Springer has just published a textbook by Dr. Marta Lewicka in its Universitext series. The book is titled "A Course on Tug-of-War Games with Random Noise".
This graduate textbook provides a detailed introduction to the probabilistic interpretation of nonlinear potential theory, relying on the recently introduced notion of tug-of-war games with noise. The book explores both basic and more advanced constructions, carefully explaining the parallel between linear and nonlinear cases. The presentation is self-contained with many exercises, making the book suitable as a textbook for a graduate course, as well as for self-study. Extensive background and auxiliary material allow the tailoring of courses to individual student levels.
Springer link: https://www.springer.com/gp/book/9783030462086
Amazon link: https://www.amazon.com/Course-Tug-Games-Random-Noise/dp/3030462080