A Theory for Estimating Consumer’s Preference from Demand

Part of the Advances in Mathematical Economics book series (MATHECON, volume 19)


This study shows that if the estimate error of a demand function satisfying the weak axiom of revealed preference is sufficiently small with respect to local C1 topology, then the estimate error of the corresponding preference relation (which is possibly nontransitive, but uniquely determined from demand function, and transitive under the strong axiom) is also sufficiently small. Furthermore, we show a similar relation for the estimate error of the inverse demand function with respect to the local uniform topology. These results hold when the consumption space is the positive orthant, but are not valid in the nonnegative orthant.


Demand function Inverse demand function Integrability theory Closed convergence topology Uniform convergence topology C1 convergence topology 



We are grateful to Toru Maruyama for his helpful comments and suggestions. We would also like to express gratitude to the anonymous referee for their helpful advice.


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Copyright information

© Springer Japan 2015

Authors and Affiliations

  1. 1.Department of EconomicsKanto-Gakuin UniversityKanagawa-kenJapan

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