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Goldin & Homonoff - DataSpace at Princeton University

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4. St<strong>at</strong>e Specific Trends<br />

Although including st<strong>at</strong>e fixed-effects accounts for unobserved factors th<strong>at</strong> affect the levels of smoking<br />

demand by st<strong>at</strong>e, it could be th<strong>at</strong> changes in a st<strong>at</strong>e’s tax r<strong>at</strong>es are correl<strong>at</strong>ed with trends in th<strong>at</strong> st<strong>at</strong>e’s<br />

cigarette demand, such as anti-smoking sentiment. To reduce the influence of any such omitted third<br />

factors, we add st<strong>at</strong>e-specific year trends to the econometric model. 32 Table XIII shows th<strong>at</strong> the estim<strong>at</strong>ed<br />

coefficients are largely unchanged by this addition.<br />

III. Conclusion<br />

yismt = α + β1τ e smt + β2τ s smt + ρ1τ e smtLIismt + ρ2τ s smtLIismt + ηLIismt +<br />

γxsmt + δzismt + µs + λt + ξs ∗t + πm + εismt<br />

Policymakers <strong>at</strong> all levels of government depend on commodity taxes to raise revenue, but such taxes are<br />

typically regressive, constituting a gre<strong>at</strong>er burden for low-income consumers. This paper has suggested a<br />

novel way for policymakers to lessen th<strong>at</strong> regressivity: manipul<strong>at</strong>ing the fraction of the tax th<strong>at</strong> is levied<br />

<strong>at</strong> the register as opposed to being included in a good’s posted price. In particular, we showed th<strong>at</strong> levying<br />

a gre<strong>at</strong>er proportion of a commodity tax <strong>at</strong> the register shifts the tax’s burden away from <strong>at</strong>tentive con-<br />

sumers. When low-income consumers pay more <strong>at</strong>tention to register taxes than high-income consumers<br />

do, designing a tax in this way can lessen its regressivity. Conversely, when high-income consumers are<br />

the more <strong>at</strong>tentive, imposing a commodity tax <strong>at</strong> the register will exacerb<strong>at</strong>e its regressivity.<br />

With this motiv<strong>at</strong>ion in mind, we investig<strong>at</strong>ed whether high- and low-income consumers respond<br />

differently to register taxes on cigarettes. Exploiting st<strong>at</strong>e and time vari<strong>at</strong>ion in tax r<strong>at</strong>es, we found<br />

th<strong>at</strong> low-income consumers respond to both excise and sales taxes on cigarettes, whereas higher-income<br />

consumers only respond to excise taxes. This finding is consistent with the hypothesis th<strong>at</strong> <strong>at</strong>tentiveness<br />

32 Although our tax r<strong>at</strong>e d<strong>at</strong>a is probably largely free of measurement error, including st<strong>at</strong>e trends could still cause substantial<br />

<strong>at</strong>tenu<strong>at</strong>ion bias in the current context. Suppose th<strong>at</strong> smoking demand depends upon a function of current and past tax r<strong>at</strong>es,<br />

xt = x(a(L)xt), where a(L) is some lag polynomial. The situ<strong>at</strong>ion here is analagous to the standard measurement error problem:<br />

although the original tax variable xt may be highly correl<strong>at</strong>ed with the “true” tax variable a(L)xt, the new tax measure after<br />

including st<strong>at</strong>e trends may only be weakly correl<strong>at</strong>ed with the “true” tax r<strong>at</strong>e, causing an <strong>at</strong>tenu<strong>at</strong>ion bias.<br />

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