MTU Library Catalogue

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Fun and games : a text on game theory / Ken Binmore.

By: Binmore, K. G, 1940-.
Material type: materialTypeLabelBookPublisher: Lexington, MA : D.C. Heath, c1992Description: xxix, 602, A40 p. : ill. ; 24 cm. + hbk.ISBN: 0669246034.Subject(s): Game theoryDDC classification: 519.3
Contents:
Introduction -- Winning out -- Taking chances -- Accounting for tastes -- Getting paid off -- Making deals -- Mixing things up -- Keeping your balance -- Repeating yourself -- Adjusting to circumstances -- Knowing your place -- Knowing who to believe -- Bluffing it out.

Enhanced descriptions from Syndetics:

Binmore' s groundbreaking text on game theory explores the manner in which rational people should interact when they have conflicting interests. While Binmore uses a light touch to outline key developments in theory, the text remains a serious exposition of a serious topic. In addition, his unique story-telling approach allows students to immediately apply game-theoretic skills to simple problems. Each chapter ends with a host of challenging exercises to help students practice the skills they have learned. The highly anticipated revision, expected in 2003, will include more coverage of cooperative game theory and a more accessible presentation--with chapters broken up into smaller chunks and an abundance of economic examples integrated throughout the text.

Published simultaneously in Canada.

Bibliography: ( pages xxvii-xxix) and index.

Introduction -- Winning out -- Taking chances -- Accounting for tastes -- Getting paid off -- Making deals -- Mixing things up -- Keeping your balance -- Repeating yourself -- Adjusting to circumstances -- Knowing your place -- Knowing who to believe -- Bluffing it out.

Table of contents provided by Syndetics

  • Teaching Guide
  • Introduction
  • What Is Game Theory About?
  • Where Is Game Theory Coming From?
  • Where Is Game Theory Going To?
  • What Can Game Theory Do for Us?
  • Conclusion
  • 1 Winning Out
  • 1.1 Introduction
  • 1.2 The Rules of the Game
  • 1.3 Strategies
  • 1.4 Zermelo's Algorithm
  • 1.5 Nim
  • 1.6 Hex
  • 1.7 Chess
  • 1.8 Rational Play? Conflict and Cooperation Exercises
  • 2. Taking Chances
  • 2.1 Introduction
  • 2.2 Lotteries
  • 2.3 Game Values
  • 2.4 Duel
  • 2.5 Parcheesi
  • 2.6 Exercises
  • 3 Accounting for Tastes
  • 3.1 Rational Preferences
  • 3.2 Utility Functions
  • 3.3 Russian Roulette
  • 3.4 Making Risky Choices
  • 3.5 Utility Scales
  • 3.6 The Noble Savage
  • 3.7 Exercises
  • 4 Getting Paid Off
  • 4.1 Payoffs
  • 4.2 Bimatrix Games
  • 4.3 Matrices
  • 4.4 Vectors
  • 4.5 Hyperplanes
  • 4.6 Domination
  • 4.7 Russian Roulette Again
  • 4.8 Exercises
  • 5 Making Deals
  • 5.1 Introduction
  • 5.2 Convexity
  • 5.3 Cooperative Payoff Regions
  • 5.4 The Bargaining Set
  • 5.5 Nash Bargaining Solutions
  • 5.6 Dividing the Dollar
  • 5.7 Cooperative and Noncooperative Games
  • 5.8 Bargaining Models
  • 5.9 Exercises
  • 6 Mixing Things Up
  • 6.1 Introduction
  • 6.2 Minimax and Maximin
  • 6.3 Safety First
  • 6.4 Mixed Strategies
  • 6.5 Zero-Sum Games
  • 6.6 Separating Hyperplanes
  • 6.7 Battleships
  • 6.8 The Inspection Game Nash Threat Game Exercises
  • 7 Keeping Your Balance
  • 7.1 Reaction Curves
  • 7.2 Oligopoly and Perfect Competition
  • 7.3 Equilibrium Selection
  • 7.4 Nash Demand Game
  • 7.5 Pre-play Negotiation
  • 7.6 Pre-play Randomization
  • 7.7 When Do Nash Equilibria Exist?
  • 7.8 Hexing Brouwer
  • 7.9 Exercises
  • 8 Repeating Yourself
  • 8.1 Reciprocity
  • 8.2 Repeating a Zero-Sum Game
  • 8.3 Repeating the Prisoners' Dilemma
  • 8.4 Infinite Repetitions
  • 8.5 Social Contract
  • 8.6 Exercises
  • 9 Adjusting to Circumstances
  • 9.1 Spontaneous Order
  • 9.2 Bounded Rationality
  • 9.3 Economic Libration
  • 9.4 Social Libration
  • 9.5 Biological Libration
  • 9.6 Evolution Stability
  • 9.7 The Evolution of Cooperation
  • 9.8 Exercises
  • 10 Knowing Your Place
  • 10.1 Bob's Your Uncle
  • 10.2 Knowledge
  • 10.3 Possibility
  • 10.4 Information Sets
  • 10.5 Bayesian Updating
  • 10.6 Common Knowledge
  • 10.7 Agreeing to Disagree? Common Knowledge in Game Theory Exercises
  • 11 Knowing Who to Believe
  • 11.1 Complete and Incomplete Information
  • 11.2 Typecasting
  • 11.3 Bayesian Equilibrium
  • 11.4 Continuous Random Variables
  • 11.5 Duopoly with Incomplete Information
  • 11.6 Purification
  • 11.7 Auctions and Mechanism Design
  • 11.8 Assessment Equilibrium
  • 11.9 More Agreeing to Disagree
  • 11.10 Exercises
  • 12 Bluffing It Out
  • 12.1 Poker
  • 12.2 Conditional Probability Densities
  • 12.3 Borel's Poker Model
  • 12.4 Von Neuman's Poker Model
  • 12.5 Why Bluff?
  • 12.6 Nash and Shapley's Poker Model
  • 12.7 Conclusion
  • Answers
  • Index