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Game Theory Condensed

A 20-Page Mathematical Primer

A 20-page PDF summaries of Game Theory essentials, covering Nash Equilibrium, Shapley Values, and Stable Matchings.

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About the Book

Understanding strategic interaction shouldn't require reading a 500-page textbook.

This is a rigorous, "no-fluff" introduction to Game Theory. In just 20 pages, this guide condenses the fundamental mathematical frameworks of strategic decision-making into a clear, concise format.

It is designed for students, engineers, and curious minds who prefer mathematical precision over lengthy anecdotes. Whether you are preparing for an exam or building an algorithm, this primer covers the essential landscape of both non-cooperative and cooperative games.

What is covered inside:

  • Strategic Form & Matrix Games: Zero-sum games, saddle points, and the Minimax Theorem.
  • Nash Equilibrium: Theoretical foundations and how to find equilibria in bimatrix games.
  • Extensive Form: Game trees, information sets, and backward induction.
  • Cooperative Game Theory: A deep dive into coalitional forms, the Core, and the Shapley Value for fair allocation.
  • Advanced Concepts: Rare topics often skipped in intro books, including the Nucleolus, Gately Point, and Stable Marriage Problems.

Why this guide? Most introductory books spend chapters on history and stories. This guide focuses on the definitions, theorems, and algorithms. It serves as both a learning path and a quick reference sheet for the mathematics of strategy.

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