Article

Preference Conditions for Invertible Demand Functions

Details

Citation

Diasakos TM & Gerasimou G (2022) Preference Conditions for Invertible Demand Functions. American Economic Journal: Microeconomics, 14 (2), pp. 113-138. https://doi.org/10.1257/mic.20190262

Abstract
It is frequently assumed in several domains of economics that demand functions are invertible in prices. At the primitive level of preferences, however, the corresponding characterization has remained elusive. We identify necessary and sufficient conditions on a utility-maximizing consumer's preferences for her demand function to be continuous and invertible: strict convexity, strict mono-tonicity and differentiability in the sense of Rubinstein (2006). We further show that Rubinstein differ-entiability is equivalent to the indifference sets being smooth, which is weaker than Debreu's (1972) notion of preference smoothness. We finally discuss implications of our analysis for demand functions that satisfy the "strict law of demand". * We are grateful to Hugo Sonnenschein, Phil Reny and the anonymous referees for very useful comments. Any errors are our own.

Journal
American Economic Journal: Microeconomics: Volume 14, Issue 2

StatusPublished
Publication date31/05/2022
Publication date online30/04/2022
Date accepted by journal20/08/2019
URLhttp://hdl.handle.net/1893/32185
ISSN1945-7669
eISSN1945-7685

People (1)

People

Dr Theodoros Diasakos
Dr Theodoros Diasakos

Lecturer, Economics