Please use this identifier to cite or link to this item: http://hdl.handle.net/1893/32932
Appears in Collections:Economics Working Papers
Title: Preference Conditions for Invertible Demand Functions
Author(s): Diasakos, Theodoros M
Gerasimou, Georgios
Contact Email: theodoros.diasakos@stir.ac.uk
Citation: Diasakos TM & Gerasimou G (2020) Preference Conditions for Invertible Demand Functions. School of Economics and Finance Discussion Papers, 1708. https://www.st-andrews.ac.uk/~wwwecon/repecfiles/4/1708.pdf
Issue Date: 20-Aug-2020
Date Deposited: 30-Sep-2020
Series/Report no.: School of Economics and Finance Discussion Papers, 1708
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.
Type: Working Paper
URI: http://hdl.handle.net/1893/32932
URL: https://www.st-andrews.ac.uk/~wwwecon/repecfiles/4/1708.pdf
Rights: Authors retain copyright. Proper attribution of authorship and correct citation details should be given.
Affiliation: Economics
University of St Andrews
Licence URL(s): https://storre.stir.ac.uk/STORREEndUserLicence.pdf

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