rvern
Let A be the event that the car is behind door 1, B that the car is behind door 2, and C that the car is behind door 3. Let E be the event that the host opens door 3. We assume that the car is initially equally likely to be behind each door and that the host opens a door with a goat at random, never opening the door we picked.
Since A, B, and C are exhaustive and mutually exhaustive propositions, we can calculate the marginal probability of E by using the law of total probability:
P(E) = P(E ∧ A) + P(E ∧ B) + P(E ∧ C).
Bayesians like to define joint probability from conditional probability instead of the reverse; that is, define P(A ∧ B) as P(A | B) P(B) instead of P(A | B) as P(A ∧ B) / P(B).
So P(E ∧ A) = P(E | A) P(A). P(E | A) is 1/2 because we picked door 1, the car is behind door 1, and the host chooses at random a door that has a goat, of which there are two: 2 and 3. P(A) is 1/3. Therefore P(E ∧ A) is 1/2 × 1/3 = 1/6.
Similarly, P(E ∧ B) = P(E | B) P(B). P(E | B) is 1 because we picked door 1 so the host will not open door 1 and we assume the car is behind door 2 so the host will not open door 2, leaving only door 3 to be opened. P(B) is 1/3. Therefore P(E ∧ B) is 1 × 1/3 = 1/3.
P(E ∧ C) = P(E | C) P(C). P(E | C) is 0 because the host will never open the door the car is behind. P(C) is 1/3. Therefore P(E ∧ C) is 0 × 1/3 = 0.
So P(E) = 1/6 + 1/3 + 0 = 1/2. We know that the host opened door 3 (this is E), so the car cannot be behind door 3. How likely is it to be behind door 1? By Bayes’ theorem,
P(A | E) = P(E | A) P(A) / P(E).
We said earlier that P(E | A) is 1/2, P(A) is 1/3, and P(E) is 1/2. So P(A | E) = (1/2 × 1/3) / (1/2) = 1/3.
Given E, the car must be behind door 1 or door 2 since the host opened door 3. Therefore the sum of P(A | E) and P(B | E) must be 1. P(A | E) is 1/3, so P(B | E) is 2/3. The car is more likely to be behind door 2 than door 1. We initially picked door 1, so, if we want the car, we should switch.
Official Statement on New Claimed Vulnerabilities by the GnuPG and Gpg4Win Teams
That's where you make a mistake. Whatever the reason, the Wikipedia articles on the g factor, the intelligence quotient and Cattell–Horn–Carroll theory represent better what is widely accepted in the field than any other source. This somehow also turns out to be true for other academic fields.
Anyway, when source A says explicitly that source B is wrong but source B makes no such claim about source A, you should usually believe source A. But in this case you can know that the study is right by just learning for yourself what does happen to be widely accepted in the field and why it is widely accepted.
This should be completely obvious.
It also refutes the author’s argument. Why has a market economy directed by a Communist state become the world’s second-largest?! Would Friedman find it hard to explain why China, run by a Communist Party, has emerged as central to the global capitalist economy!? China has 19% of the world population but roughly 10% of the world GDP. It is 79th in GDP per capita at purchasing power parity. We should not evaluate a country’s economic policies by looking at its nominal GDP without also looking at its population—this is nothing Friedman would have difficulty explaining.
http://marginalrevolution.com/marginalrevolution/2008/07/xxx...
“At this point, one could object, ‘Though education teaches few practical skills, that hardly makes it wasteful. By your own admission, education serves a vital function: certifying the quality of labor. That’s useful, isn’t it?’ Indeed. However, this is a dangerous admission for the champion of education. If education merely certifies labor quality, society would be better off if we all got less. Think about it like this: A college degree now puts you in the top third of the education distribution, so employers who seek a top-third worker require this credential. Now imagine everyone with one fewer degree. In this world, employers in need of a top-third worker would require only a high school diploma. The quality of labor would be certified about as accurately as now—at a cost savings of four years of school per person.
[…]
Suppose you agree society would benefit if average education declined. Is this achievable? Verily. Government heavily subsidizes education. In 2011, U.S. federal, state, and local governments spent almost a trillion dollars on it. The simplest way to get less education, then, is to cut the subsidies. This would not eliminate wasteful signaling, but at least government would pour less gasoline on the fire.
The thought of education cuts horrifies most people because ‘we all benefit from education.’ I maintain their horror rests on what logicians call a fallacy of composition—the belief that what is true for a part must also be true for the whole. The classic example: You want a better view at a concert. What can you do? Stand up. Individually, standing works. What happens, though, if everyone copies you? Can everyone see better by standing? No way.”
