Game Theory: Theorems, Proofs, and Python Implementations (Computational Mathematics Library)

The only all-inclusive mathematics text that unifies classical Game Theory with modern computational practice. Every one of the 24 dense, proof-driven chapters is paired with reproducible Python scripts that transform abstract theorems into live algorithms you can test in seconds.Inside the Book• Strategic-form and extensive-form foundations with rigorous Nash existence proofs• Cutting-edge equilibrium refinements, including perfect, proper, quasi-perfect, and sequential concepts• Continuous action spaces solved through variational inequalities and convex analysis• High-impact fields such as Mechanism Design, Auction Theory, Matching Markets, and Bargaining Solutions• Repeated, stochastic, differential, and mean-field games that link to reinforcement learning and control• Algorithmic Game Theory: PPAD hardness, price of anarchy, and fast approximation schemes coded in NumPy• Evolutionary dynamics, replicator equations, and learning algorithms like fictitious play and no-regret Hedge• Cooperative frameworks: core, Shapley value, nucleolus, and assignment games• Advanced information design, Bayesian persuasion, and signalling environments• Combinatorial and partizan games leading to Conway’s surreal numbers Read more