pages (from-to)	14-41
Number of pages	28
Journal	Journal of Economic Theory
Volume	60
Issue number	1
DOIs	https://doi.org/10.1006/jeth.1993.1033
State	Published - Jun 1993

ASJC Scopus subject areas

Economics and Econometrics

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10.1006/jeth.1993.1033

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Non-transitive Smooth Preferences

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