SFB 303 Discussion Paper No. A - 166
Author: Jerison, David, and Michael Jerison
Title: Approximate Slutsky Conditions
Abstract: We define measures of violations of Slutsky symmetry and negative semidefiniteness and relate them to
measures of revealed preference inconsistencies exhibited by nonoptimizing demand behavior. The degree of
Slutsky asymmetry is shown to restrict the rate at which real income can rise everywhere along a closed loop in
income and price space. The largest eigenvalue of the quadratic form of the Slutsky matrix is used to bound
violations of the weak axiom. The sizes of the violations of either Slutsky condition are used to bound the
distance between the given demand function and approximating functions that satisfy that Slutsky condition
exactly.
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Creation-Date: March 1988
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