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Author: Timothy M. Doup
Publisher: Springer Science & Business Media
ISBN: 3642466516
Category : Business & Economics
Languages : en
Pages : 264
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Book Description
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.
Author: Timothy M. Doup
Publisher: Springer Science & Business Media
ISBN: 3642466516
Category : Business & Economics
Languages : en
Pages : 264
Get Book Here
Book Description
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.
Author: Chuangyin Dang
Publisher: Springer Science & Business Media
ISBN: 3642487750
Category : Business & Economics
Languages : en
Pages : 199
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Book Description
As a new type of technique, simplicial methods have yielded extremely important contributions toward solutions of a system of nonlinear equations. Theoretical investigations and numerical tests have shown that the performance of simplicial methods depends critically on the triangulations underlying them. This monograph describes some recent developments in triangulations and simplicial methods. It includes the D1-triangulation and its applications to simplicial methods. As a result, efficiency of simplicial methods has been improved significantly. Thus more effective simplicial methods have been developed.
Author: Björn Schmolck
Publisher: Springer Science & Business Media
ISBN: 3642583245
Category : Business & Economics
Languages : en
Pages : 149
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Book Description
This book deals with the omitted variable test for a multivariate time-series regression model. The empirical motivation is the homogeneity test for a consumer demand system. The consequences of using a dynamically misspecified omitted variable test are shown in detail. The analysis starts with the univariate t-test and is then extended to the multivariate regression system. The small sample performance of the dynamically correctly specified omitted variable test is analysed by simulation. Two classes of tests are considered: versions of the likelihood ratio test and the robust Wald test which is based on a heteroskedasticity and autocorrelation consistent variance-covariance estimator (HAC).
Author: Thomas R. Jr. Gulledge
Publisher: Springer Science & Business Media
ISBN: 1468463845
Category : Business & Economics
Languages : en
Pages : 421
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Book Description
Cost Analysis is an emerging sub-discipline of Economics and Operations Research. This is the first collection of readings that spans the discipline. The contributions are both theoretical and applications oriented. This book is directed to researchers in Economics, Operations Research, Industrial Engineering, and Managerial Accounting. In particular, the book provides an overview of the types of problems that are of interest to cost researchers. These papers are a subset of the papers that were presented at the 1989 Joint National Meeting of the Institute of Cost Analysis and the National Estimating Society in Washington, D.C.
Author: Bettina Kuon
Publisher: Springer Science & Business Media
ISBN: 3642487777
Category : Business & Economics
Languages : en
Pages : 305
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Book Description
Think of the following situation: A project yielding a gross profit of 100 is offered to two firms. The project can only be conducted by a cooperation of the two firms. No firm is able to conduct the project alone. In order to receive the project the firms have to agree on the allocation of the gross profit. Each of both firms has an alternative project it conducts in case the joint project is not realized. The profitability of an allocation of the joint gross profit for a firm depends on the gross profit from its alternative project. The gross profit from an alternative project can be either 0 (low alternative value) or O
Author: Peter M. Kort
Publisher: Springer Science & Business Media
ISBN: 3642489044
Category : Business & Economics
Languages : en
Pages : 196
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Book Description
1.1. Scope of the Book This book is a contribution to the area of "dynamic models of the firm". The motivation for this kind of research is the following: Empirical studies (e.g. Albach (1976)) have shown that the development of the firm over time can be divided into different stages. such as growth. stationarity and contraction. In order to understand and evaluate these stages in a proper way. it is important to develop a suitable theoretical framework. To that end. economists have applied dynamic mathematical techniques. such as optimal control theory. calculus of variations and dynamic programming to design and analyse dynamic models of the firm. In this way. the economic theory of the firm is extended to a dynamic context. Within the field of the dynamics of the firm this book - develops a general investment decision rule. based on the concept "net present value of marginal investment". which is applicable in deterministic dynamic models of the firm; - studies the influence of adjustment costs of investment on optimal dynamic firm behavior; - extends the stochastic dynamic theory of the firm by connecting it with a dynamic version of the Capital Asset Pricing Model. Before elaborating on "the dynamics of the firm". we first review the subject of net present value in the classical analysis.
