The book aims to provide a crystal clear analysis of why some countries establish democracies and maintain them with consolidation through political institutions while others fall into nondemocracies or shift between democratic and nondemocratic regimes, without any consolidation. In order to get this crystal clear analysis, the research relies on game theory, which in fact is the strength and the weakness of the book at the same time. In order to build a game theory model, first of the conceptual framework relies on three major binaries between democracy-nondemocracy, elite-masses and rich and poor. Dynamic analysis and game theory may also enable the use of a spectrum of democracy and nondemocracy to overcome the technical limitations of a binary, although I am not sure why the authors completely disregard the variety of democratic experiences in history. So yes, game theory modelling is a novel intervention to the existing literature, but it needs a lot of limitations to work, Occam's razor mentioned at several instances in the book, also the use of "all other things being equal" (come on, for God's sake, still? ceteris paribus?) leads to heavy reductionism of the historical divergences of democratic processes.
The references to the existing literature including Moore (obviously), Linz, Lipset, Olson etc. were all there; however, there is something ambiguous about the references made to historical cases that transform into democracies or become dictatorships. A lengthy reference to MAuritius, you end up thinking why? The first chapter begins with four cases but not in a comparative manner, more like a basic typology for the remainder of the book. The historical cases range within an eight-century time span, but then there is no inner logic to the historicity of the discussion, they're sort of scattered like a garnish.
The thing about political economy is this: When it's pursued from a purely political science angle or a purely economic angle, you never get a full picture of the issue under focus. I understand the criticism underlined by Acemoglu and Robinson that the existing analysis lacks clarity, but then they suffer from disregarding diversity of political practice at the expense of clarity. I don't know which one is worse.