What's the MWG/Valrain/Rudin when it comes to game theory books?
Best book for Game Theory?

FT: best overall coverage, get this if you only purchase one
OR: better coverage of some foundational topics like statespace models and equivalence of extensive forms, but not as comprehensive
Myerson: great selections on communication in games and bargaining with onesided reputation concerns; some good discussion of sequential equilibrium if I remember correctly
Mascheler, Solan, and Zamir: great chapters on basic epistemics and much more formal treatments of some topics, but also less advanced than FT for many things
Malaith and Samuelson: get this and read the whole thing if you like dynamic games

I recommend:
Rubinstein for formal mathematical definitions, Myerson on for philosophical discussions, Fudenberg Tirole for applications, and Reny&Jehle for the gentler introduction.I agree with this. I've been teaching out of OR for a few years but I think I will switch to MSZ in the future. It's as rigorous as any textbook listed and it is more comprehensive than the other 3 combined.

You and 8da3 disagree on MSZ. 8da3 says that FT is the most comprehensive and that MSZ is less advanced than FT on some topics while you say MSZ is the most comprehensive.
Who is right?
I recommend:
Rubinstein for formal mathematical definitions, Myerson on for philosophical discussions, Fudenberg Tirole for applications, and Reny&Jehle for the gentler introduction.I agree with this. I've been teaching out of OR for a few years but I think I will switch to MSZ in the future. It's as rigorous as any textbook listed and it is more comprehensive than the other 3 combined.

Fudenberg & Tirole is the best overall if your not already rather advanced, in which case I would combine:
* Sandholm for Evolutionary GT.
* Mailath & Samuelson for Repeated Games.
* Forthcoming book by Batigalli Brandenburger Freidenberg Sinischalci on Epistemic GT
* Maschler et al for all the remaining slightly boring topics.Meyerson is nice too.
Osborne & Rubinstein possibly for the state space models but the treatment is outdated.
Ritzberger is dry but contains some some fundamental stuff.