A suitable textbook for a game theory course within a Master of Science in Applied Mathematics program at Johns Hopkins University would likely cover fundamental concepts such as Nash equilibrium, cooperative and non-cooperative games, evolutionary game theory, and mechanism design. Example applications could include auction theory, voting systems, and market competition models. The ideal text would balance rigorous mathematical treatment with practical examples and exercises relevant to applied mathematics.
Selecting the appropriate text is crucial for student success in such a program. A well-chosen book provides a structured learning path, reinforces theoretical understanding through practical applications, and prepares students for advanced research or professional application of game theory within fields like finance, economics, or computer science. The historical development of game theory and its increasing relevance in diverse fields underscores the importance of a comprehensive and up-to-date textbook.