Reddit reviews Essentials of Game Theory: A Concise, Multidisciplinary Introduction (Synthesis Lectures on Artificial Intelligence and Machine Learning)

An excellent introduction to game theory (sans mechanism design) is Essentials of Game Theory by Kevin Leyton-Brown and Yoav Shoham. It provides a rigorous overview of the most fundamental kinds of games and their associated solution concepts.

Algorithmic Game Theory by Nisan et al then makes for a quite-comprehensive reference on (algorithmic) game theory, mechanism design, and market computation. Tim Roughgarden's old course is a great way to structure a first pass through it.

Here. is a short textbook that provides a good overview on the topic.

Here is a pdf with a couple specific examples of game theoretic programming with included code that you can play around with as you follow along.

The course used this, it's a good book, but it expects a mathematical background of the reader, so only introductory of you're already familiar with mathematical notation and calculus.

I'm pretty sure it's intended for math majors.