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Pareto Optimality, Game Theory and Equilibria

  • Book
  • © 2008

Overview

Editors:
  1. Altannar Chinchuluun

    1. Department of Industrial and Systems Engineering, University of Florida, Gainesville, USA

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  2. Panos M. Pardalos

    1. Department of Industrial and Systems Engineering, University of Florida, Gainesville, USA

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  3. Athanasios Migdalas

    1. Department of Production Engineering and Management, Technical University of Crete, Greece

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  4. Leonidas Pitsoulis

    1. Department of Production Engineering and Management, Aristotle University of Thessaloniki, Greece

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  • Includes significant original contributions of the authors to the research area
  • No other recent contributed volume is devoted to new developments in the field with such a wide array of applications
  • Several chapters include unique open problems

Part of the book series: Springer Optimization and Its Applications (SOIA, volume 17)

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Table of contents (29 chapters)

  1. Front Matter

    Pages i-xxi
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  2. Game and Game Theory

    1. Minimax: Existence and Stability

      • Hoang Tuy
      Pages 3-21

    2. Recent Advances in Minimax Theory and Applications

      • Biagio Ricceri
      Pages 23-52

    3. On Noncooperative Games, Minimax Theorems, and Equilibrium Problems

      • Johannes B. G. Frenk, Gábor Kassay
      Pages 53-94

    4. Nonlinear Games

      • Ferenc Szidarovszky
      Pages 95-117

    5. Scalar Asymptotic Contractivity and Fixed Points for Nonexpansive Mappings on Unbounded Sets

      • George Isac
      Pages 119-130

    6. Cooperative Combinatorial Games

      • Imma Curiel
      Pages 131-157

    7. Algorithmic Cooperative Game Theory

      • Xiaotie Deng, Qizhi Fang
      Pages 159-185

    8. A Survey of Bicooperative Games

      • Jesús M. Bilbao, Julio R. Fernández, Nieves Jiménez, Jorge J. López
      Pages 187-216

    9. Cost Allocation in Combinatorial Optimization Games

      • Yannis Marinakis, Athanasios Migdalas, Panos M. Pardalos
      Pages 217-247

    10. Time-Dependent Equilibrium Problems

      • Antonino Maugeri, Carmela Vitanza
      Pages 249-266

    11. Differential Games of Multiple Agents and Geometric Structures

      • Panos M. Pardalos, Vitaliy A. Yatsenko, Altannar Chinchuluun, Artyom G. Nahapetyan
      Pages 267-306

    12. Convexity in Differential Games

      • Valentin Ostapenko
      Pages 307-348

    13. Game Dynamic Problems for Systems with Fractional Derivatives

      • Arkadii A. Chikrii
      Pages 349-386

    14. Projected Dynamical Systems, Evolutionary Variational Inequalities, Applications, and a Computational Procedure

      • Monica–Gabriela Cojocaru, Patrizia Daniele, Anna Nagurney
      Pages 387-406

    15. Strategic Audit Policies Without Commitment

      • Kalyan Chatterjee, Sanford Morton, Arijit Mukherji
      Pages 407-436

    16. Optimality and Efficiency in Auctions Design: A Survey

      • Roger L. Zhan
      Pages 437-454

  3. Multiobjective, KKT, Bilevel

    1. Solution Concepts and an Approximation Kuhn–Tucker Approach for Fuzzy Multiobjective Linear Bilevel Programming

      • Guangquan Zhang, Jie Lu, Tharam Dillon
      Pages 457-480

    2. Pareto Optimality

      • Dinh The Luc
      Pages 481-515

    3. Multiobjective Optimization: A Brief Overview

      • Massimo Pappalardo
      Pages 517-528
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Keywords

About this book

This comprehensive work examines important recent developments and modern applications in the fields of optimization, control, game theory, and equilibrium programming. In particular, the concepts of equilibrium and optimality are of immense practical importance affecting decision-making problems regarding policy and strategies, and in understanding and predicting systems in different application domains, ranging from economics and engineering to military applications.

The book consists of twenty-nine survey chapters written by distinguished researchers in the above areas.

Editors and Affiliations

  • Department of Industrial and Systems Engineering, University of Florida, Gainesville, USA

    Altannar Chinchuluun, Panos M. Pardalos

  • Department of Production Engineering and Management, Technical University of Crete, Greece

    Athanasios Migdalas

  • Department of Production Engineering and Management, Aristotle University of Thessaloniki, Greece

    Leonidas Pitsoulis

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