Operator Theorems with Applications to Distributive Problems and Equilibrium Models

Operator Theorems with Applications to Distributive Problems and Equilibrium Models PDF Author: Antonio Villar
Publisher: Springer Science & Business Media
ISBN: 3642457118
Category : Business & Economics
Languages : en
Pages : 166

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Book Description
Presentation Many economic problems, as equilibrium models, input-output analysis, rational behaviour, etc. , are usually modelled in terms of operators in Euclidean spaces. This monograph deals with the analysis of a number of formal problems involving this kind of operators (with particular reference to complementarity problems and variational inequalities), and their applications to distributive problems and equilibrium models. Thus the purpose of this work is to provide a set of new results on the solvability of those problems, and a number of economic applications that will illustrate the interest of these results in economics. It is worth stressing from the very begining that our analysis concentrates on the existence (and in some cases optimality) of solutions. That is what is meant here by solvability (in particular, nothing will be said with respect to the uniqueness, stability, sensitivity analysis or computation of solutions). The results on the solvability of operator problems presented here, were actually arrived at as a way of solving specific economic models. Yet we are going to relate this case by somehow reversing the way it happened, that is, starting with the formal results and then presenting a number of economic models which appear as applications of VIII these formal results. The rationale for this approach is twofold. First, it provides a neat track via which to go through the whole work. Then, because I would like to emphasize the interest of complementarity and variational inequalities problems in economic modelling.

Operator Theorems with Applications to Distributive Problems and Equilibrium Models

Operator Theorems with Applications to Distributive Problems and Equilibrium Models PDF Author: Antonio Villar
Publisher: Springer Science & Business Media
ISBN: 3642457118
Category : Business & Economics
Languages : en
Pages : 166

Get Book Here

Book Description
Presentation Many economic problems, as equilibrium models, input-output analysis, rational behaviour, etc. , are usually modelled in terms of operators in Euclidean spaces. This monograph deals with the analysis of a number of formal problems involving this kind of operators (with particular reference to complementarity problems and variational inequalities), and their applications to distributive problems and equilibrium models. Thus the purpose of this work is to provide a set of new results on the solvability of those problems, and a number of economic applications that will illustrate the interest of these results in economics. It is worth stressing from the very begining that our analysis concentrates on the existence (and in some cases optimality) of solutions. That is what is meant here by solvability (in particular, nothing will be said with respect to the uniqueness, stability, sensitivity analysis or computation of solutions). The results on the solvability of operator problems presented here, were actually arrived at as a way of solving specific economic models. Yet we are going to relate this case by somehow reversing the way it happened, that is, starting with the formal results and then presenting a number of economic models which appear as applications of VIII these formal results. The rationale for this approach is twofold. First, it provides a neat track via which to go through the whole work. Then, because I would like to emphasize the interest of complementarity and variational inequalities problems in economic modelling.

Project Scheduling under Limited Resources

Project Scheduling under Limited Resources PDF Author: Sönke Hartmann
Publisher: Springer Science & Business Media
ISBN: 3642586279
Category : Business & Economics
Languages : en
Pages : 223

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Book Description
Approaches to project scheduling under resource constraints are discussed in this book. After an overview of different models, it deals with exact and heuristic scheduling algorithms. The focus is on the development of new algorithms. Computational experiments demonstrate the efficiency of the new heuristics. Finally, it is shown how the models and methods discussed here can be applied to projects in research and development as well as market research.

Time-To-Build

Time-To-Build PDF Author: Marga Peeters
Publisher: Springer Science & Business Media
ISBN: 3642468152
Category : Business & Economics
Languages : en
Pages : 208

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Book Description
As large physical capital stock projects need long periods to be built, a time-to-build specification is incorporated in factor demand models. Time-to-build and adjustment costs dynamics are identified since by the first moving average dynamics, whereas by the latter autoregressive dynamics are induced. Empirical evidence for time-to-build is obtained from data from the Dutch construction industry and by the estimation result from the manufacturing industry of six OECD countries.

Exogeneity in Error Correction Models

Exogeneity in Error Correction Models PDF Author: Jean-Pierre Urbain
Publisher: Springer Science & Business Media
ISBN: 3642957064
Category : Business & Economics
Languages : en
Pages : 201

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Book Description
In the recent years, the study of cointegrated time series and the use of error correction models have become extremely popular in the econometric literature. This book provides an analysis of the notion of (weak) exogeneity, which is necessary to sustain valid inference in sub-systems, inthe framework of error correction models (ECMs). In many practical situations, the applied econometrician wants to introduce "structure" on his/her model in order to get economically meaningful coefficients. For thispurpose, ECMs in structural form provide an appealing framework, allowing the researcher to introduce (theoretically motivated) identification restrictions on the long run relationships. In this case, the validity of the inference will depend on a number of conditions which are investigated here. In particular,we point out that orthogonality tests, often used to test for weak exogeneity or for general misspecification, behave poorly in finite samples and are often not very useful in cointegrated systems.

