Regressive Sin Taxes, with an Application to the Optimal Soda Tax Hunt Allcott, Benjamin B. Lockwood, and Dmitry Taubinsky∗ First version: January 2017 This version: May 2019 Abstract A common objection to \sin taxes"|corrective taxes on goods that are thought to be over- consumed, such as cigarettes, alcohol, and sugary drinks|is that they often fall dispropor- tionately on low-income consumers. This paper studies the interaction between corrective and redistributive motives in a general optimal taxation framework and delivers empirically imple- mentable formulas for sufficient statistics for the optimal commodity tax. The optimal sin tax is increasing in the price elasticity of demand, increasing in the degree to which lower-income consumers are more biased or more elastic to the tax, decreasing in the extent to which con- sumption is concentrated among the poor, and decreasing in income effects, because income effects imply that commodity taxes create labor supply distortions. Contrary to common intu- itions, stronger preferences for redistribution can increase the optimal sin tax, if lower-income consumers are more responsive to taxes or are more biased. As an application, we estimate the optimal nationwide tax on sugar-sweetened beverages, using Nielsen Homescan data and a spe- cially designed survey measuring nutrition knowledge and self-control. Holding federal income tax rates constant, our estimates imply an optimal federal sugar-sweetened beverage tax of 1 to 2.1 cents per ounce, although optimal city-level taxes could be as much as 60% lower due to cross-border shopping. ∗Allcott: New York University and NBER.
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