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Nonparametric Estimation with Nonlinear Budget Sets

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Author Info
Soren Blomquist () (Uppsala University, Sweden)
Whitney Newey () (MIT)
Abstract

Choice models with nonlinear budget sets provide a precise way of accounting for the nonlinear tax structures present in many applications. In this paper we propose a nonparametric approach to estimation of these models. The basic idea is to think of the choice, in our case hours of labor supply, as being a function of the entire budget set. Then we can do nonparametric regression where the variable in the regression is the budget set. We reduce the dimensionality of this problem by exploiting structure implied by utility maximization with piecewise linear convex budget sets. This structure leads to estimators where the number of segments can differ across observations and does not affect accuracy. We give consistency and asymptotic normality results for these estimators. The usefulness of the estimator is demonstrated in an empirical example, where we find it has a large impact on estimated effects of the Swedish tax reform. Copyright The Econometric Society 2002.

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Article provided by Econometric Society in its journal Econometrica.

Volume (Year): 70 (2002)
Issue (Month): 6 (November)
Pages: 2455-2480
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Handle: RePEc:ecm:emetrp:v:70:y:2002:i:6:p:2455-2480

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  1. Christophe Muller, 2003. "Female Activity Choice In A Dual Context: An Integrated Model For Formal And Informal Sectors In Cameroon," Working Papers. Serie AD 2003-39, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie). [Downloadable!]
  2. Michiel Evers & Ruud de Mooij & Daniel J. van Vuuren, 2005. "What Explains the Variation in Estimates of Labour Supply Elasticities?," CESifo Working Paper Series CESifo Working Paper No. , CESifo Group Munich. [Downloadable!]
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  3. Blomquist, Sören & Selin, Håkan, 2008. "Hourly Wage Rate and Taxable Labor Income Responsiveness to Changes in Marginal Tax Rates," Working Paper Series 2008:16, Uppsala University, Department of Economics. [Downloadable!]
    Other versions:
  4. Dagsvik, John K. & Strøm, Steinar, 2004. "Sectoral labor supply, choice restrictions and functional form," Memorandum 13/2004, Oslo University, Department of Economics. [Downloadable!]
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  5. Reiss, Peter C. & White, Matthew W., 2002. "Household Electricity Demand, Revisited," Research Papers 1830, Stanford University, Graduate School of Business. [Downloadable!]
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  6. Gary V. Engelhardt & Anil Kumar, 2008. "The elasticity of intertemporal substitution: new evidence from 401(k) participation," Working Papers 0812, Federal Reserve Bank of Dallas. [Downloadable!]
  7. Olivier Bargain, 2004. "On modeling household labor supply with taxation," DELTA Working Papers 2004-14, DELTA (Ecole normale supérieure). [Downloadable!]
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  8. Michiel Evers & Ruud Mooij & Daniel Vuuren, 2008. "The Wage Elasticity of Labour Supply: A Synthesis of Empirical Estimates," De Economist, Springer, vol. 156(1), pages 25-43, March. [Downloadable!] (restricted)
  9. Peter C. Reiss & Matthew W. White, 2001. "Household Electricity Demand, Revisited," NBER Working Papers 8687, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  10. Anil Kumar, 2005. "Nonparametric estimation of the impact of taxes on female labor supply," Working Papers 05-05, Federal Reserve Bank of Dallas. [Downloadable!]
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