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Bosch provides a lively and accessible introduction to the geometric, algebraic, and algorithmic foundations of optimization. He presents classical applications, such as the legendary Traveling Salesman Problem, and shows how to adapt them to make optimization art--opt art. art.

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Explains the foundations of Bayesian decision theory and shows why Savage restricted the theory's application to small worlds. This title discusses the various philosophical attitudes related to the nature of probability and offers resolutions to paradoxes believed to hinder further progress.

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The description for this book, Advances in Game Theory. (AM-52), will be forthcoming.

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"Drawing upon methods from platform studies, software studies, media studies, and literary studies, Adventure Games reveals the genre's ludic (playful) and narrative origins and patterns, where character (and the player's embodiment of a character) is essential to the experience of play and the choices within a game"--

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Uses psychological principles and hundreds of experiments to develop mathematical theories of reciprocity, limited strategizing, and learning. This book discusses standard game theory and combines experimental evidence and psychology in a mathematical theory of normal strategic behavior. It is intended for students of economics and psychology.

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The theory of games, first given a rigorous formulation by von Neumann in 1928, is a subfield of mathematics and economics that models situations in which individuals compete and cooperate with each other. This book assembles the fundamental contributions in this field. It is useful for researchers in game theory and for students.

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These two new collections, numbers 28 and 29 respectively in the Annals of Mathematics Studies, continue the high standard set by the earlier Annals Studies 20 and 24 by bringing together important contributions to the theories of games and of nonlinear differential equations.

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The description for this book, Contributions to the Theory of Games (AM-40), Volume IV, will be forthcoming.

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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 games in extensive form and also deals with games that have an infinite number of pure strategies for the two players. It features examples and exercises, and various historical notes.

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Covers local search and its variants from both a theoretical and practical point of view. This book is suitable for students and researchers in discrete mathematics, computer science, operations research, industrial engineering, and management science.

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Presents the theory and the methods of nonlinear optimization, with proofs illustrated by examples and figures. This book covers convex analysis, the theory of optimality conditions, duality theory, and numerical methods for solving unconstrained and constrained optimization problems. It is aimed at graduate students and researchers.

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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 finite number of continuous variables. It also provides introductions to classical and modern numerical methods of optimization and to dynamic optimization.

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This volume contains thirty-three selected general research papers devoted to the theory and application of the mathematics of constrained optimization, including linear programming and its extensions to convex programming, general nonlinear programming, integer programming, and programming under uncertainty. Originally published in 1971. The Pri

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Features simple treatment of uncertain linear programming. This book also presents an analysis of the interconnections between the construction of appropriate uncertainty sets and the classical chance constraints (probabilistic) approach.

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Simple games are mathematical structures inspired by voting systems in which a single alternative, such as a bill, is pitted against the status quo. This mathematical study of the subject as a subfield in finite combinatorics blends new theorems with some of the results from threshold logic.

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When John Nash won the Nobel prize in economics in 1994, many people were surprised to learn that he was alive. This book presents Nash's contributions not only to game theory, for which he received the Nobel, but to mathematics - from Riemannian geometry and partial differential equations - in which he commands greater acclaim among academics.

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A semantically well-defined programming language widely used in artificial intelligence, Prolog has greatly influenced other programming languages since its introduction in the late 1970s. A user may find Prolog deceptively easy, however, and there are a number of different implementations. In this book Patrice Boizumault draws from his extensive e