Author: Geert Dhaene
Publisher: Springer Science & Business Media
ISBN: 3642468322
Category : Business & Economics
Languages : en
Pages : 169
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Book Description
The history of many sciences is characterized by an almost continuous emer gence of new theories. From a normative point of view, the survival of a new theory should mainly be determined by its ability to explain a new body of facts which the existing theories are unable to explain. If in addition the new theory is able to explain all the results obtained by the existing theories and if it can point out why these theories fail to explain certain facts, it should become the dominant theory. Otherwise, it might coexist with other theories for some time. Hence, a new theory ought to be judged not only by confronting it with existing facts, but also by confronting it with existing theories. The idea that a theory should be able to account for the results ob tained by other theories, although implicitly adhered to by many scientists, has rarely been formalized. The statistics literature on parametric hypoth esis testing, though, might be seen as an instance of such a formalization.
Author: Gianni Ricci
Publisher: Springer Science & Business Media
ISBN: 3642456863
Category : Business & Economics
Languages : en
Pages : 217
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Book Description
This book contains a selection of the papers presented at the symposium on "Decision processes in Economics" which was held in Modena (Italy) on 9-10 October 1989. It coincided with the annual meeting of the italian group on Game Theory; the group is formed by economists, mathematicians, engineers and social scientists. One of the targets of the Meeting, and therefore of the book, is to create an opportunity for having together papers by scientists with an "optimal control" education and papers by theorists on refinement of equilibrium, on repeted games and other topics. These two modes of working on Games are quite different but we think that a unitary approch to Games can be given and this book is an attempt in this direction. Another important and updated issue which is emphisized in the book is the discussion of computation and efficiency of numerical methods in Games. Stochastic differential games are treated in the papers by Basar, Haurie -and Deissemberg. Basar considers a stochastic model of a conflict situation between the monetary policy maker (go vernment) and the responding agent (private sector). Because of asymmetry in the (stochastic) information available the Nash and the Stackelberg games become non standard stochastic diffe rential games. After the discussion of the conditions leading to a solution he provides a numerical example for the proposed game. Haurie considers a game where the observed state changes according to a stochastic jump process.
Author: Peter Stalder
Publisher: Springer Science & Business Media
ISBN: 3642467393
Category : Business & Economics
Languages : en
Pages : 203
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Book Description
This book presents an econometric modeling approach for analysing macroeconomic disequilibria, focusing on the market for goods and labor and the spillovers between these markets transmitted through firms' decisions in the production sphere. The macroeconomic markets are treated as heterogeneous aggregates, consisting of a multitute of micro markets on which demand/supply ratios differ. Disequilibrium models have been under attack because they neglect that inventories enable firms to smooth production over the cycle, but the author argues that buffer stocks (output inventories, unfilled orders) should be accounted for within the disequilibrium framework, giving rise to a dynamic modification rather than a fundamental invalidation of rationing and spillover effects. The model developed in this book combines traditional Keynesian-type analysis with supply-side considerations and at the same time allows for micro-level imbalance. The resulting econometric structure is inherently nonlinear, reflecting that the response of economic activity to demand-side and supply-side factors varies over the cycle, depending on the aggregate mix of regimes. The model is estimated with quarterly data for Switzerland. Various simulation experiments clearly demonstrate the potential of this type of model for empirical business cycle analysis and policy discussions.
Author: Thomas Steger
Publisher: Springer Science & Business Media
ISBN: 3642457843
Category : Business & Economics
Languages : en
Pages : 161
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Book Description
Four stylised facts of aggregate economic growth are set up initially. The growth process is interpreted to represent transitional dynamics rather than balanced-growth equilibria. Against this background, the fundamental importance of subsistence consumption is comprehensively analysed. Subsequently, the meaning of the productive-consumption hypothesis for the intertemporal consumption trade-off and the growth process is investigated. Finally, the process of growth is analysed empirically by means of cross-sectional conditional convergence regressions with endogenous control variables.
