Game Theory

A Nontechnical Introduction

Author: Morton D. Davis

Publisher: Courier Corporation

ISBN: 9780486296722

Category: Mathematics

Page: 252

View: 1998

This fascinating, newly revised edition offers an overview of game theory, plus lucid coverage of two-person zero-sum game with equilibrium points; general, two-person zero-sum game; utility theory; and other topics.

Game Theory

A Nontechnical Introduction to the Analysis of Strategy Third Edition

Author: Roger A McCain

Publisher: World Scientific Publishing Company

ISBN: 9814578894

Category: Mathematics

Page: 600

View: 844

The objective of the third edition of Game Theory: A Nontechnical Introduction to the Analysis of Strategy is to introduce the ideas of game theory in a way that is approachable, intuitive, and interdisciplinary. Relying on the Karplus Learning Cycle, the book is intended to teach by example. Noncooperative equilibrium concepts such as Nash equilibrium play the central role. In this third edition, increased stress is placed on the concept of rationalizable strategies, which has proven in teaching practice to assist students in making the bridge from intuitive to more formal concepts of noncooperative equilibrium. The Instructor Manual and PowerPoint Slides for the book are available upon request for all instructors who adopt this book as a course text. Please send your request to [email protected]

Games and Decisions

Introduction and Critical Survey

Author: R. Duncan Luce,Howard Raiffa

Publisher: Courier Corporation

ISBN: 0486134830

Category: Mathematics

Page: 544

View: 5673

Superb non-technical introduction to game theory, primarily applied to social sciences. Clear, comprehensive coverage of utility theory, 2-person zero-sum games, 2-person non-zero-sum games, n-person games, individual and group decision-making, more. Bibliography.

N-Person Game Theory

Concepts and Applications

Author: Anatol Rapoport

Publisher: Courier Corporation

ISBN: 0486143678

Category: Mathematics

Page: 332

View: 5466

DIVSequel to Two-Person Game Theory introduces necessary mathematical notation (mainly set theory), presents basic concepts and models, and provides applications to social situations. /div

Game Theory: A Very Short Introduction

Author: Ken Binmore

Publisher: Oxford University Press

ISBN: 0199218463

Category: Business & Economics

Page: 184

View: 2948

Games are everywhere: Drivers maneuvering in heavy traffic are playing a driving game. Bargain hunters bidding on eBay are playing an auctioning game. The supermarket's price for corn flakes is decided by playing an economic game. This Very Short Introduction offers a succinct tour of the fascinating world of game theory, a ground-breaking field that analyzes how to play games in a rational way. Ken Binmore, a renowned game theorist, explains the theory in a way that is both entertaining and non-mathematical yet also deeply insightful, revealing how game theory can shed light on everything from social gatherings, to ethical decision-making, to successful card-playing strategies, to calculating the sex ratio among bees. With mini-biographies of many fascinating, and occasionally eccentric, founders of the subject--including John Nash, subject of the movie A Beautiful Mind--this book offers a concise overview of a cutting-edge field that has seen spectacular successes in evolutionary biology and economics, and is beginning to revolutionize other disciplines from psychology to political science. About the Series: Oxford's Very Short Introductions offers concise and original introductions to a wide range of subjects--from Islam to Sociology, Politics to Classics, and Literary Theory to History. Not simply a textbook of definitions, each volume provides trenchant and provocative--yet always balanced and complete--discussions of the central issues in a given topic. Every Very Short Introduction gives a readable evolution of the subject in question, demonstrating how it has developed and influenced society. Whatever the area of study, whatever the topic that fascinates the reader, the series has a handy and affordable guide that will likely prove indispensable.

The Compleat Strategyst

Being a Primer on the Theory of Games of Strategy

Author: J. D. Williams

Publisher: Courier Corporation

ISBN: 0486136841

Category: Mathematics

Page: 268

View: 9585

Only a basic understanding of arithmetic is needed to grasp these strategy games with two or more sets of inimical interests and a limitless array of zero-sum payoffs.

The Game's Afoot!

Game Theory in Myth and Paradox

Author: Alexander Mehlmann

Publisher: American Mathematical Soc.

