Nonlinear Programming Techniques for Equilibria /

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 al...

Full description

Saved in:
Bibliographic Details
Author / Creator:Bigi, Giancarlo., author
Imprint:Cham : Springer International Publishing : Imprint : Springer, 2019.
Description:1 online resource (VIII, 120 pages 6 illustrations) : online resource
Language:English
Series:EURO Advanced Tutorials on Operational Research, 2364-687X
EURO advanced tutorials on operational research,
Subject:Operations research.
Economics.
Mathematics.
Economics.
Mathematics.
Operations research.
Electronic books.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11913399
Hidden Bibliographic Details
Other authors / contributors:Castellani, Marco., author
Pappalardo, Massimo., author
Passacantando, Mauro., author
ISBN:9783030002053
3030002055
9783030002046
3030002047
Digital file characteristics:text file PDF
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.
Other form:Printed edition: 9783030002046
Printed edition: 9783030002060
Standard no.:10.1007/978-3-030-00205-3