Game Theory: A Nontechnical Introduction (Dover Books on Mathematics)

"A lucid and penetrating development of game theory that will appeal to the intuition . . . a most valuable contribution." — Douglas R. Hofstadter, author of Gödel, Escher, Bach A fascinating, accessible introduction to the enormously important intellectual system with numerous applications to social, economic, and political problems. This newly revised edition offers an overview of game theory, then lucid coverage of the two-person zero-sum game with equilibrium points, the general, two-person zero-sum game, utility theory, and other topics. Problems are at the start of each chapter.   Foundations of Game Theory: Learn about the origins and fundamental principles of game theory, laid by John von Neumann, who in 1928 proved the basic minimax theorem and, with the 1944 publication of the Theory of Games and Economic Behavior, established the field. Wide Range of Applications: Discover game theory's significance in social, economic, and political domains and how it can be applied to diverse scenarios such as investment decisions, jury selection, military strategies, business expense allocation, and even measuring a Senator's power. Overview: Author Morton Davis begins with an overview of game theory, then discusses the two-person zero-sum game with equilibrium points; the general, two-person zero-sum game; utility theory; the two-person, non-zero-sum game; and the n-person game. Real-World Examples: Explore practical examples and case studies demonstrating how game theory can be applied to measure power dynamics, make strategic decisions, and address everyday situations. Problem-Solving Opportunities: Each chapter presents problems that allow readers to engage with the concepts and test their understanding before delving into the solutions provided by the author. Accessible and Engaging: Written in a non-technical manner, this book makes game theory understandable and relatable for readers without a strong mathematical background.   Whether you're a student, professional, or simply curious about the intriguing world of game theory, Game Theory: A Nontechnical Introduction offers a captivating journey into this influential intellectual system. With its accessible approach and practical applications, this book provides a fascinating introduction to game theory's mathematical properties and versatile applications in our modern world. Read more