Game Theory Basics

Game theory analyzes interaction - of internet users, competing firms, or cancer cells. This text explains the mathematical basics of game theory from the ground up, and introduces all-important results on non-cooperative games. With detailed explanations, examples, exercises, and pictures, it is designed for self-study or course accompaniment.

List of contents

1. Nim and Combinatorial Games; 2. Congestion Games; 3. Games in Strategic Form; 4. Game Trees with Perfect Information; 5. Expected Utility; 6. Mixed Equilibrium; 7. Brouwer's Fixed-Point Theorem; 8. Zero-Sum Games; 9. Geometry of Equilibria in Bimatrix Games; 10. Game Trees with Imperfect Information; 11. Bargaining; 12. Correlated Equilibrium.

About the author

Bernhard von Stengel, educated in the US and Germany, is a mathematical game theorist at London School of Economics and Political Science, and an authority on computational and geometric methods for solving games. He chaired the 2016 World Congress of the Game Theory Society, and is a senior editor for leading journals on mathematical game theory.

Summary

Game theory analyzes interaction - of internet users, competing firms, or cancer cells. This text explains the mathematical basics of game theory from the ground up, and introduces all-important results on non-cooperative games. With detailed explanations, examples, exercises, and pictures, it is designed for self-study or course accompaniment.

Product details

• Authors: Bernhard von Stengel, Bernhard von Stengel, Bernhard (London School of Economics Von Stengel, Bernhard (London School of Economics and Political Science) von Stengel
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 31.08.2021
• EAN: 9781108824231
• ISBN: 978-1-108-82423-1
• No. of pages: 374
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous; Social sciences, law, business > Business > General, dictionaries; BUSINESS & ECONOMICS / Economics / Microeconomics, MATHEMATICS / Game Theory, COMPUTERS / Programming / Algorithms, algorithms and data structures, game theory, Algorithms & data structures, Microeconomics