Pareto Optimality, Game Theory and Equilibria

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Panos M. Pardalos, A. Migdalas, Leonidas Pitsoulis
Springer Science & Business Media, Jul 2, 2008 - Mathematics - 865 pages
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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 29 survey chapters written by distinguished researchers in the above areas.

 

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Contents

Existence and Stability
3
Recent Advances in Minimax Theory and Applications
22
On Noncooperative Games Minimax Theorems and Equilibrium Problems
53
Nonlinear Games
95
Scalar Asymptotic Contractivity and Fixed Points for Nonexpansive Mappings on Unbounded Sets
119
Cooperative Combinatorial Games
131
Algorithmic Cooperative Game Theory
158
A Survey of Bicooperative Games
187
A Survey
437
Solution Concepts and an Approximation KuhnTucker Approach for Fuzzy Multiobjective Linear Bilevel Programming
457
Pareto Optimality
481
A Brief Overview
516
Parametric Multiobjective Optimization
529
The Extended Linear Complementarity Problem and Its Applications in Analysis and Control of DiscreteEvent Systems
541
Equilibrium Models
571
Investment Paradoxes in Electricity Networks
593

Cost Allocation in Combinatorial Optimization Games
217
TimeDependent Equilibrium Problems
248
Differential Games of Multiple Agents and Geometric Structures
267
Convexity in Differential Games
307
Game Dynamic Problems for Systems with Fractional Derivatives
349
Projected Dynamical Systems Evolutionary Variational Inequalities Applications and a Computational Procedure
387
Strategic Audit Policies Without Commitment
407
Algorithms for Network Interdiction and Fortification Games
609
Game Theoretical Approaches in Wireless Networks
645
Multiobjective Control of TimeDiscrete Systems and Dynamic Games on Networks
664
Winning Cones Differential Inclusions and Lanchester Type Models for Combat
759
Statics and Dynamics of Global Supply Chain Networks
798
Game Theory Models and Their Applications in Inventory Management and Supply Chain
833
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