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Transitivity of preferences: when does it matter?

Laurens Cherchye (), Thomas Demuynck () and Bram De Rock

Theoretical Economics, 2018, vol. 13, issue 3

Abstract: We define necessary and sufficient conditions on prices and incomes under which quantity choices can violate SARP (Strong Axiom of Revealed Preference) but not WARP (Weak Axiom of Revealed Preference). As SARP extends WARP by additionally imposing transitivity on the revealed preference relation, this effectively defines the conditions under which transitivity adds bite to the empirical analysis. For finite datasets, our characterization takes the form of a triangular condition that must hold for all three-element subsets of normalized prices, and which is easy to verify in practice. For infinite datasets, we formally establish an intuitive connection between our characterization and the concept of Hicksian aggregation. We demonstrate the practical use of our conditions through two empirical illustrations.

Keywords: Revealed preferences; warp; sarp; transitive preferences; testable implications; Hicksian aggregation (search for similar items in EconPapers)
JEL-codes: C14 D01 D11 D12 (search for similar items in EconPapers)
Date: 2018-10-04
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Related works:
Working Paper: Transitivity of preferences: When does it matter? (2018)
Working Paper: Transitivity of Preferences: When Doest it Matter ? (2015) Downloads
Working Paper: Transitivity of preferences: when does it matter? (2015) Downloads
Working Paper: Transitivity of Preferences: When Doest it Matter ?
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