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Pareto-Nash-Stackelberg Game and Control Theory

Intelligent Paradigms and Applications

  • Valeriu Ungureanu

Part of the Smart Innovation, Systems and Technologies book series (SIST, volume 89)

Table of contents

  1. Front Matter
    Pages i-xxi
  2. Valeriu Ungureanu
    Pages 1-40
  3. Noncooperative Games

  4. Mixtures of Simultaneous and Sequential Games

  5. Pareto-Nash-Stackelberg Game and Control Processes

  6. Back Matter
    Pages 329-343

About this book

Introduction

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.

Keywords

Smart Systems AI Pareto-Nash-Stackelberg Games Set of Nash Equilibria Set of Stackelberg Equilibria Strategic games on Digraphs

Authors and affiliations

  • Valeriu Ungureanu
    • 1
  1. 1.Faculty of Mathematics and Computer ScienceMoldova State UniversityChişinăuMoldova

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-75151-1
  • Copyright Information Springer International Publishing AG, part of Springer Nature 2018
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-75150-4
  • Online ISBN 978-3-319-75151-1
  • Series Print ISSN 2190-3018
  • Series Online ISSN 2190-3026
  • Buy this book on publisher's site