Reddit reviews Complete Mandolinist

There's not as formal of a progression with mandolin as there are with more established jazz/classical instruments. I think the closest that you're going to find would be a book like The Complete Mandolinist. It has a decidedly classical bent to it, but it's a single book but it was created to be used progressively rather than a random selection of tunes.

I've also heard good things about Horne's series. but they are well reviewed. More folk/bluegrassy oriented.

It doesn't answer your question, but depending on your level and what you're looking for, there are two books that I have that are more exercise oriented that focus on a progressive approach to learning imrpovisation and the fretboard-- Esichman's getting into Jazz Mandolin has years worth of exercises to develop a Jazz vocabulary and fretboard knowledge.

And Petersen's Guide to Bluegrass Improvisation focuses on building a bluegrass improv vocabulary.

Sorry I don't have much more help, but I don't know if there is a correct answer to this one.