Game Theory: An Introduction

Game Theory: An Introduction
ISBN-10
1118030656
ISBN-13
9781118030653
Series
Game Theory
Category
Mathematics
Pages
440
Language
English
Published
2011-02-14
Publisher
John Wiley & Sons
Author
E. N. Barron

Description

A fundamental introduction to modern game theory from amathematical viewpoint Game theory arises in almost every fact of human and inhumaninteraction since oftentimes during these communications objectivesare opposed or cooperation is viewed as an option. From economicsand finance to biology and computer science, researchers andpractitioners are often put in complex decision-making scenarios,whether they are interacting with each other or working withevolving technology and artificial intelligence. Acknowledging therole of mathematics in making logical and advantageous decisions,Game Theory: An Introduction uses modern software applications tocreate, analyze, and implement effective decision-makingmodels. While most books on modern game theory are either too abstractor too applied, this book provides a balanced treatment of thesubject that is both conceptual and hands-on. Game Theoryintroduces readers to the basic theories behind games and presentsreal-world examples from various fields of study such as economics,political science, military science, finance, biological science aswell as general game playing. A unique feature of this book is theuse of Maple to find the values and strategies of games, and inaddition, it aids in the implementation of algorithms for thesolution or visualization of game concepts. Maple is also utilizedto facilitate a visual learning environment of game theory and actsas the primary tool for the calculation of complex non-cooperativeand cooperative games. Important game theory topics are presented within the followingfive main areas of coverage: Two-person zero sum matrix games Nonzero sum games and the reduction to nonlinear programming Cooperative games, including discussion of both the Nucleolusconcept and the Shapley value Bargaining, including threat strategies Evolutionary stable strategies and population games Although some mathematical competence is assumed, appendices areprovided to act as a refresher of the basic concepts of linearalgebra, probability, and statistics. Exercises are included at theend of each section along with algorithms for the solution of thegames to help readers master the presented information. Also,explicit Maple and Mathematica® commands are included in thebook and are available as worksheets via the book's related Website. The use of this software allows readers to solve many moreadvanced and interesting games without spending time on the theoryof linear and nonlinear programming or performing other complexcalculations. With extensive examples illustrating game theory's wide range ofrelevance, this classroom-tested book is ideal for game theorycourses in mathematics, engineering, operations research, computerscience, and economics at the upper-undergraduate level. It is alsoan ideal companion for anyone who is interested in the applicationsof game theory.

Get the book

Amazon.com
Amazon.com
Search the book
eBay.com
eBay.com
Search the book

Other editions

Similar books