Game Theory: A Modeling Approach, 1st Edition (Hardback) book cover

Game Theory

A Modeling Approach, 1st Edition

By Richard Alan Gillman, David Housman

Chapman and Hall/CRC

330 pages | 150 B/W Illus.

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pub: 2019-05-09
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Description

Game Theory: A Modeling Approach quickly moves readers through the fundamental ideas of the subject to enable them to engage in creative modeling projects based on game theoretic concepts.

The authors match conclusions to real-world scenarios and applications. The text engages students in active learning, group work, in-class discussions and interactive simulations.

Each chapter provides foundation pieces or adds more features to help readers build game theoretic models. The chapters include definitions, concepts and illustrative examples. The text will engage and challenge both undergraduate and graduate students.

Features:

  • Enables readers to apply game theorty to real-world scenarios
  • Chapters can be used for core course materials or independent stuides
  • Exercises, included at the end of the chapters, follow the order of the sections in the text
  • Select answers and solutions are found at the end of the book
  • Solutions manual for instructors is available from the authors

Table of Contents

  1. Models and Games
  2. INTRODUCTION TO MODELING

    INTRODUCTION TO GAME THEORY

    EXAMPLES OF GAMES

    RATIONALITY ASSUMPTION

  3. Player Preferences
  4. ORDINAL UTILITIES

    VON NEUMANNMORGENSTERN

    UTILITIES

    CONSTRUCTING UTILITIES

    DETERMINING RISK

  5. Simultaneous Play
  6. STRATEGIC GAMES

    FINAL JEOPARDY

    MIXED STRATEGIES

    NONMATRIX

    MODELS

    LIMITATIONS

  7. Bilateral Agreements
  8. NEGOTIATIONS

    BARGAINING IN STRATEGIC GAMES

    FAIRNESS PROPERTIES

  9. Sequential Play
  10. SEQUENTIAL GAMES

    SUBGAME PERFECT EQUILIBRIA

    COMBINATORIAL GAMES

    MORAL HAZARD

  11. Missing Information
  12. IMPERFECT INFORMATION

    ROMANS AND GERMANS

    INCOMPLETE INFORMATION

    BARGAINING GAMES WITH PRIVATE INFORMATION

    INTERNATIONAL COLLABORATION

    AUCTIONS

  13. Repetitious Play
  14. REPEATED SOCIAL DILEMMAS

    MODELING NOISE

    EVOLUTIONARY GAME THEORY

  15. Multilateral Agreements
  16. SHAPLEY ARGUMENT

    NUCLEOLUS ARGUMENT

    BARGAINING ARGUMENT

    VOTING POWER

  17. Resource Allocation

RESOURCE ALLOCATION PROBLEM

BARGAINING AND COALITION MODELS

COMPLETE AND INCOMPLETE INFORMATION MODELS

CONCLUDING REMARKS

About the Authors

Richard Alan Gillman is a mathematics professor at Valparaiso University.

David Housman teaches courses in applied mathematics and computer science at Goshen College.

About the Series

Textbooks in Mathematics

Learn more…

Subject Categories

BISAC Subject Codes/Headings:
BUS049000
BUSINESS & ECONOMICS / Operations Research
MAT000000
MATHEMATICS / General
MAT011000
MATHEMATICS / Game Theory
MAT036000
MATHEMATICS / Combinatorics