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ruveyn
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04 Sep 2009, 3:10 pm

Awesomelyglorious wrote:
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.

ruveyn



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04 Sep 2009, 9:50 pm

ruveyn wrote:
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.

ruveyn

Well... duh. But that wasn't really Laffer's point, and contrary to your claims I don't think he ever proved a theorem. The basic fact you keep describing and attributing to him has been well known in calculus for much longer than Laffer has been around. The existence of local maxima between two bounds isn't a new concept. Laffer's claim is that lowering taxes will increase revenue. There is no basis for this claim whatsoever. The revenue-maximizing tax rate is almost certainly higher than the current tax rate- after all, the Bush tax cuts decreased revenue. That would indicate that the derivative at the current rate is positive- ie increasing the tax rate would increase tax revenue.

And ruveyn, I am quite certain that you are not interested in seeing the revenue-maximizing tax rate implemented. Other considerations than just government revenue come into play when determining a desirable tax rate.


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ruveyn
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05 Sep 2009, 2:16 am

Orwell wrote:
And ruveyn, I am quite certain that you are not interested in seeing the revenue-maximizing tax rate implemented. Other considerations than just government revenue come into play when determining a desirable tax rate.


Quite so. But I do want Laffer credited with being right, when he was right. It is only just. The idea of maximizing revenue to the State, just because it is the State, if find most bothersome.

I propose a tax rate that gives the government just enough revenue to keep the peace and not a cent more. I consider the State a necessary evil, not a positive good. The State exists only because humans are not (in general) good.

ruveyn



Sand
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05 Sep 2009, 2:28 am

ruveyn wrote:
Orwell wrote:
And ruveyn, I am quite certain that you are not interested in seeing the revenue-maximizing tax rate implemented. Other considerations than just government revenue come into play when determining a desirable tax rate.


Quite so. But I do want Laffer credited with being right, when he was right. It is only just. The idea of maximizing revenue to the State, just because it is the State, if find most bothersome.

I propose a tax rate that gives the government just enough revenue to keep the peace and not a cent more. I consider the State a necessary evil, not a positive good. The State exists only because humans are not (in general) good.

ruveyn


I'm good. Speak for yourself.



Master_Pedant
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05 Sep 2009, 7:48 pm

Image



claire-333
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05 Sep 2009, 7:50 pm

^I cannot see your image.



Master_Pedant
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05 Sep 2009, 7:50 pm

claire333 wrote:
^I cannot see your image.


Now you should!



claire-333
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05 Sep 2009, 7:51 pm

Oh wait. There it is.



claire-333
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05 Sep 2009, 7:52 pm

I cannot understand what it means, but maybe that is the point? :D



Master_Pedant
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05 Sep 2009, 7:56 pm

claire333 wrote:
I cannot understand what it means, but maybe that is the point? :D


LINK

second order quotation wrote:
The neo-Laffer curve is a satirical construct created by Martin Gardner to establish the fallacy of the Laffer Curve... The truth of the matter is that the optimal tax rate for government revenue is guided by intensely immediate circumstances and numerous, nigh-uncountable variables, and all the wicked webs that make up history Laffer's fallacy, whether conscious or unconscious, occurred when he assumed that simply because two ends of his graph could be easily examined and quantified, that the rest of the graph would follow the same rules and thus arrive at a "point". In fact, not only did the graph not follow those rules, it could not by definition of the system it represented.


Gardner took that actual revenue rates from years when the tax rate was as at a given value and adjusted the curve accordingly. In effect he came up with an empirical Laffer curve.



claire-333
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05 Sep 2009, 8:04 pm

Ohhh. ok. :D *claire smiles and pretends to get it*



Master_Pedant
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05 Sep 2009, 8:16 pm

claire333 wrote:
Ohhh. ok. :D *claire smiles and pretends to get it*


Read "Consciousness Explained" up to page 110 and when Dennett uses the Neo-Laffer curve to demonstrate a point on consciousness it'll all seem easy be comparsion.