Mathematical Methods and Theory in Games, Programming, and Economics: Volume 2: The Theory of Infinite Games

By Samuel Karlin

Mathematical Methods and Theory in Games, Programming, and Economics, Volume II provides information pertinent to the mathematical theory of games of strategy. This book presents the mathematical tools for manipulating and analyzing large sets of strategies. Organized into nine chapters, this volume begins with an overview of the fundamental concepts in game theory, namely, strategy and pay-off. This text then examines the identification of strategies with points in Euclidean n-space, which is a convenience that simplifies the mathematical analysis. Other chapters provide a discussion of the theory of finite convex games. This book discusses as well the extension of the theory of convex continuous games to generalized convex games, which leads to the characterization that such games possess optimal strategies of finite type. The final chapter deals with the components of a simple two-person poker game. This book is a valuable resource for mathematicians, statisticians, economists, social scientists, and research workers.

• Language: English
• Publisher: Elsevier Science
• Release date: May 12, 2014
• ISBN: 9781483224008

Samuel Karlin

Samuel Karlin has spent the past twenty years traveling, teaching and playing tennis on six continents in over sixty countries. During that time he lived in South Africa, Thailand and most recently in Japan. Some highlights off the court include climbing Mt. Kilimanjaro, hiking the Inca Trail to Machu Picchu and trekking the Annapurna Circuit in Nepal. A native New Yorker, Samuel received his MA and BA in English from Columbia University and currently lives in Bedford with his son. Love 30 is his first book.

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