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The Empirical Content of Binary Choice Models

Debopam Bhattacharya

Papers from arXiv.org

Abstract: An important goal of empirical demand analysis is choice and welfare prediction on counterfactual budget sets arising from potential policy-interventions. Such predictions are more credible when made without arbitrary functional-form/distributional assumptions, and instead based solely on economic rationality, i.e. that choice is consistent with utility maximization by a heterogeneous population. This paper investigates nonparametric economic rationality in the empirically important context of binary choice. We show that under general unobserved heterogeneity, economic rationality 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.

Date: 2019-02, Revised 2020-10
New Economics Papers: this item is included in nep-dcm and nep-upt
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http://arxiv.org/pdf/1902.11012 Latest version (application/pdf)

Related works:
Journal Article: The Empirical Content of Binary Choice Models (2021) Downloads
Working Paper: The Empirical Content of Binary Choice Models (2018) Downloads
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