Pareto optimality, game theory and equilibria

Hoang Tuy (auth.), Altannar Chinchuluun, Panos M. Pardalos, Athanasios Migdalas, Leonidas Pitsoulis (eds.)0387772464, 9780387772462, 9780387772479, 0387772472

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.

Table of contents :
Front Matter….Pages i-xxi
Minimax: Existence and Stability….Pages 3-21
Recent Advances in Minimax Theory and Applications….Pages 23-52
On Noncooperative Games, Minimax Theorems, and Equilibrium Problems….Pages 53-94
Nonlinear Games….Pages 95-117
Scalar Asymptotic Contractivity and Fixed Points for Nonexpansive Mappings on Unbounded Sets….Pages 119-130
Cooperative Combinatorial Games….Pages 131-157
Algorithmic Cooperative Game Theory….Pages 159-185
A Survey of Bicooperative Games….Pages 187-216
Cost Allocation in Combinatorial Optimization Games….Pages 217-247
Time-Dependent Equilibrium Problems….Pages 249-266
Differential Games of Multiple Agents and Geometric Structures….Pages 267-306
Convexity in Differential Games….Pages 307-348
Game Dynamic Problems for Systems with Fractional Derivatives….Pages 349-386
Projected Dynamical Systems, Evolutionary Variational Inequalities, Applications, and a Computational Procedure….Pages 387-406
Strategic Audit Policies Without Commitment….Pages 407-436
Optimality and Efficiency in Auctions Design: A Survey….Pages 437-454
Solution Concepts and an Approximation Kuhn–Tucker Approach for Fuzzy Multiobjective Linear Bilevel Programming….Pages 457-480
Pareto Optimality….Pages 481-515
Multiobjective Optimization: A Brief Overview….Pages 517-528
Parametric Multiobjective Optimization….Pages 529-538
The Extended Linear Complementarity Problem and Its Applications in Analysis and Control of Discrete-Event Systems….Pages 541-570
Traffic Assignment: Equilibrium Models….Pages 571-592
Investment Paradoxes in Electricity Networks….Pages 593-608
Algorithms for Network Interdiction and Fortification Games….Pages 609-644
Game Theoretical Approaches in Wireless Networks….Pages 645-663
Multiobjective Control of Time-Discrete Systems and Dynamic Games on Networks….Pages 665-757
A Military Application of Viability: Winning Cones, Differential Inclusions, and Lanchester Type Models for Combat….Pages 759-797
Statics and Dynamics of Global Supply Chain Networks….Pages 799-832
Game Theory Models and Their Applications in Inventory Management and Supply Chain….Pages 833-865