PORTO-
FREI

Nonlinear Programming Techniques for Equilibria

von Bigi, Giancarlo / Castellani, Marco / Pappalardo, Massimo / Passacantando, Mauro   (Autor)

This book considers a range of problems in operations research, which are formulated through various mathematical models such as complementarity, variational inequalities, multiobjective optimization, fixed point problems, noncooperative games and inverse optimization. Moreover, the book subsumes all these models under a common structure that allows them to be formulated in a unique format: the Ky Fan inequality. It subsequently focuses on this unifying equilibrium format, providing a comprehensive overview of the main theoretical results and solution algorithms, together with a wealth of applications and numerical examples. Particular emphasis is placed on the role of nonlinear optimization techniques - e.g. convex optimization, nonsmooth calculus, proximal point and descent algorithms - as valuable tools for analyzing and solving Ky Fan inequalities.

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Produktbeschreibung

This book considers a range of problems in operations research, which are formulated through various mathematical models such as complementarity, variational inequalities, multiobjective optimization, fixed point problems, noncooperative games and inverse optimization. Moreover, the book subsumes all these models under a common structure that allows them to be formulated in a unique format: the Ky Fan inequality. It subsequently focuses on this unifying equilibrium format, providing a comprehensive overview of the main theoretical results and solution algorithms, together with a wealth of applications and numerical examples. Particular emphasis is placed on the role of nonlinear optimization techniques - e.g. convex optimization, nonsmooth calculus, proximal point and descent algorithms - as valuable tools for analyzing and solving Ky Fan inequalities. 

Inhaltsverzeichnis

Equilibrium models and applications.- Theory for equilibria.- Algorithms for equilibria.- Quasi-equilibria.- References - Index 

Produktdetails

Medium: Buch
Format: Gebunden
Seiten: viii, 120
Sprache: Englisch
Erschienen: Oktober 2018
Auflage: 2019
Sonstiges: .978-3-030-00204-6
Maße: 241 x 160 mm
Gewicht: 366 g
ISBN-10: 3030002047
ISBN-13: 9783030002046
Verlagsbestell-Nr.: 978-3-030-00204-6

Bestell-Nr.: 24276936 
Libri-Verkaufsrang (LVR):
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Bestell-Nr. Verlag: 978-3-030-00204-6

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KNO-SAMMLUNG: EURO Advanced Tutorials on Operational Research
P_ABB: 10 schwarz-weiße Abbildungen, Bibliographie
KNOABBVERMERK: 2019. viii, 120 S. 6 SW-Abb. 235 mm
KNOSONSTTEXT: .978-3-030-00204-6
Einband: Gebunden
Auflage: 2019
Sprache: Englisch
Beilage(n): Book

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