The Case Against Education: Why the Education System Is a Waste
There haven't been that many large scale attempts to revolutionize society in history and some have worked just the way some people expected without hindsight. So it is in fact possible to predict the outcomes of a large scale system through causal reasoning and to have a reasonable idea of their desirability.
Then tax consumption enough to pay for the food accounting for the consumption tax that will apply to the food. That the amount of money you need to pay for the food increases as the consumption tax used to pay for the food increases is not a problem as long as anything at all other than food is being consumed in the economy. (If it happened to be the case that nothing other than food was being consumed, that would just mean it isn't possible to supply enough food—an income or wealth tax wouldn't be able to change anything about this.) The consumption tax needed for the government to pay for the food will be lower than the income or wealth tax that would be needed for the same thing.
Taxing investment to pay for food is only going to work insofar as it reallocates resources from the production of whatever the investments were in to the production of food. A consumption tax can already do this reallocation more efficiently. If your goal is to make the economy produce more of food and less of other things, this goal can be achieved more efficiently with a consumption tax than with an income or wealth tax.
> That's the bad of taxing consumption - that it naturally taxes more the poor, making them even poorer, than the rich.
It only taxes the poor more in proportion to their wealth, to the extent a higher proportion of the wealth of the poor is consumed instead of invested, but not in absolute terms. In absolute terms, it is the reverse, since the rich consume on average more than the poor even if this consumption is less as a proportion of their wealth. The tax on consumption taxes your absolute consumption, not your consumption as a proportion of your wealth, so it does make the poor better off in relation to the rich.
> But if you admit that some public services are necessary (eg police, defense from external threats) then it's obvious that a 0 tax rate is bad - 0 taxes mean 0 public services.
Even if these public services could not be provided without taxes, the reason having no taxes would be bad would not be that it is an extreme. But public goods can be provided without taxes. For the police, courts and laws, chapter 29[1] of The Machinery of Freedom describes one way this could be done. National defense can be funded with dominant assurance contracts, as can many other public goods (even when they can't be made excludable), including lighthouses, scientific research, information goods such as books, software, or art, clean air, and free-to-air television. So even if some public services are necessary or even just desirable, it is not obvious that having no taxes is bad as they can also be provided without taxes.
[1]: http://www.daviddfriedman.com/Libertarian/Machinery_of_Freed...
If this is just about wealth redistribution, there are much better ways to do wealth redistribution. If this is about how Intel should have disclosed that there was a vulnerability earlier, then laws against insider trading didn't make Intel do that anyway. If this is about how people shouldn't be allowed to trade with asymmetric information, the prohibition against insider trading doesn't apply to the security researchers.
No, you have someone sending an order to sell stock to their broker. The other party had already sent a buy order and was already going to buy stock, so is not made worse off by this.
My intent was only to use it as an example. You can change the percentage to anything you want, as long as it is low enough not to have an effect on Warren Buffett's consumption. And if it has an effect on Warren Buffett's consumption, then you could do the same thing with a consumption tax so that wouldn't be an argument for taxing wealth over taxing consumption.
> In your extreme scenario, there would be an increased demand for food. Greater demand would increase prices. This would move the allocation of resources to food production from, say, Ferrari production. You would have more food production and poor people would eat better.
Indeed. But this is just as true if the spending on food is funded by a consumption tax. This is an argument for taxes, not an argument for income or wealth taxes over consumption taxes. I also believe taxes are harmful in general, but that's a separate point from whether a consumption tax should be preferred over an income or wealth tax.
> The outcomes of taxation and other economic levers are never represented by monotonic functions. The optimal options are always somewhere "in between" the extremes,
I don't see why this ought to be true and you did not provide any evidence to support these claims.
> so saying "taxing at 100% doesn't work, so we should tax at 0%" is a fallacy.
It is, but not for the reason you stated. Saying "taxing at 2% doesn't work, so we should tax at 0%" would also be a fallacy if the optimal tax rate happened to be 1%. This has nothing to do with extremes.
Of course. The Intel CEO sells stock to investors without telling them that there is a vulnerability that makes the stock worth much less than they think, thus hurting these investors. Sounds intuitive, right?
The investors he sells to had already sent an order to buy to their broker. They were going to buy at the same or worse price anyway, so they aren't harmed by this. Someone else is harmed, but that's the market professionals who, months later, don't get an opportunity to profit off of the news before everyone else. I'm sure economics not being intuitive has something to do with why democracies end up with bad policies all the time.