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How to Use One Instrument to Identify Two Elasticities

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  • Evelina Gavrilova
  • Floris Zoutman
  • Arnt Ove Hopland

Abstract

We show that an insight from taxation theory allows identification of both the supply and demand elasticities with only one instrument. Ramsey (1928) and subsequent models of taxation assume that a tax levied on the demand side only affects demand through the price after taxation. Econometrically, we show that this assumption functions as an additional exclusion restriction. Under the Ramsey Exclusion Restriction (RER) a tax reform can serve to simultaneously identify elasticities of supply and demand. We develop a TSLS estimator for both elasticities, a test to assess instrument strength and a test for the RER. Our result extends to a supply-demand system with J goods, and a setting with supply-side or non-linear taxes. Further, we show that key results in the sufficient statistics literature rely on the RER. One example is Harberger’s formula for the excess burden of a tax. We apply our method to the Norwegian labor market.

Suggested Citation

  • Evelina Gavrilova & Floris Zoutman & Arnt Ove Hopland, 2017. "How to Use One Instrument to Identify Two Elasticities," CESifo Working Paper Series 6379, CESifo.
    • Handle: RePEc:ces:ceswps:_6379
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    Cited by:

    1. Hildegunn E. Stokke, 2021. "Regional payroll tax cuts and individual wages: heterogeneous effects of worker ability and firm productivity," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 28(6), pages 1360-1384, December.

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    More about this item

    Keywords

    tax reform; instrumental variable; supply and demand elasticities; tax incidence; payroll taxation;
    All these keywords.

    JEL classification:

    • C36 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Instrumental Variables (IV) Estimation
    • H22 - Public Economics - - Taxation, Subsidies, and Revenue - - - Incidence
    • H31 - Public Economics - - Fiscal Policies and Behavior of Economic Agents - - - Household
    • H32 - Public Economics - - Fiscal Policies and Behavior of Economic Agents - - - Firm
    • J22 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Time Allocation and Labor Supply
    • J23 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Labor Demand

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