ruveyn wrote:
True. But he proved a mathematical theorem. His proof stands. You can ignore his economics, but you cannot or should not ignore his mathematics.
ruveyn
The Laffer curve isn't a mathematical theorem or ANYWHERE CLOSE. It is a curve. The major features of the curve are that at the two tax rates at the end, there are no taxes collected, and that somewhere in the middle, there is an absolute maximum. Now, if we assume that the two end tax rates are zero, but that they are above that elsewhere, then the notion of an absolute maximum isn't that hard to stumble upon. Heck, even then, the Laffer curve can be questioned, because socialist systems can be argued to work from an effective 100% tax rate, but their governments still had money during certain periods of time.
Additionally, anything beyond the three facts 0% tax rate has 0 taxes, 100% tax rate has 0 taxes, and somewhere between 0-100% tax rate has revenue maximizing taxes, is not proved by the Laffer curve, however, Laffer is known for believing that we are on right side of his curve and thus need to lower taxes, despite the fact that most economists believe that we are on the left side of the curve and that revenue maximization would occur with higher taxes. Do economists use that curve though? No, it is basically utterly irrelevant to their concerns and basically uses a bit of knowledge basic enough that anyone with a bit of knowledge could have figured it out. Heck, Laffer doesn't even take credit for originating the idea, so I mean, there is no reason to laud Laffer too much.
With reasonable assumptions of continuity and differentialbility, Laffer's conclusion follows from the Hilbert Nullstellensatz. Look it up. If a function is negative in one place and posibit in another it is zero somewhere in between. That applies to the derivatives so either a maximum or a minimum exists in between . Since the revenue function is positive somewhere in the middle a maximum of revenue exists for some rate of taxation. That is mathematics, not economics. Revenues collected are a function of tax rate. Laffer was right on mathematical grounds.