Mathematical Game Theory

A game is a human-centered activity that explores the structures of particular games, economic or social environments, and models rational human behavior to find winning strategies. This book takes a novel approach to game theory, focusing on mathematical models that apply to game theory but exhibit a universal character and extend its scope. It is suitable for anyone interested in a general game-theoretic view of the world and requires mathematical knowledge at the level of a first course in real analysis and linear algebra.

Format: Hardback
Length: 240 pages
Publication date: 02 April 2022
Publisher: World Scientific Publishing Co Pte Ltd

A game, in the classical sense, is often thought of as an activity engaged in by human beings. Its mathematical exploration revolves around human behavior, delving into the structures of specific games, economic or social environments, and striving to model rational human decision-making in pursuit of effective winning strategies. This perspective positions game theory in a unique scientific realm, where mathematics, economics, and psychology converge and intertwine.

This book adopts a novel approach to the subject matter. While its primary focus lies in mathematical models that apply to game theory, these models possess a universal nature, expanding the reach of game theory significantly. This textbook is intended for anyone with an interest in gaining a comprehensive game-theoretic perspective on the world. It assumes a foundational understanding of real analysis and linear algebra, although more specialized aspects are further elaborated upon and references to relevant supplementary literature are provided. Additionally, numerous examples encourage active engagement from the reader as they navigate through the material.

The content of this book can be comprehensively covered in a single course on Mathematical Game Theory at the advanced undergraduate or graduate level.

Weight: 492g
Dimension: 158 x 237 x 21 (mm)
ISBN-13: 9789811246692