I'm not entirely sure how to explain this book, as I didn't understand a word of it. I have also read "The Analytics of Information and Uncertainty", another book with heavy mathematical content, but one I found to be very good in scope and application. This text, however, seems to overuse mathematical methods. Economics is not about learning propositional mathematics, and just flicking through this book, there are models I already know, like the Edgeworth box diagram as applied to payoff states, and it was in a totally unrecognisable form! Even the fundamental theorems of welfare economics were garbled!I would heartily recommend this text to anyone who has completed 2nd year university level mathematics courses, or is a university lecturer in Economics. If you're just an ordinary graduate with little interest in deep mathematical methods, there are better books out there.