ISBN: 0821821210

Category: Mathematics

Page: 159

View: 4561

It all started with von Neumann and Morgenstern half a century ago. Their Theory of Games and Economic Behavior gave birth to a whole new area of mathematics concerned with the formal problems of rational decision as experienced by multiple agents. Now, game theory is all around us, making its way even into regular conversations. In the present book, Mehlmann presents mathematical foundations and concepts illustrated via social quandaries, mock political battles, evolutionary confrontations, economic struggles, and literary conflict. Most of the standard models--the prisoners' dilemma, the arms race, evolution, duels, the game of chicken, etc.--are here. Many non-standard examples are also here: the Legend of Faust, shootouts in the movies, the Madness of Odysseus, to name a few. The author uses familiar formulas, fables, and paradoxes to guide readers through what he calls the ``hall of mirrors of strategic decision-making''. His light-hearted excursion into the world of strategic calculation shows that even deep insights into the nature of strategic thought can be elucidated by games, puzzles, and diversions. Originally written in German and published by Vieweg-Verlag, this AMS edition is a translation tailored for the English-speaking reader. It offers an intriguing look at myths and paradoxes through the lens of game theory, bringing the mathematics into sharper focus at the same time. This book is a must for those who wish to consider game theory from a different perspective: one that embraces science, literature, and real-life conflict. The Game's Afoot! would make an excellent book for an undergraduate course in game theory. It can also be used for independent study or as supplementary course reading. The connections to literature, films and everyday life also make it highly suitable as a text for a challenging course for non-majors. Its refreshing style and amusing combination of game theoretic analysis and cultural issues even make it appealing as recreational reading.

The Complete Idiot's Guide to Game Theory

Author: Edward C. Rosenthal, Ph.D.

Publisher: Penguin

ISBN: 1101478845

Category: Mathematics

Page: 384

View: 6291

Gain some insight into the game of life... Game Theory means rigorous strategic thinking. It is based on the idea that everyone acts competitively and in his own best interest. With the help of mathematical models, it is possible to anticipate the actions of others in nearly all life's enterprises. This book includes down-to-earth examples and solutions, as well as charts and illustrations designed to help teach the concept. In The Complete Idiot's Guide® to Game Theory, Dr. Edward C. Rosenthal makes it easy to understand game theory with insights into: ? The history of the disciple made popular by John Nash, the mathematician dramatized in the film A Beautiful Mind ? The role of social behavior and psychology in this amazing discipline ? How important game theory has become in our society and why

Differential Games

A Mathematical Theory with Applications to Warfare and Pursuit, Control and Optimization

Author: Rufus Isaacs

Publisher: Courier Corporation

ISBN: 0486135985

Category: Mathematics

Page: 416

View: 4985

Definitive work draws on game theory, calculus of variations, and control theory to solve an array of problems: military, pursuit and evasion, athletic contests, many more. Detailed examples, formal calculations. 1965 edition.

Introduction to Graph Theory

Author: Richard J. Trudeau

Publisher: Courier Corporation

ISBN: 0486318664

Category: Mathematics

Page: 224

View: 4024

Aimed at "the mathematically traumatized," this text offers nontechnical coverage of graph theory, with exercises. Discusses planar graphs, Euler's formula, Platonic graphs, coloring, the genus of a graph, Euler walks, Hamilton walks, more. 1976 edition.

The Mathematics of Games of Strategy

Author: Melvin Dresher

Publisher: Courier Corporation

ISBN: 0486150062

Category: Mathematics

Page: 208

View: 4989

This text offers an exceptionally clear presentation of the mathematical theory of games of strategy and its applications to many fields including economics, military, business, and operations research.

Lady Luck

The Theory of Probability

Author: Warren Weaver

Publisher: Courier Corporation

ISBN: 0486150917

Category: Mathematics

Page: 400

View: 6814

This witty, nontechnical introduction to probability elucidates such concepts as permutations, independent events, mathematical expectation, the law of averages and more. No advanced math required. 49 drawings.

Two-Person Game Theory

Author: Anatol Rapoport

Publisher: Courier Corporation

ISBN: 0486281094

Category: Mathematics

Page: 240

View: 2781

Clear, accessible treatment of mathematical models for resolving conflicts in politics, economics, war, business, and social relationships. Topics include strategy, game tree and game matrix, and much more. Minimal math background required. 1970 edition.

