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Cardinal revealed preference: Disentangling transitivity and consistent binary choice

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  • Aguiar, Victor H.
  • Serrano, Roberto

Abstract

We present a new notion of cardinal revealed preference that exploits the expenditure information in classical consumer theory environments with finite data. We propose a new behavioral axiom, Acyclic Enticement (AE), that requires the acyclicity of the cardinal revealed-preference relation. AE is logically independent from the Weak Axiom of Revealed Preference (WARP). We show that the Generalized Axiom of Revealed Preference (GARP), which characterizes the standard rational consumer, is logically equivalent to AE and WARP. We use our axiomatic decomposition to show, in experimental and scanner consumer-panel data sets, that AE explains the majority of the predictive success of GARP. Moreover, AE taken alone is superior in predictive success to both WARP and GARP.

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  • Aguiar, Victor H. & Serrano, Roberto, 2021. "Cardinal revealed preference: Disentangling transitivity and consistent binary choice," Journal of Mathematical Economics, Elsevier, vol. 94(C).
    • Handle: RePEc:eee:mateco:v:94:y:2021:i:c:s0304406820301397
    DOI: 10.1016/j.jmateco.2020.102462
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    2. Nail Kashaev & Victor H. Aguiar & Martin Pl'avala & Charles Gauthier, 2023. "Dynamic and Stochastic Rational Behavior," Papers 2302.04417, arXiv.org, revised Aug 2023.

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