Simplicial Algorithms On The Simplotope

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Simplicial Algorithms On The Simplotope

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Author : Timothy Doup
language : en
Publisher: Springer
Release Date : 1988-09-14

Simplicial Algorithms On The Simplotope written by Timothy Doup and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-09-14 with Business & Economics categories.

This monograph deals with simplicial algorithms on the unit simplex and on the simplotope. Several new triangulations are introduced underlying the simplicial algorithms. The V-triangulation underlies a number of new simplicial algorithms and also underlies a continuous deformation algorithm on the simplotope. The monograph extensively discusses these algorithms and gives computational comparisons. The examples include exchange economies, quadratic programming, non-cooperative N-person games, and economies with a block diagonal supply-demand pattern. In the economic examples, the paths induced by the algorithms can be interpreted as price adjustment processes. These paths have the attractive feature that they always converge to an optimal solution.

Simplicial Algorithms On The Simplotope

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Author : Timothy M. Doup
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Simplicial Algorithms On The Simplotope written by Timothy M. Doup and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Business & Economics categories.

1.1. Introduction Solving systems of nonlinear equations has since long been of great interest to researchers in the field of economics, mathematics, en gineering, and many other professions. Many problems such as finding an equilibrium, a zero point, or a fixed point, can be formulated as the problem of finding a solution to a system of nonlinear equations. There are many methods to solve the nonlinear system such as Newton's method, the homotopy method, and the simplicial method. In this monograph we mainly consider the simplicial method. Traditionally, the zero point and fixed point problem have been solved by iterative methods such as Newton's method and modifications thereof. Among the difficulties which may cause an iterative method to perform inefficiently or even fail are: the lack of good starting points, slow convergence, and the lack of smoothness of the underlying function. These difficulties have been partly overcome by the introduction of homo topy methods.

Computing Economic Equilibria By Variable Dimension Algorithms

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Author : G. van der Laan
language : en
Publisher:
Release Date : 1987

Computing Economic Equilibria By Variable Dimension Algorithms written by G. van der Laan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Economics categories.

Eui Working Paper

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Author :
language : en
Publisher:
Release Date : 1987

Eui Working Paper written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Europe categories.

Mathematics Of Operations Research

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Author :
language : en
Publisher:
Release Date : 1991

Mathematics Of Operations Research written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.

Articles of mathematical interest as well as operations research and management science.

Siam Journal On Control And Optimization

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Author : Society for Industrial and Applied Mathematics
language : en
Publisher:
Release Date : 1999

Siam Journal On Control And Optimization written by Society for Industrial and Applied Mathematics and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Automatic control categories.

Contains research articles on the mathematics and applications of control theory and on those parts of optimization theory concerned with the dynamics of deterministic or stochastic systems in continuous or discrete time or otherwise dealing with differential equations, dynamics, infinite-dimensional spaces, or fundamental issues in variational analysis and geometry.

Xiv Symposium On Operations Research

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Author : Ulrich Rieder
language : en
Publisher:
Release Date : 1990

Xiv Symposium On Operations Research written by Ulrich Rieder and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Artificial intelligence categories.

1994 Ieee Decision Control

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Author :
language : en
Publisher:
Release Date : 1994

1994 Ieee Decision Control written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Adaptive control systems categories.

On Overlapping Generations Models With Productive Capital

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Author : Günther Lang
language : en
Publisher: Springer
Release Date : 1996-10-02

On Overlapping Generations Models With Productive Capital written by Günther Lang and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-10-02 with Business & Economics categories.

This book examines several unsolved problems in OLG models with productive capital. It extends the well-known Diamond analysis to a model with variable population growth and characterizes dynamically efficient allocations. Then the design of pay-as-you-go pension schemes and government debt to achieve a Pareto-improvement of inefficient growth paths are investigated. Departing from pure efficiency aspects, the book turns to questions of intergenerational fairness and optimal population growth. Finally, introducing a polito-economic model of transfers between generations, conflicting preferences between an infinite sequence of governments are solved for a Markov-perfect equilibrium, providing some important insights into mechanisms of growth and the nature of capital income taxation.

Economic Sciences In The Netherlands

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Author :
language : en
Publisher:
Release Date : 1989

Economic Sciences In The Netherlands written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Economics categories.