In Epistemic Authority, Zagzebski works through various topics to develop an justification for accepting epistemic beliefs and knowledge based on the beliefs of others. To do this, she first rejects epistemic self-reliance and epistemic egoism - namely, the stance that someone else's belief that p serves no reason for me to believe p. Instead, if I have reasons to trust that my own beliefs aim at the truth, and if I recognize I am not the only epistemic agent with reasons to trust their own beliefs, I therefore must extend the possibility of trustworthy beliefs to others. This rejection (chapter one), self-trust (chapter two), and other-trust (chapter three) triad serves as an unofficial "first part" of the book, after which Zagzebski works through this rejection of egoism in the realms of emotions, testimony, religious communities, disagreement, and more.
What I liked most about this project is that there are a lot of distinctions drawn to develop the stance Zagzebski promotes. I'll highlight the two I believe ground most of the work in the book. First, she differentiates between deliberative and theoretical reasons for belief, where the former are reasons for believing p that are essentially linked to me and only, while the latter are reasons for believing p that are logically or probabilistically linked to the truth of p itself. Second, she creates various coupled theses for justification in each chapter, focused on the topic of each chapter, based on the format that Thesis 1 focuses on if I believe someone else is more likely to form a true belief then I am more likely to find a true belief if I accept them as an authority, and Thesis 2 focuses on the stronger claim that if I am more likely to form a true belief that withstands conscientious self-reflection by relying on another as an authority then I ought to belief based on that authority.
One of my biggest problems with the book is that the majority of her arguments come from simple arguments by analogy. For the amount of epistemic weight of the claims, this seems rather cursory. My more substantial criticism, though, is that the coupled theses in each chapter seem weak to challenges of slippery slopes, which I don't believe Zagzebski has adequately addressed. Instead, it feels like this is a conciliatory approach to epistemic claims and disagreements, which is an approach I have never found compelling.