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  • © 2015

Game Theory

A Multi-Leveled Approach

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  • Teaches the basics of game theory on a thorough level

  • Adapted for the needs of both undergraduate and graduate students

  • Covers most topics of interest in game theory, including cooperative game theory

Part of the book series: Springer Texts in Business and Economics (STBE)

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  • ISBN: 978-3-662-46950-7
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Table of contents (24 chapters)

  1. Front Matter

    Pages i-xvii
  2. Introduction

    • Hans Peters
    Pages 1-22
  3. Thinking Strategically

    1. Front Matter

      Pages 23-23
    2. Finite Two-Person Zero-Sum Games

      • Hans Peters
      Pages 25-35
    3. Finite Two-Person Games

      • Hans Peters
      Pages 37-49
    4. Finite Extensive Form Games

      • Hans Peters
      Pages 51-69
    5. Noncooperative Games: Extensions

      • Hans Peters
      Pages 89-120
    6. Repeated Games

      • Hans Peters
      Pages 121-138
    7. An Introduction to Evolutionary Games

      • Hans Peters
      Pages 139-150
    8. Cooperative Game Models

      • Hans Peters
      Pages 171-191
    9. Social Choice

      • Hans Peters
      Pages 193-203
  4. Noncooperative Games

    1. Front Matter

      Pages 205-205
    2. Matrix Games

      • Hans Peters
      Pages 207-213
    3. Finite Games

      • Hans Peters
      Pages 215-249
    4. Extensive Form Games

      • Hans Peters
      Pages 251-271
    5. Evolutionary Games

      • Hans Peters
      Pages 273-288
  5. Cooperative Games

    1. Front Matter

      Pages 289-289

About this book

This textbook presents the basics of game theory both on an undergraduate level and on a more advanced mathematical level. It is the second, revised version of the successful 2008 edition. The book covers most topics of interest in game theory, including cooperative game theory. Part I presents introductions to all these topics on a basic yet formally precise level. It includes chapters on repeated games, social choice theory, and selected topics such as bargaining theory, exchange economies, and matching. Part II goes deeper into noncooperative theory and treats the theory of zerosum games, refinements of Nash equilibrium in strategic as well as extensive form games, and evolutionary games. Part III covers basic concepts in the theory of transferable utility games, such as core and balancedness, Shapley value and variations, and nucleolus. Some mathematical tools on duality and convexity are collected in Part IV. Every chapter in the book contains a problem section. Hints, answers and solutions are included.

Keywords

  • Applications of game theory
  • Bargaining
  • Cooperative games
  • Duality
  • Equilibrium
  • Game theory
  • Nash equilibrium
  • Noncooperative games
  • Social choice
  • Utility

Reviews

“It can be used at an advanced undergraduate course or a graduate course. … I found the book very well written and appropriate for a game theory course focused on business and economics students and applications. Some of the problems are very challenging but most of them are at the appropriate level and the reader will have some fun and learn from them. This is a book that I recommend if you are interested in game theory … .” (Philosophy, Religion and Science Book Reviews, bookinspections.wordpress.com, June, 2016)

“This book is therefore a very successful work on the task of providing the largest number of readers, independently of the initial levels of knowledge, an introduction to game theory simultaneously accessible and rigorous, with a wide exemplification of applications, allowing them to achieve efficiently an advanced level of knowledge in the field. Indispensable for teachers and both undergraduate and graduate students in game theory. Also for business and economics professionals, and everybody curious on these matters.” (Manuel Alberto M. Ferreira, Acta Scientiae et Intellectus, Vol. 2 (4), 2016)

Authors and Affiliations

  • Department of Quantitative Economics, Maastricht University, Maastricht, The Netherlands

    Hans Peters

About the author

Hans Peters studied mathematics at the Radboud University (Nijmegen, The Netherlands), where he graduated in 1982. Since 1984 he has been working at Maastricht University, at the Department of Quantitative Economics and the Department of Mathematics. He received his Ph.D. from Radboud University in 1986.

He is Professor of Quantitative Economics, in particular Mathematical Economics, at the Department of Quantitative Economics, School of Business and Economics, Maastricht University. He is also Honorar Professor at the Rheinisch-Westfälische Technische Hochschule, Aachen, Germany.

He is a Fellow of the Society for the Advancement of Economic Theory SAET.

His main research interests are game theory and social choice theory, and he is currently an editor of Social Choice and Welfare, Games and Economic Behavior, and Mathematical Social Sciences, and main editor of the Theory and Decision Library Series C: Game Theory, Social Choice, Decision Theory, and Optimization, published by Springer (http://www.springer.com/series/6618).

Bibliographic Information

Buying options

eBook
USD 54.99
Price excludes VAT (USA)
  • ISBN: 978-3-662-46950-7
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD 69.99
Price excludes VAT (USA)
Hardcover Book
USD 99.99
Price excludes VAT (USA)