Axiomatic Utility Theory under Risk

Axiomatic Utility Theory under Risk PDF Author: Ulrich Schmidt
Publisher: Springer Science & Business Media
ISBN: 3642588778
Category : Business & Economics
Languages : en
Pages : 216

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Book Description
The first attempts to develop a utility theory for choice situations under risk were undertaken by Cramer (1728) and Bernoulli (1738). Considering the famous St. Petersburg Paradox! - a lottery with an infinite expected monetary value -Bernoulli (1738, p. 209) observed that most people would not spend a significant amount of money to engage in that gamble. To account for this observation, Bernoulli (1738, pp. 199-201) proposed that the expected monetary value has to be replaced by the expected utility ("moral expectation") as the relevant criterion for decision making under risk. However, Bernoulli's 2 argument and particularly his choice of a logarithmic utility function seem to be rather arbitrary since they are based entirely on intuitively 3 appealing examples. Not until two centuries later, did von Neumann and Morgenstern (1947) prove that if the preferences of the decision maker satisfy cer tain assumptions they can be represented by the expected value of a real-valued utility function defined on the set of consequences. Despite the identical mathematical form of expected utility, the theory of von Neumann and Morgenstern and Bernoulli's approach have, however, IFor comprehensive discussions of this paradox cf. Menger (1934), Samuelson (1960), (1977), Shapley (1977a), Aumann (1977), Jorland (1987), and Zabell (1987). 2Cramer (1728, p. 212), on the other hand, proposed that the utility of an amount of money is given by the square root of this amount.

The Impact of Science on Economic Growth and its Cycles

The Impact of Science on Economic Growth and its Cycles PDF Author: Arvid Aulin
Publisher: Springer Science & Business Media
ISBN: 3642958613
Category : Business & Economics
Languages : en
Pages : 212

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Book Description
The author shows that the enormous gap between theory and facts in modern macroeconomics can only be eliminated by nonlinear macroeconomic dynamics with the following special characteristics: First of all, only certain group-theoretical invariants generate the correct growth cycles with irregularly varying lengths, not any stochastic process as usually applied for this purpose. Furthermore, a special extended value function and generalized human capital are needed for a correct representation of scientific and technological innovation. Finally, the correct nonlinear macroeconomic dynamics are not reducible to microeconomics, for both of the above mentioned reasons.

The Alternating Double Auction Market

The Alternating Double Auction Market PDF Author: Abdolkarim Sadrieh
Publisher: Springer Science & Business Media
ISBN: 3642589537
Category : Business & Economics
Languages : en
Pages : 359

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Book Description
The alternating double auction market institution is presented as a discrete time version of the open outcry market. The game in extensive form is analyzed in an almost perfect information setting, using the concept of subgame perfectness. By applying two new equilibrium selection criteria, a general existence result is obtained for "impatience equilibria" of the game. All such equilibria are shown to have unique properties concerning the traded quantities and prices. The most important results are that the equilibrium prices are independent of the number of traders and are always very close to - if not inside - the range of competitive prices. The latter can be evaluated as game theoretic support for the convergence of prices to the competitive price. The process of price formation is traced by applying the learning direction theory and introducing the "anchor price hypothesis".

Bargaining in a Video Experiment

Bargaining in a Video Experiment PDF Author: Heike Hennig-Schmidt
Publisher: Springer Science & Business Media
ISBN: 3642457754
Category : Business & Economics
Languages : en
Pages : 231

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Book Description
Bilateral bargaining situations are of great importance in reality. Traditional microeconomics, however, make cognitive and motivational assumptions of subjects` full rationality that are revealed as being unrealistic by a growing number of experimental investigations. The present book adds an important contribution to the understanding of principles of boundedly rational behavior by directly observing groups of subjects in a decision situation and videotaping their discussions. A very important result of the book is that the behavior of subjects is guided by aspirations regarding the final outcome. The levels of aspirations are influenced by prominence and different forms of the equity principle resulting in several fairness norms as to the allocation of the amount of money to be divided. Another important feature of the book stems from the analysis of break off discussions and enables a motivational explanation of the emergence of breakdowns in bargaining.

Trends in Multicriteria Decision Making

Trends in Multicriteria Decision Making PDF Author: Theodor Stewart
Publisher: Springer Science & Business Media
ISBN: 364245772X
Category : Business & Economics
Languages : en
Pages : 454

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Book Description
This collection of papers gives a broad overview of the state of the art in Multiple Criteria Decision Making (MCDM), in both theory and practice. Topical sections are ranging from preference modelling and methodological developments to a number of applications of MCDM thinking. Special sections are devoted to applications in natural resources and environmental management issues, to negotiation and group decision support, and to philosophical issues, particularly in the interface between systems thinking and MCDM. The book will be relevant not only to those working in the area of MCDM, but also to researchers and practitioners concerned with broader areas of management science, especially those concerned with decision support systems and negotiation support.

An Economic Theory of Cities

An Economic Theory of Cities PDF Author: Wei-Bin Zhang
Publisher: Springer Science & Business Media
ISBN: 3642560601
Category : Business & Economics
Languages : en
Pages : 234

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Book Description
Over more than two centuries the developmentofeconomic theory has created a wide array of different concepts, theories, and insights. My recent books, Capital and Knowledge (Zhang, 1999) and A TheoryofInternational Trade (Zhang, 2000) show how separate economic theories such as the Marxian economics, the Keynesian economics, the general equilibrium theory, the neoclassical growth theory, and the neoclassical trade theory can be examined within a single theoretical framework. This book isto further expand the frameworkproposed in the previous studies. This book is a part of my economic theory with endogenous population, capital, knowledge, preferences, sexual division of labor and consumption, institutions, economic structures and exchange values over time and space (Zhang, 1996a). As an extension of the Capital and Knowledge, which is focused on the dynamics of national economies, this book is to construct a theory of urban economies. We are concerned with dynamic relations between division of labor, division ofconsumption and determination of prices structure over space. We examine dynamic interdependence between capital accumulation, knowledge creation and utilization, economicgrowth, price structuresand urban pattern formation under free competition. The theory is constructed on the basisofa few concepts within a compact framework. The comparative advantage of our theory is that in providing rich insights into complex of spatial economies it uses only a few concepts and simplified functional forms and accepts a few assumptions about behavior of consumers, producers, and institutionalstructures.