Diffuse Bunching with Frictions: Theory and Estimation

Working Paper: CEPR ID: DP17612

Authors: Santosh Anagol; Allan Davids; Benjamin Lockwood; Tarun Ramadorai

Abstract: We incorporate a model of frictions into the bunching-based elasticity estimator to rationalize diffuse bunching around kinks and mass above notches in empirical distributions. Model agents draw a sparse set of opportunities from a Poisson process, approximating a broad class of frictions including search costs, inattention, and lumpy adjustment; the predicted density depends on the standard structural elasticity and a money-metric “lumpiness parameter.” We estimate the model using administrative tax data on South African small-businesses, recovering moderate elasticities of taxable income between 0.2 and 0.3 at higher incomes, and larger elasticities at low incomes. Firms appear to treat the bottom kink as a notch, and firms with paid tax practitioners exhibit sharper bunching, driven primarily by lower frictions rather than a higher elasticity.

Keywords: Elasticity of Taxable Income; Tax Sparsity; South Africa; Lumpy Adjustment; Diffuse Bunching; Optimization Frictions; Small Business

JEL Codes: D22; H20; H25; H30; O55


Causal Claims Network Graph

Edges that are evidenced by causal inference methods are in orange, and the rest are in light blue.


Causal Claims

CauseEffect
Frictions (search costs, inattention, lumpy adjustment) (D83)diffuse bunching of taxable income around tax kinks (H31)
Higher frictions (F12)greater diffuse bunching (F12)
Frictions (F16)underestimation of elasticity of taxable income (H31)
Firms with paid tax practitioners (L84)sharper bunching (D43)
Lower frictions (F12)more precise income targeting (E25)

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