The author is Adrian Tinniswood and the subtitle is Corsairs, Conquests, and Captivity in the 17th-Century Mediterranean. Excerpt:
I found that robbery on the high seas was far from being the private enterprise I'd imagined it to be: behind it lay a sophisticated system of socialized crime, state-sanctioned and state-regulated, an early and efficient example of public-private partnership. And I came to understand the enormous economic importance of the Mediterranean trade in slaves, a trade which took the liberty of around one million Europeans and at least as many North Africans in the course of the seventeenth century.
He covers a different set of pirates than does Peter Leeson and in this sense there is no contradiction; still, this is an interesting book for an alternative perspective on pirate economics and history.