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Smart Innovation, Systems and Technologies

Pareto-Nash-Stackelberg Game and Control Theory

Intelligent Paradigms and Applications

Authors: Ungureanu, Valeriu

  • Exposes a comprehensive new, multi-objective and integrative view on traditional game and control theories
  • Includes numerous examples that help readers understand the theory
  • Consists of three parts dedicated to noncooperative games, mixtures of simultaneous and sequential multi-objective games, and to multi-agent control of Pareto-Nash-Stackelberg type respectively
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Buy this book

eBook $129.00
price for USA in USD (gross)
  • ISBN 978-3-319-75151-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.99
price for USA in USD
  • ISBN 978-3-319-75150-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

This book presents a comprehensive new, multi-objective and integrative view on traditional game and control theories. Consisting of 15 chapters, it is divided into three parts covering noncooperative games; mixtures of simultaneous and sequential multi-objective games; and multi-agent control of Pareto-Nash-Stackelberg-type games respectively. Can multicriteria optimization, game theory and optimal control be integrated into a unique theory? Are there mathematical models and solution concepts that could constitute the basis of a new paradigm? Is there a common approach and method to solve emerging problems? The book addresses these and other related questions and problems to create the foundation for the Pareto-Nash-Stackelberg Game and Control Theory. It considers a series of simultaneous/Nash and sequential/Stackelberg games, single-criterion and multicriteria/Pareto games, combining Nash and Stackelberg game concepts and Pareto optimization, as well as a range of notions related to system control. In addition, it considers the problems of finding and representing the entire set of solutions. Intended for researches, professors, specialists, and students in the areas of game theory, operational research, applied mathematics, economics, computer science and engineering, it also serves as a textbook for various courses in these fields.

Table of contents (15 chapters)

  • Introduction

    Ungureanu, Valeriu

    Pages 1-40

  • Nash Equilibrium Conditions as Extensions of Some Classical Optimisation Theorems

    Ungureanu, Valeriu

    Pages 43-55

  • Sets of Nash Equilibria in Polymatrix Mixed-Strategy Games

    Ungureanu, Valeriu

    Pages 57-81

  • Sets of Nash Equilibria in Bimatrix $$2\times 3$$ Mixed-Strategy Games

    Ungureanu, Valeriu

    Pages 83-96

  • Nash Equilibrium Sets in Dyadic Trimatrix Mixed-Strategy Games

    Ungureanu, Valeriu

    Pages 97-114

Buy this book

eBook $129.00
price for USA in USD (gross)
  • ISBN 978-3-319-75151-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.99
price for USA in USD
  • ISBN 978-3-319-75150-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Pareto-Nash-Stackelberg Game and Control Theory
Book Subtitle
Intelligent Paradigms and Applications
Authors
Series Title
Smart Innovation, Systems and Technologies
Series Volume
89
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG, part of Springer Nature
eBook ISBN
978-3-319-75151-1
DOI
10.1007/978-3-319-75151-1
Hardcover ISBN
978-3-319-75150-4
Series ISSN
2190-3018
Edition Number
1
Number of Pages
XXI, 343
Topics