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The Empirical Content of Binary Choice Models

Debopam Bhattacharya

Cambridge Working Papers in Economics from Faculty of Economics, University of Cambridge

Abstract: Empirical demand models used for counterfactual predictions and welfare analysis must be rationalizable, i.e. theoretically consistent with utility maximization by heterogeneous consumers. We show that for binary choice under general unobserved heterogeneity, rationalizability is equivalent to a pair of Slutsky-like shape-restrictions on choice-probability functions.The forms of these restrictions differ from Slutsky-inequalities for continuous goods. Unlike McFadden-Richter's stochastic revealed preference, our shape-restrictions (a) are global, i.e. their forms do not depend on which and how many budget-sets are observed, (b) are closed-form, hence easy to impose on parametric/semi/non-parametric models in practical applications, and (c) provide computationally simple, theory-consistent bounds on demand and welfare predictions on counterfactual budget-sets.

Keywords: Binary choice; general heterogeneity; income effect; utility maximization; integrability/rationalizability; Slutsky inequality; shape-restrictions (search for similar items in EconPapers)
JEL-codes: C14 C25 D12 (search for similar items in EconPapers)
Date: 2018-11-12
Note: db692
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Related works:
Journal Article: The Empirical Content of Binary Choice Models (2021) Downloads
Working Paper: The Empirical Content of Binary Choice Models (2020) Downloads
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