Nonlinear programming techniques for equilibria
著者
書誌事項
Nonlinear programming techniques for equilibria
（Euro advanced tutorials on operational research / series editors, M. Grazia Speranza, José Fernando Oliveira）
Springer, c2019
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注記
Other [authors]: Marco Castellani, Massimo Pappalardo, Mauro Passacantando
Includes bibliographical references (p.113-118) and index
内容説明・目次
内容説明
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.
目次
Equilibrium models and applications.- Theory for equilibria.- Algorithms for equilibria.- Quasi-equilibria.- References - Index
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