Mathematics of Games and Gambling

Author: Edward W. Packel

Publisher: MAA

ISBN: 9780883856468

Category: Mathematics

Page: 175

View: 1942

The new edition of a favourite, featuring fresh material such as betting in sport and bluffing in poker.

Game Theory and Politics

Author: Steven J. Brams

Publisher: Courier Corporation

ISBN: 0486143635

Category: Mathematics

Page: 336

View: 6400

DIVMany illuminating and instructive examples of the applications of game theoretic models to problems in political science appear in this volume, which requires minimal mathematical background. 1975 edition. 24 figures. /div

An Introduction to Functional Programming Through Lambda Calculus

Author: Greg Michaelson

Publisher: Courier Corporation

ISBN: 0486280292

Category: Mathematics

Page: 336

View: 2075

Well-respected text for computer science students provides an accessible introduction to functional programming. Cogent examples illuminate the central ideas, and numerous exercises offer reinforcement. Includes solutions. 1989 edition.

Rock, Paper, Scissors

Game Theory in Everyday Life

Author: Len Fisher

Publisher: Basic Books

ISBN: 0786726938

Category: Science

Page: 288

View: 1150

Praised by Entertainment Weekly as “the man who put the fizz into physics,” Dr. Len Fisher turns his attention to the science of cooperation in his lively and thought-provoking book. Fisher shows how the modern science of game theory has helped biologists to understand the evolution of cooperation in nature, and investigates how we might apply those lessons to our own society. In a series of experiments that take him from the polite confines of an English dinner party to crowded supermarkets, congested Indian roads, and the wilds of outback Australia, not to mention baseball strategies and the intricacies of quantum mechanics, Fisher sheds light on the problem of global cooperation. The outcomes are sometimes hilarious, sometimes alarming, but always revealing. A witty romp through a serious science, Rock, Paper, Scissors will both teach and delight anyone interested in what it what it takes to get people to work together.

The Theory of Distributions

A Nontechnical Introduction

Author: J. Ian Richards,Heekyung K. Youn

Publisher: CUP Archive

ISBN: 9780521558907

Category: Mathematics

Page: 147

View: 8803

This book is a self-contained introduction to the theory of distributions, sometimes called generalized functions. Most books on this subject are either intuitive or else rigorous but technically demanding. Here, by concentrating on the essential results, the authors have introduced the subject in a way that will most appeal to non-specialists, yet is still mathematically correct. Topics covered include: the Dirac delta function, generalized functions, dipoles, quadrupoles, pseudofunctions and Fourier transforms. The self-contained treatment does not require any knowledge of functional analysis or topological vector spaces; even measure theory is not needed for most of the book. The book, which can be used either to accompany a course or for self-study, is liberally supplied with exercises. It will be a valuable introduction to the theory of distributions and their applications for students or professionals in statistics, physics, engineering and economics.

The Development of Mathematics

Author: E. T. Bell

Publisher: Courier Corporation

ISBN: 0486152286

Category: Mathematics

Page: 656

View: 3678

Time-honored study by a prominent scholar of mathematics traces decisive epochs from the evolution of mathematical ideas in ancient Egypt and Babylonia to major breakthroughs in the 19th and 20th centuries. 1945 edition.

Game Theory: A Simple Introduction

Author: K.H. Erickson

Publisher: K.H. Erickson


Category: Mathematics

Page: 100

View: 6781

Game Theory: A Simple Introduction offers an accessible and enjoyable guide to the basic principles and extensive applications of game theory. Understand a game matrix, the prisoners’ dilemma, dominant and mixed strategies, zero-sum games, Pareto efficiency, the Nash equilibrium, and the power of asymmetric information. Calculate payoffs and outcomes in games involving characters such as Jack and Jill, or Frodo and Gollum. Look at the effects of altruism and hatred on games, and see how games can change over time. Explore examples looking at gang members, free riders, global governance, a long-term relationship, competing corporations, advertisers and their customers, along with familiar hawk-dove and chicken games. See game players use every trick in the book to get what they want, with over 50 images to guide through the steps they use to play the game.