In economics, the Laffer curve, popularized by supply-side economist Arthur Laffer, illustrates a theoretical relationship between rates of taxation and the resulting levels of government's tax revenue. The Laffer curve assumes that no tax revenue is raised at the extreme tax rates of 0% and 100%, and that there is a tax rate between 0% and 100% that maximizes government tax revenue. The shape of the curve is a function of taxable income elasticity - i.e., taxable income changes in response to changes in the rate of taxation. The Laffer curve is typically represented as a graph that starts at 0% tax with zero revenue, rises to a maximum rate of revenue at an intermediate rate of taxation, and then falls again to zero revenue at a 100% tax rate. However, the shape of the curve is uncertain and disputed among economists. Under the assumption that the revenue is a continuous function of the rate of taxation, the maximum illustrated by the Laffer curve is a result of Rolle's theore...