Pareto Optimality, Game Theory and Equilibria (Springer Optimization and Its Applications)

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.

Contents
Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . VII
List of Contributors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XVII
Part I Game and Game Theory
Minimax: Existence and Stability
Hoang Tuy . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
Recent Advances in Minimax Theory and Applications
Biagio Ricceri . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23
On Noncooperative Games, Minimax Theorems,
and Equilibrium Problems
Johannes B.G. Frenk, G碼bor Kassay . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53
Nonlinear Games
Ferenc Szidarovszky . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 95
Scalar Asymptotic Contractivity and Fixed Points
for Nonexpansive Mappings on Unbounded Sets
George Isac . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 119
Cooperative Combinatorial Games
Imma Curiel . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 131
Algorithmic Cooperative Game Theory
Xiaotie Deng, Qizhi Fang . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 159
A Survey of Bicooperative Games
Jes磚s M. Bilbao, Julio R. Fern碼ndez, Nieves Jim磂nez, Jorge J. L磑pez . . . 187
Cost Allocation in Combinatorial Optimization Games
Yannis Marinakis, Athanasios Migdalas, Panos M. Pardalos . . . . . . . . . . . 217
XIV Contents
Time-Dependent Equilibrium Problems
Antonino Maugeri, Carmela Vitanza . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 249
Differential Games of Multiple Agents and Geometric
Structures
Panos M. Pardalos, Vitaliy A. Yatsenko, Altannar Chinchuluun,
Artyom G. Nahapetyan . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 267
Convexity in Differential Games
Valentin Ostapenko . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 307
Game Dynamic Problems for Systems with Fractional
Derivatives
Arkadii A. Chikrii . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 349
Projected Dynamical Systems, Evolutionary Variational
Inequalities, Applications, and a Computational Procedure
Monica朑abriela Cojocaru, Patrizia Daniele, Anna Nagurney . . . . . . . . . 387
Strategic Audit Policies Without Commitment
Kalyan Chatterjee, Sanford Morton, Arijit Mukherji . . . . . . . . . . . . . . . . . . 407
Optimality and Efficiency in Auctions Design: A Survey
Roger L. Zhan . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 437
Part II Multiobjective, KKT, Bilevel
Solution Concepts and an Approximation Kuhn朤ucker
Approach for Fuzzy Multiobjective Linear Bilevel
Programming
Guangquan Zhang, Jie Lu, Tharam Dillon . . . . . . . . . . . . . . . . . . . . . . . . . . 457
Pareto Optimality
Dinh The Luc . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 481
Multiobjective Optimization: A Brief Overview
Massimo Pappalardo . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 517
Parametric Multiobjective Optimization
Rentsen Enkhbat, Jurgen Guddat, Altannar Chinchuluun . . . . . . . . . . . . . . 529
Part III Applications
The Extended Linear Complementarity Problem and Its
Applications in Analysis and Control of Discrete-Event
Systems
Bart De Schutter . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 541
Contents XV
Traffic Assignment: Equilibrium Models
Michael Florian, Donald W. Hearn . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 571
Investment Paradoxes in Electricity Networks
Mette Bj鴕ndal, Kurt J鴕nsten. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 593
Algorithms for Network Interdiction and Fortification Games
J. Cole Smith, Churlzu Lim . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 609
Game Theoretical Approaches in Wireless Networks
Manki Min . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 645
Multiobjective Control of Time-Discrete Systems
and Dynamic Games on Networks
Dmitrii Lozovanu . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 665
A Military Application of Viability: Winning Cones,
Differential Inclusions, and Lanchester Type Models
for Combat
George Isac, Alain Gosselin . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 759
Statics and Dynamics of Global Supply Chain Networks
Anna Nagurney, Jose Cruz, Fuminori Toyasaki . . . . . . . . . . . . . . . . . . . . . . 799
Game Theory Models and Their Applications in Inventory
Management and Supply Chain
Altannar Chinchuluun, Athanasia Karakitsiou,
Athanasia Mavrommati . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 833