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  • © 2008

Game Theory

A Multi-Leveled Approach

Authors:

  • 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
  • Includes supplementary material: sn.pub/extras

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Table of contents (22 chapters)

  1. Front Matter

    Pages i-xv
  2. Noncooperative Games

    1. Matrix Games

      Pages 163-167
    2. Finite Games

      Pages 169-195
    3. Extensive Form Games

      Pages 197-212
    4. Evolutionary Games

      Pages 213-225
  3. Cooperative Games

    1. The Shapley Value

      Pages 241-258
    2. The Nucleolus

      Pages 271-284

About this book

This book presents the basics of game theory both on an undergraduate level and on a more advanced mathematical level. It 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 concludes with a problem section. Hints, answers and solutions are included.

Reviews

From the reviews:

“According to Hans Peters, ‘the best introduction to game theory is by means of examples’ and, consequently, the book starts with a set of well-chosen examples illustrating various game theoretic questions from different subfields, which are likely to generate interest … . Summarizing, the book is a perfectly well-presented textbook on classical game theory, written by an expert in the field with high pedagogical skills. It is recommendable for both mathematics and business administration or economic students.” (Walter Kern, Operations Research Letters, Vol. 38, 2010)

Authors and Affiliations

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

    Hans Peters

Bibliographic Information

Buy it now

Buying options

eBook USD 89.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Other ways to access