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Nonlinear programming techniques for...

Bigi, Giancarlo.

Nonlinear programming techniques for equilibria

Record Type:	Electronic resources : Monograph/item
Title/Author:	Nonlinear programming techniques for equilibriaby Giancarlo Bigi ... [et al.].
other author:	Bigi, Giancarlo.
Published:	Cham :Springer International Publishing :2019.
Description:	viii, 120 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Operations research.
Online resource:	https://doi.org/10.1007/978-3-030-00205-3
ISBN:	9783030002053$q(electronic bk.)

Nonlinear programming techniques for equilibria
Nonlinear programming techniques for equilibria[electronic resource] /by Giancarlo Bigi ... [et al.]. - Cham :Springer International Publishing :2019. - viii, 120 p. :ill., digital ;24 cm. - EURO advanced tutorials on operational research,2364-687X. - EURO advanced tutorials on operational research..

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

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.

ISBN: 9783030002053$q(electronic bk.)

Standard No.: 10.1007/978-3-030-00205-3doiSubjects--Topical Terms:

182516
Operations research.

LC Class. No.: HD30.23

Dewey Class. No.: 658.40301

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505 0 $a Equilibrium models and applications -- Theory for equilibria -- Algorithms for equilibria -- Quasi-equilibria -- References - Index.
520 $a 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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