Nonlinear Programming Techniques for Equilibria / by Giancarlo Bigi, Marco Castellani, Massimo Pappalardo, Mauro Passacantando.
2019
HD30.23
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Title
Nonlinear Programming Techniques for Equilibria / by Giancarlo Bigi, Marco Castellani, Massimo Pappalardo, Mauro Passacantando.
Author
ISBN
9783030002053
3030002055
9783030002046
3030002047
3030002055
9783030002046
3030002047
Published
Cham : Springer International Publishing : Imprint : Springer, 2019.
Language
English
Description
1 online resource (VIII, 120 pages 6 illustrations) : illustrations
Item Number
10.1007/978-3-030-00205-3 doi
Call Number
HD30.23
Dewey Decimal Classification
658.40301
Summary
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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Access limited to authorized users.
Digital File Characteristics
text file PDF
Series
EURO advanced tutorials on operational research, 2364-687X
Available in Other Form
Print version: 9783030002046
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Table of Contents
Equilibrium models and applications
Theory for equilibria
Algorithms for equilibria
Quasi-equilibria
References
Index.
Theory for equilibria
Algorithms for equilibria
Quasi-equilibria
References
Index.