Game Theory Basics

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Mathematics - Game Theory
Game Theory Basics

Game Theory Basics

Name: Game Theory Basics
ISBN: 9782021024593

Bernhard von Stengel

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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.

Kategorien:

Mathematics - Game Theory

Jahr:

2021

Verlag:

Cambridge University Press

Sprache:

english

Seiten:

376

ISBN 10:

1108910114