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This book presents a comprehensive treatment of necessary conditions for general optimization problems. The presentation is carried out in the context of a... Læs mere
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Presents a framework for the theory of primal-dual IPMs based on the notion of the self-regularity of a function. This book deals with linear optimization, nonlinear complementarity problems, semidefinite optimization, and second-order conic optimization problems.
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Develops a general stability analysis and control design framework for nonlinear large-scale interconnected dynamical systems, and presents a treatment on vector Lyapunov function methods, vector dissipativity theory, and decentralized control architectures.
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Game theory is central to understanding human behavior and relevant to all of the behavioral sciences -... Læs mere
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Simple games are mathematical structures inspired by voting systems in which a single alternative. The mathematical study of the subject as a... Læs mere
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Optimal Transport Methods in Economics is the first textbook on the subject written especially for students and researchers in economics. Optimal transport theory... Læs mere
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Presents an introduction to optimization through the use of illustrations and applications. This book focuses on analytically solving optimization problems with a... Læs mere
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Game theory--the study of how people make choices while interacting with others--is one of the most popular technical approaches in social science today. But as Michael Chwe... Læs mere
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In real-world problems related to finance, business, and management, mathematicians and economists frequently encounter optimization problems. This book develops linear... Læs mere
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Noncooperative Game Theory is aimed at students interested in using game theory as a design methodology for solving... Læs mere
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This book describes the latest advances in the theory of mean field games, which are optimal control problems with a continuum of players, each of them interacting with the whole statistical distribution of a population.
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Offers an introduction to the mathematical discipline known as the Theory of Games. This book opens by addressing 'matrix games'. It continues with a treatment of... Læs mere