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Nonlinear Programming Techniques for Equilibria
Giancarlo Bigi
Marco Castellani
Massimo Pappalardo
Mauro Passacantando
出版
Springer
, 2018-09-20
主題
Business & Economics / Operations Research
Business & Economics / Economics / Theory
Mathematics / Game Theory
Business & Economics / General
ISBN
3030002055
9783030002053
URL
http://books.google.com.hk/books?id=F3hvDwAAQBAJ&hl=&source=gbs_api
EBook
SAMPLE
註釋
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.
