What do revealed preference axioms reveal about elasticities of demand?

Arbeitspapier

It is well-known that observed data on prices and quantities of a set of goods is consistent with rational choice if the data satisfy revealed preference. In this paper, we derive estimators for demand and substitution elasticities at the observed data points for datasets satisfying the Strong version of the Strong Axiom of Revealed Preference (SSARP) from Chiappori and Rochet (1987). We find that these estimators are identified only up to a strictly positive parameter, which must be small enough that the utility function rationalizing the dataset satisfies certain properties. We show that the estimated elasticities of substitution approach zero in the limit as this parameter approaches zero. Thus, if the dataset satisfies SSARP, then it is consistent with negligible substitutability between any pair of goods at all observed data points. Our estimators are derived directly from results in Brown and Shannon (2000) and Brown and Kannan (2005).

Object Details

• Language: Englisch

References and Relationships

• Bibliographic citation: Series: IFN Working Paper ; No. 972

Classification and Topics

• Classification: Wirtschaft ; Optimization Techniques; Programming Models; Dynamic Analysis ; Consumer Economics: Empirical Analysis
• Subject: Strong Axiom of Revealed Preference ; Afriat Inequalities ; Elasticities of Demand

Contributors, Places and Time

• Event: Geistige Schöpfung
• (who): Hjertstrand, Per ; Jones, Barry E.
• Event: Veröffentlichung
• (who): Research Institute of Industrial Economics (IFN)
• (where): Stockholm
• (when): 2013

Further information

• Handle: http://hdl.handle.net/10419/95621
• Last update: 10.03.2025, 11:42 AM CET