Name: Game Theory Explained: A Mathematical Introduction With Optimization (en Inglés)
Price: 48.50 USD
Availability: InStock
Author: Christopher Griffin
ISBN: 9789819812875

portada Game Theory Explained: A Mathematical Introduction With Optimization (en Inglés)

Game Theory Explained: A Mathematical Introduction With Optimization (en Inglés)

Formato

Libro Físico

Editorial

World Scientific Publishing

Autor

Christopher Griffin

Idioma

Inglés

N° páginas

308

Encuadernación

Tapa Blanda

ISBN13

9789819812875

Game Theory Explained: A Mathematical Introduction With Optimization (en Inglés)

Christopher Griffin (Autor) · World Scientific Publishing · Tapa Blanda

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Reseña del libro "Game Theory Explained: A Mathematical Introduction With Optimization (en Inglés)"

This book provides an introduction to the mathematical theory of games using both classical methods and optimization theory. Employing a theorem-proof-example approach, the book emphasizes not only results in game theory, but also how to prove them.Part 1 of the book focuses on classical results in games, beginning with an introduction to probability theory by studying casino games and ending with Nash's proof of the existence of mixed strategy equilibria in general sum games. On the way, utility theory, game trees and the minimax theorem are covered with several examples. Part 2 introduces optimization theory and the Karush-Kuhn-Tucker conditions and illustrates how games can be rephrased as optimization problems, thus allowing Nash equilibria to be computed. Part 3 focuses on cooperative games. In this unique presentation, Nash bargaining is recast as a multi-criteria optimization problem and the results from linear programming and duality are revived to prove the classic Bondareva-Shapley theorem. Two appendices covering prerequisite materials are provided, and a 'bonus' appendix with an introduction to evolutionary games allows an instructor to swap out some classical material for a modern, self-contained discussion of the replicator dynamics, the author's particular area of study.