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Coordinate Systems for Games

Simplifying the "me" and "we" Interactions

  • Daniel T. Jessie
  • Donald G. Saari
Book

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Daniel T. Jessie, Donald G. Saari
    Pages 1-20
  3. Daniel T. Jessie, Donald G. Saari
    Pages 21-57
  4. Daniel T. Jessie, Donald G. Saari
    Pages 59-95
  5. Daniel T. Jessie, Donald G. Saari
    Pages 97-134
  6. Daniel T. Jessie, Donald G. Saari
    Pages 135-152
  7. Daniel T. Jessie, Donald G. Saari
    Pages 153-174
  8. Daniel T. Jessie, Donald G. Saari
    Pages 175-197
  9. Daniel T. Jessie, Donald G. Saari
    Pages 199-200
  10. Back Matter
    Pages 201-205

About this book

Introduction

This monograph develops a method of creating convenient coordinate systems for game theory that will allow readers to more easily understand, analyze, and create games at various levels of complexity. By identifying the unique characterization of games that separates the individual’s strategic interests from the group’s collective behavior, the authors construct a single analytical methodology that readers will be able to apply to a wide variety of games. With its emphasis on practicality and approachability, readers will find this book an invaluable tool, and a viable alternative to the ad hoc analytical approach that has become customary for researchers utilizing game theory.

The introductory chapters serve two important purposes: they review several games of fundamental importance, and also introduce a dynamic that is inherent in games, but has gone unexplored until now. After this has been established, readers will advance from simple 2 x 2 games to games with more player strategies and dynamics. For interested readers, a rigorous treatment of the underlying mathematics is conveniently gathered at the end of the book. Additional topics of interest, such as extensive form and coalitional games, are presented to help readers visualize more complex settings that will be vital in aiding the understanding of advanced topics, such as coalition-free Nash points, multi-player repeated games, and more.

Coordinate Systems for Games is ideal for a wide variety of researchers interested in game theory, including social scientists, economists, mathematicians, computer scientists, and more. The authors' approachable style also makes this accessible to an audience at any scale of experience, from beginning non-specialists to more practiced researchers.

Keywords

Game Theory Coordinate System Finite game game Theory Game Theory Don Saari Dynamical systems Nash equlibrium Coalitional games 2 x 2 games Coalition-free Nash points Hawk-Dove game Stag Hunt game theory Battle of the Sexes game theory

Authors and affiliations

  • Daniel T. Jessie
    • 1
  • Donald G. Saari
    • 2
  1. 1.Department of Mathematics, Institute for Mathematical Behavioral SciencesUniversity of CaliforniaIrvineUSA
  2. 2.Department of Economics, Department of Mathematics, Institute for Mathematical Behavioral SciencesUniversity of CaliforniaIrvineUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-030-35847-1
  • Copyright Information Springer Nature Switzerland AG 2019
  • Publisher Name Birkhäuser, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-030-35846-4
  • Online ISBN 978-3-030-35847-1
  • Series Print ISSN 2363-8516
  • Series Online ISSN 2363-8524
  • Buy this book on publisher's site