Pareto Optimality, Game Theory And Equilibria

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 imp

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Springer Optimization and Its Applications VOLUME 17 Managing Editor Panos M. Pardalos (University of Florida) Editor—Combinatorial Optimization Ding-Zhu Du (University of Texas at Dallas) Advisory Board J. Birge (University of Chicago) C.A. Floudas (Princeton University) F. Giannessi (University of Pisa) H.D. Sherali (Virginia Polytechnic and State University) T. Terlaky (McMaster University) Y. Ye (Stanford University)

Aims and Scope Optimization has been expanding in all directions at an astonishing rate during the last few decades. New algorithmic and theoretical techniques have been developed, the diffusion into other disciplines has proceeded at a rapid pace, and our knowledge of all aspects of the field has grown even more profound. At the same time, one of the most striking trends in optimization is the constantly increasing emphasis on the interdisciplinary nature of the field. Optimization has been a basic tool in all areas of applied mathematics, engineering, medicine, economics and other sciences. The series Optimization and Its Applications publishes undergraduate and graduate textbooks, monographs and state-of-the-art expository works that focus on algorithms for solving optimization problems and also study applications involving such problems. Some of the topics covered include nonlinear optimization (convex and nonconvex), network flow problems, stochastic optimization, optimal control, discrete optimization, multiobjective programming, description of software packages, approximation techniques and heuristic approaches.

PARETO OPTIMALITY, GAME THEORY AND EQUILIBRIA Edited By ALTANNAR CHINCHULUUN University of Florida, Gainesville, FL PANOS M. PARDALOS University of Florida, Gainesville, FL ATHANASIOS MIGDALAS Technical University of Crete, Greece LEONIDAS PITSOULIS Aristotle University of Thessaloniki, Greece

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Altannar Chinchuluun Department of Industrial and Systems Engineering University of Florida Gainesville, FL

Panos M. Pardalos Department of Industrial and Systems Engineering University of Florida Gainesville, FL

Athanasios Migdalas Department of Production Engineering and Management Technical University of Crete Greece

Leonidas Pitsoulis Department of Production Engineering and Management Aristotle University of Thessaloniki Greece

Managing Editor: Panos M. Pardalos Department of Industrial and Systems Engineering University of Florida Gainesville, FL 32611 [email protected] @

ISBN 978-0-387-77246-2 DOI:10.1007/978-0-387-77247-9

Editor/ Combinatorial Optimization Ding-Zhu Du Department of Computer Science and Engineering University of Texas at Dallas RRichardson, TX 75083 [email protected]

e-ISBN 978-0-387-77247-9

Library of Congress Control Number: 2007942554 Mathematics Subject Classification (2000): 49K35, 49N15, 49N70, 49N75, 49N90, 90B05, 90B06, 90B10, 90B20, 90B50, 90C05, 90C10, 90C29, 90C31, 90C46, 90C47, 90C90, 91A05, 91A06, 91A10, 91A12, 91A25, 91A35, 91A40, 91A43, 91A46, 91A65, 91A80, 91B06, 91B26, 91B28, 91B50, 93A13 © 2008 by Springer Science+Business Medi