Nonlinear Budget Set Regressions for the Random Utility Model / Sören Blomquist, Anil Kumar, Che-Yuan Liang, Whitney Newey.

Format:

Book

Author/Creator:

Blomquist, Sören.

Contributor:

National Bureau of Economic Research.

Kumar, Anil.

Liang, Che-Yuan.

Newey, Whitney.

Series:

Working Paper Series (National Bureau of Economic Research) no. w31194.

NBER working paper series no. w31194

Language:

English

Physical Description:

1 online resource: illustrations (black and white);

Place of Publication:

Cambridge, Mass. National Bureau of Economic Research 2023.

Summary:

This paper is about the nonparametric regression of a choice variable on a nonlinear budget set under utility maximization with general heterogeneity, i.e. in the random utility model (RUM). We show that utility maximization and convex budget sets make this regression three dimensional with a more parsimonious specification than previously derived. We show that nonconvexities in the budget set will have little effect on these results in important cases. We characterize all the restrictions of utility maximization on the budget set regression and show how to check these restrictions in applications. We formulate budget set effects that can be identified by this regression and give automatic debiased machine learners of these effects. We consider use of control functions to allow for endogeneity. Throughout we take as the main example the effect of taxes on taxable income including accounting for productivity growth. In an application to Swedish data we find the taxable income elasticity of a change in the slope of each segment to be .52, that the regression satisfies the restrictions of utility maximization at the values chosen for over 95% of observations, and that a productivity growth rate we estimate is close to other estimates.

Notes:

Print version record

April 2023.