Nonlinear programming techniques for equilibria

• 作者： Bigi, Giancarlo, author.
• 其他作者：
  • Castellani, Marco, author.
  • Pappalardo, Massimo, author.
  • Passacantando, Mauro, author.
  • SpringerLink (Online service)
• 其他題名：
  • EURO advanced tutorials on operational research.
• 出版： Cham : Springer International Publishing :Imprint: Springer
• 叢書名： EURO advanced tutorials on operational research,
• 主題： Operations research. , Economic theory. , Mathematics. , Operations Research/Decision Theory. , Operations Research, Management Science. , Economic Theory/Quantitative Economics/Mathematical Methods. , Game Theory, Economics, Social and Behav. Sciences.
• ISBN： 9783030002053 (electronic bk.) 、 9783030002046 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: Equilibrium models and applications -- Theory for equilibria -- Algorithms for equilibria -- Quasi-equilibria -- References - Index.
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• 摘要註: 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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