An Introductory Course on Mathematical Game Theory: 115 (Graduate Studies in Mathematics) - Softcover

Julio Gonzalez-Diaz (author)|Ignacio Garcia-Jurado (author)|M. Gloria Fiestras-Janeiro (author)

Softcover

ISBN 10: 1470465736 ISBN 13: 9781470465735

Publisher: American Mathematical Society, 2021

Synopsis

Game theory provides a mathematical setting for analyzing competition and cooperation in interactive situations. The theory has been famously applied in economics, but is relevant in many other sciences, such as political science, biology, and, more recently, computer science. This book presents an introductory and up-to-date course on game theory addressed to mathematicians and economists, and to other scientists having a basic mathematical background. The book is self-contained, providing a formal description of the classic game-theoretic concepts together with rigorous proofs of the main results in the field. The theory is illustrated through abundant examples, applications, and exercises.

The style is distinctively concise, while offering motivations and interpretations of the theory to make the book accessible to a wide readership. The basic concepts and results of game theory are given a formal treatment, and the mathematical tools necessary to develop them are carefully presented. Cooperative games are explained in detail, with bargaining and TU-games being treated as part of a general framework. The authors stress the relation between game theory and operations research.

The book is suitable for a graduate or an advanced undergraduate course on game theory. This book is published in cooperation with Real Sociedad Matematica Espanola.

About this title

About the Author

Julio Gonzalez-Diaz, Universidade de Santiago de Compostela, Spain.

Ignacio Garcia-Jurado, Universidad de Coruna, Spain.

M. Gloria Fiestras-Janeiro, Universidade de Vigo, Spain.

Edition details

• Publisher: American Mathematical Society
• Publication date: 2021
• Language: English
• ISBN 10: 1470465736
• ISBN 13: 9781470465735
• Binding: Paperback
• Number of pages: 324