Abstract

Yildiz (2016a) proposes a novel tool, namely choice regularities, to classify choice theories according to the syntactic structure of the underlying choice axioms. We focus on the regularity of the SARP-like acyclicity requirements. Axiomatic characterizations of many choice theories contain conditions formulated in the vein of the strong axiom of revealed preference (SARP), such as Masatlioglu et al. (2012)and Yildiz (2016b), in which a binary relation –based on the observed choice behavior– is formulated and its acyclicity is required. We focus on the regularity of the SARP-like acyclicity requirements. For those binary relations that can be represented in a specific form, we find an upper bound on the degree of the free regularities that impose the binary relation to be acyclic.

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