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Cover

Games and Decision Making

Second Edition

Charalambos D. Aliprantis and Subir K. Chakrabarti

Publication Date - December 2010

ISBN: 9780195300222

480 pages
Hardcover
7-1/2 x 9-1/4 inches

In Stock

Retail Price to Students: $189.99

A carefully crafted and rigorous treatment of game theory, with a math-oriented approach

Description

Games and Decision Making, Second Edition, is a unique blend of decision theory and game theory. From classical optimization to modern game theory, authors Charalambos D. Aliprantis and Subir K. Chakrabarti show the importance of mathematical knowledge in understanding and analyzing issues in decision making. Through an imaginative selection of topics, Aliprantis and Chakrabarti treat decision and game theory as part of one body of knowledge. They move from problems involving the individual decision-maker to progressively more complex problems such as sequential rationality, auctions, and bargaining. By building each chapter on material presented earlier, the authors offer a self-contained and comprehensive treatment of these topics.

Successfully class-tested in an advanced undergraduate course at the Krannert School of Management and in a graduate course in economics at Indiana University, Games and Decision Making, Second Edition, is an essential text for advanced undergraduates and graduate students of decision theory and game theory. The book is accessible to students who have a good basic understanding of elementary calculus and probability theory.

New to this Edition

  • Chapter 2 includes new sections on two-person games, best-response strategies, mixed strategies, and incomplete information
  • Chapter 4 has been expanded to provide new material on behavior strategies and applications
  • The chapter on auctions (5) includes a new section on revenue equivalence
  • Offers two new chapters, on repeated games (7) and existence results (9)
  • New applications have been added to all the chapters

About the Author(s)

The late Charalambos D. Aliprantis was distinguished Professor at the Krannert School of Management at Purdue University. During a career that spanned almost forty years, he published more than one hundred articles in the major journals in economic theory and mathematics and authored half a dozen books on economic theory and mathematics.

Subir K. Chakrabarti is Professor in the Department of Economics at Indiana University and Purdue University at Indianapolis. He has written more than twenty publications, with articles in journals such as Econometrica, Journal of Economic Theory, Journal of Mathematical Economics, International Economic Review, and Journal of Public Economics.

Previous Publication Date(s)

December 2010
July 1999

Table of Contents

    Preface

    Chapter 1. Choices
    1.1. Functions
    1.2. The optimization problem
    1.3. First- and second-order conditions
    1.4. Optimizing using the Lagrange method
    1.5. Uncertainty and chance
    1.6. Decision making under uncertainty

    Chapter 2. Decisions and Games
    2.1. Two-person matrix games
    2.2. Strategic games
    2.3. Dominant and dominated strategies
    2.4. Solving matrix games with mixed strategies
    2.5. Examples of two-person games
    2.6. Best responses and Nash equilibria
    2.7. Games with incomplete information
    2.8. Applications

    Chapter 3. Sequential Decisions
    3.1. Graphs and trees
    3.2. Single-person sequential decisions
    3.3. Uncertainty and single-person decisions

    Chapter 4. Sequential Games
    4.1. The structure of sequential games
    4.2. Equilibria in sequential games
    4.3. Applications of sequential games
    4.4. Solving sequential games with behavior strategies

    Chapter 5. Auctions
    5.1. Auctions with complete information
    5.2. English auctions
    5.3. Individual private-value auctions
    5.4. Common-value auctions
    5.5. Revenue equivalence

    Chapter 6. Bargaining
    6.1. The Nash solution
    6.2. Monotonicity in bargaining
    6.3. The core of a bargaining game
    6.4. An allocation rule: the Shapley value
    6.5. Two-person sequential bargaining

    Chapter 7. Repeated Games
    7.1. The structure and equilibria of repeated games
    7.2. Subgame perfection in finite-horizon repeated games
    7.3. Infinite-horizon repeated games
    7.4. The Folk theorem and subgame perfect equilibrium
    7.5. Applications of repeated and sequential games

    Chapter 8. Sequential Rationality
    8.1. The market for lemons
    8.2. Beliefs and strategies
    8.3. Consistency of beliefs
    8.4. Expected payoff
    8.5. Sequential equilibrium
    8.6. Perfect Bayesian equilibrium
    8.7. Signaling games
    8.8. Applications

    Chapter 9. Existence of Equilibria
    9.1. Some Mathematical Preliminaries
    9.2. Zero-sum games
    9.3. Existence of equilibrium in strategic form games
    9.4. Existence of equilibrium in sequential games
    9.5. Existence of sequential equilibrium

    Bibliography

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