Okay, it is not the book Crime and Punishment by Fyodor Dostoevsky (this is a link to the entire book online). I will come back to this book. My students are required to read a chapter by this name from the book The Economics of Public Issues. It is only 5 pages long while the famous book is over 500.
One of the interesting things mentioned in this chapter is research by Steven Levitt. It deals with the question of whether or not more police officers means less crime, everything else being held constant. The problem is that cities with high crime rates will have to hire more police officers (it is the opposite for low crime cities). So it is hard to find a meaningful correlation. But this paragraph from the book shows how he got around that problem:
"In the case of police, Levitt has found that election cycles tend to have a strong independent effect on the size of police forces, enabling him to identify the impact of police on crime rates. Because crime is such a hot political issue, both mayors and governors have strong incentives (and the ability) to push for more police funding in election years. The result is that even though police forces in major cities tend to remain constant in nonelection years, they grow by about 2 percent in an average election year. Although this may sound small, it is (1) large enough to have a significant impact over several election cycles, and thus (2) large enough to detect clearly in the data."
So we can see that crime goes down when more police get hired in election years. Each city gets compared to itself, so the problem mentioned above is avoided.
Now back to the Dostoevsky book. Below are two passages that relate to economics and one sounds like the invisible hand.
"But Mr. Lebeziatnikov who keeps up with modern ideas explained the other day that compassion is forbidden nowadays by science itself, and that that's what is done now in England, where there is political economy." (economics used to be called political economy)
"if I were told, 'love thy neighbour,' what came of it?" Pyotr Petrovitch went on, perhaps with excessive haste. "It came to my tearing my coat in half to share with my neighbour and we both were left half naked. As a Russian proverb has it, 'Catch several hares and you won't catch one.' Science now tells us, love yourself before all men, for everything in the world rests on self-interest. You love yourself and manage your own affairs properly and your coat remains whole. Economic truth adds that the better private affairs are organised in society--the more whole coats, so to say—the firmer are its foundations and the better is the common welfare organised too. Therefore, in acquiring wealth solely and exclusively for myself, I am acquiring, so to speak, for all, and helping to bring to pass my neighbour's getting a little more than a torn coat; and that not from private, personal liberality, but as a consequence of the general advance."
More online versions of the book.