Game Theory Basics
eBook - PDF

Game Theory Basics

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Game Theory Basics

About this book

Game theory is the science of interaction. This textbook, derived from courses taught by the author and developed over several years, is a comprehensive, straightforward introduction to the mathematics of non-cooperative games. It teaches what every game theorist should know: the important ideas and results on strategies, game trees, utility theory, imperfect information, and Nash equilibrium. The proofs of these results, in particular existence of an equilibrium via fixed points, and an elegant direct proof of the minimax theorem for zero-sum games, are presented in a self-contained, accessible way. This is complemented by chapters on combinatorial games like Go; and, it has introductions to algorithmic game theory, traffic games, and the geometry of two-player games. This detailed and lively text requires minimal mathematical background and includes many examples, exercises, and pictures. It is suitable for self-study or introductory courses in mathematics, computer science, or economics departments.

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Yes, you can access Game Theory Basics by Bernhard von Stengel in PDF and/or ePUB format, as well as other popular books in Mathematics & Discrete Mathematics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Half-title Page
  3. Title Page
  4. Copyright Page
  5. Contents
  6. Preface
  7. 1 Nim and Combinatorial Games
  8. 2 Congestion Games
  9. 3 Games in Strategic Form
  10. 4 Game Trees with Perfect Information
  11. 5 Expected Utility
  12. 6 Mixed Equilibrium
  13. 7 Brouwer’s Fixed-Point Theorem
  14. 8 Zero-Sum Games
  15. 9 Geometry of Equilibria in Bimatrix Games
  16. 10 Game Trees with Imperfect Information
  17. 11 Bargaining
  18. 12 Correlated Equilibrium
  19. References
  20. Index