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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Hardback: 9781482248098
pub: 2019-04-29
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Description

This is an introductory game theory book that quickly moves readers through the fundamental ideas of game theory to enable them to engage in creative modeling projects based on game theoretic concepts. The book is linear, as the chapters are not independent. Readers should be able to build simple game theoretic models after chapter 3. Each subsequent chapter adds another feature to the reader’s model-building repertoire.

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
MAT011000
MATHEMATICS / Game Theory
MAT036000
MATHEMATICS / Combinatorics