computing equilibria and fixed points the solution of nonlinear inequalities theory and decision library c

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Computing Equilibria And Fixed Points

Author : Zaifu Yang
ISBN : 9781475748390
Genre : Business & Economics
File Size : 27. 93 MB
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Computing Equilibria and Fixed Points is devoted to the computation of equilibria, fixed points and stationary points. This volume is written with three goals in mind: (i) To give a comprehensive introduction to fixed point methods and to the definition and construction of Gröbner bases; (ii) To discuss several interesting applications of these methods in the fields of general equilibrium theory, game theory, mathematical programming, algebra and symbolic computation; (iii) To introduce several advanced fixed point and stationary point theorems. These methods and topics should be of interest not only to economists and game theorists concerned with the computation and existence of equilibrium outcomes in economic models and cooperative and non-cooperative games, but also to applied mathematicians, computer scientists and engineers dealing with models of highly nonlinear systems of equations (or polynomial equations).

Discrete Geometry And Algebraic Combinatorics

Author : Alexander Barg
ISBN : 9781470409050
Genre : Mathematics
File Size : 87. 90 MB
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This volume contains the proceedings of the AMS Special Session on Discrete Geometry and Algebraic Combinatorics held on January 11, 2013, in San Diego, California. The collection of articles in this volume is devoted to packings of metric spaces and related questions, and contains new results as well as surveys of some areas of discrete geometry. This volume consists of papers on combinatorics of transportation polytopes, including results on the diameter of graphs of such polytopes; the generalized Steiner problem and related topics of the minimal fillings theory; a survey of distance graphs and graphs of diameters, and a group of papers on applications of algebraic combinatorics to packings of metric spaces including sphere packings and topics in coding theory. In particular, this volume presents a new approach to duality in sphere packing based on the Poisson summation formula, applications of semidefinite programming to spherical codes and equiangular lines, new results in list decoding of a family of algebraic codes, and constructions of bent and semi-bent functions.

Investment Under Uncertainty Coalition Spillovers And Market Evolution In A Game Theoretic Perspective

Author : J.H.H Thijssen
ISBN : 9781402079443
Genre : Business & Economics
File Size : 75. 72 MB
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Cumulative Book Index

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ISBN : PSU:000045663147
Genre : American literature
File Size : 82. 18 MB
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Static And Dynamic Aspects Of General Disequilibrium Theory

Author : P. Jean-Jacques Herings
ISBN : 0792398130
Genre : Business & Economics
File Size : 64. 57 MB
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Mathematical economics uses mathematical tools and reasoning to describe and explain economic reality. At the core of mathematical economics is general equilibrium theory. Static and Dynamic Aspects of General Disequilibrium Theory describes and analyses various general equilibrium models, treating theory from an axiomatic point of view, which may lead to a deeper understanding of problems, may help to avoid incorrect reasoning, and may improve communication within the economic science. This volume consists of four parts, each of which is self-contained. Part I deals with the mathematical and economic preliminaries. Part II considers the static aspects of disequilibrium theory. Part III determines price rigidities endogenously. Finally, Part IV deals with dynamic aspects of disequilibrium theory.

Subject Guide To Books In Print

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ISBN : STANFORD:36105025888517
Genre : American literature
File Size : 50. 43 MB
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Iterative Solution Of Nonlinear Equations In Several Variables

Author : J. M. Ortega
ISBN : 9781483276724
Genre : Mathematics
File Size : 43. 36 MB
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Computer Science and Applied Mathematics: Iterative Solution of Nonlinear Equations in Several Variables presents a survey of the basic theoretical results about nonlinear equations in n dimensions and analysis of the major iterative methods for their numerical solution. This book discusses the gradient mappings and minimization, contractions and the continuation property, and degree of a mapping. The general iterative and minimization methods, rates of convergence, and one-step stationary and multistep methods are also elaborated. This text likewise covers the contractions and nonlinear majorants, convergence under partial ordering, and convergence of minimization methods. This publication is a good reference for specialists and readers with an extensive functional analysis background.

American Book Publishing Record

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ISBN : UOM:39015079622463
Genre : American literature
File Size : 89. 48 MB
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Iterative Methods For Linear And Nonlinear Equations

Author : C. T. Kelley
ISBN : 1611970946
Genre : Iterative methods (Mathematics)
File Size : 24. 18 MB
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Linear and nonlinear systems of equations are the basis for many, if not most, of the models of phenomena in science and engineering, and their efficient numerical solution is critical to progress in these areas. This is the first book to be published on nonlinear equations since the mid-1980s. Although it stresses recent developments in this area, such as Newton-Krylov methods, considerable material on linear equations has been incorporated. This book focuses on a small number of methods and treats them in depth. The author provides a complete analysis of the conjugate gradient and generalized minimum residual iterations as well as recent advances including Newton-Krylov methods, incorporation of inexactness and noise into the analysis, new proofs and implementations of Broyden's method, and globalization of inexact Newton methods. Examples, methods, and algorithmic choices are based on applications to infinite dimensional problems such as partial differential equations and integral equations. The analysis and proof techniques are constructed with the infinite dimensional setting in mind and the computational examples and exercises are based on the MATLAB environment.

Fixed Point Theorems With Applications To Economics And Game Theory

Author : Kim C. Border
ISBN : 0521388082
Genre : Business & Economics
File Size : 67. 33 MB
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This book explores fixed point theorems and its uses in economics, co-operative and noncooperative games.

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