Calculating the welfare costs of import restrictions in the imperfect substitutes model

This paper supplies equations for partial-equilibrium calculations of the welfare effects of tariffs and quotas when the imported good and the competing domestic good are imperfect substitutes in demand. The equations take into account the response of the price of the domestic substitute. Although other studies have acknowledged this response, they have failed to account for it in their welfare calculations. To demonstrate the importance of this response, it is shown how it affects the calculations for the welfare costs of tariffs and quotas on US imports of footwear. It is shown that ignoring the response of domestic prices leads to significant overstatement of the welfare costs of tariffs and significant understatement of the welfare costs of quotas for the industry.