Introducing Game Theory and Its Applications

Zusatztext "This is an important contribution - one that will make demand for this book high. The value of the book can be seen in three distinct characteristics. First! the book does not skimp on providing full details of the theorems (and accompanying proofs) that underpin the strategic study of games. ?At a minimum! this book is a wonderful source of games for classroom exercises. ?A better understanding of the theory of those games is fundamental to any empirical enterprise! and Introducing Game Theory and Its Applications provides a fine starting point for interested students."-Interfaces! Andrew B. Whitford! University of Georgia "In this introductory textbook aimed at anyone trying to understand the implications and applications of game theory! Mendelson provides basic methods for various games that relate to mathematics! economics and business."-Columbia College Today "It can be recommended to readers with a limited mathematical knowledge who are interested in game theory and its applications in economics! political science and biology."-EMS Newsletter! March 2005 Informationen zum Autor Elliott Mendelson Klappentext This text presents an easy-to-read introduction to the basic ideas and techniques of game theory. It begins by discussing combinatorial games-a topic often neglected in other texts-and then moves to two-person zero-sum games. The final chapter explores the concepts and tools of non-zero-sum games and games with more than two players. Suitable as a textbook, for self-study, and as a reference, this introduction prepares readers for more advanced study of game theory's applications in economics, business, and the physical, biological, and social sciences. Zusammenfassung Presents an easy-to-read introduction to the basic ideas and techniques of game theory. This book covers combinatorial games. It also focuses on two-person zero-sum games and their solution. It presents the simplex method, based on linear programming, for solving these games and develops the required background in linear programming. Inhaltsverzeichnis Introduction. Combinatorial Games. Two-Person Zero-Sum Games. The Simplex Method. The Fundamental Theorem of Duality. Solution of Two-Person Zero-Sum Games. Non-Zero-Sum Games and k-Person Games. Appendices: Finite Probability Theory. Utility Theory. Nash's Theorem. Answers to Selected Exercises. Bibliography....

Autorentext

Elliott Mendelson

Klappentext

This text presents an easy-to-read introduction to the basic ideas and techniques of game theory. It begins by discussing combinatorial games-a topic often neglected in other texts-and then moves to two-person zero-sum games. The final chapter explores the concepts and tools of non-zero-sum games and games with more than two players. Suitable as a textbook, for self-study, and as a reference, this introduction prepares readers for more advanced study of game theory's applications in economics, business, and the physical, biological, and social sciences.

Inhalt

Introduction. Combinatorial Games. Two-Person Zero-Sum Games. The Simplex Method. The Fundamental Theorem of Duality. Solution of Two-Person Zero-Sum Games. Non-Zero-Sum Games and k-Person Games. Appendices: Finite Probability Theory. Utility Theory. Nash's Theorem. Answers to Selected Exercises. Bibliography.