There are several excellent books that provide insightful and informative examinations of the game theory underlying Bitcoin and cryptocurrencies.
One notable example is "The Bitcoin Standard: The Decentralized Alternative to Central Banking" by Saifedean Ammous. This book explores the economic and monetary principles underpinning the Bitcoin network, and delves into how the game theory of Bitcoin incentivizes and disincentivizes certain behaviors among Bitcoin users and miners.
Another excellent book on this topic is "Cryptoeconomics: Institutions and Incentives in the 21st Century" by Vlad Zamfir and others, which provides a comprehensive overview of the emerging field of cryptoeconomics and its implications for the broader world of economics and finance.
Ultimately, the field of Bitcoin and cryptocurrencies is constantly evolving and expanding, and there are many fascinating resources and educational materials available for those who wish to gain a deeper understanding of the game theory and other underlying principles of these technologies.