A Course in Triangulations for Solving Equations with Deformations PDF Download
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Author: B. C. Eaves
Publisher: Springer Science & Business Media
ISBN: 3642465161
Category : Business & Economics
Languages : en
Pages : 298
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Book Description
Author: B. C. Eaves
Publisher: Springer Science & Business Media
ISBN: 3642465161
Category : Business & Economics
Languages : en
Pages : 298
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Book Description
Author: Hugo F. Sonnenschein
Publisher: Springer Science & Business Media
ISBN: 3642516459
Category : Business & Economics
Languages : en
Pages : 220
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Book Description
Author: Franz Gehrels
Publisher: Springer Science & Business Media
ISBN: 3642956599
Category : Business & Economics
Languages : en
Pages : 194
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Book Description
The large aggregates in the economy - consumption, investment, production of the domestic and the international sectors, international capital flows, financial accumulation and indebtedness - are analysed in this book as problems in time-optimisation for enterprises and households. The effects of fiscal and monetary policies along with exchange-rate variation are examined, and their simultaneous use for stabilizing demand are found to be necessary. All household decisions on consumptions, savings, and financial disposition are conditioned by uncertainty, and similarly for firms, who make more complex simultaneous decisions on production, real investment, financing, and market strategy. The marginal efficiency-of-investment function derived from these decisions is fundamentally different from the marginal productivity of capital in the neoclassical sense. An economy which grows through the accumulation of capital, increase in labor supply, and technological progress is the framework in which all of these variables move. This codetermines the allocation of factors between domestic and international production, and the development of foreign trade. The growth both of the public debt and of international investment are treated in depth.
Author: Balazs Horvath
Publisher: Springer Science & Business Media
ISBN: 9783540542872
Category : Business & Economics
Languages : en
Pages : 180
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Book Description
This book explores the econometric implications of a policy-maker's learning. In a simple discrete model the policymaker maximizes the discounted sum of tax revenues subject to a constraint which involves an unknown parameter specifying the occurrence of Bayesian learning. An optimal balance needs to be found between maximizing current payoff and generating information which enhances the efficiency of maximization in subsequent periods. Learning is demonstrated to affect the exogeneity status of policy variables in small samples and to have implications analogous to the phenomenon in the focus of the Lucas critique. Active learning is proven to be a distinct cause of time inconsistency of optimal plane. It is argued that learning cannot be dismissed as a merely transitory source of these phenomena. A simulation exercise supplies quantitative evidence. Finally, the data generated are used to perform empirical exogeneity tests. Results show that the effect of Bayesian learning is empirically detectable. Learning is generally accepted as the driving force towards a rational expectations equilibrium with perfect information. In this context, the result on the loss of exogeneity of policy variables is an out-of-equilibrium econometric implication of the rational expectations hypothesis. This book is the first to explore the effect of an informational feedback on exogeneity.
Author: Gerald A. Heuer
Publisher: Springer Science & Business Media
ISBN: 3642956637
Category : Business & Economics
Languages : en
Pages : 149
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Book Description
A Silverman game is a two-person zero-sum game defined in terms of two sets S I and S II of positive numbers, and two parameters, the threshold T > 1 and the penalty v > 0. Players I and II independently choose numbers from S I and S II, respectively. The higher number wins 1, unless it is at least T times as large as the other, in which case it loses v. Equal numbers tie. Such a game might be used to model various bidding or spending situations in which within some bounds the higher bidder or bigger spender wins, but loses if it is overdone. Such situations may include spending on armaments, advertising spending or sealed bids in an auction. Previous work has dealt mainly with special cases. In this work recent progress for arbitrary discrete sets S I and S II is presented. Under quite general conditions, these games reduce to finite matrix games. A large class of games are completely determined by the diagonal of the matrix, and it is shown how the great majority of these appear to have unique optimal strategies. The work is accessible to all who are familiar with basic noncooperative game theory.
Author: Mario Fedrizzi
Publisher: Springer Science & Business Media
ISBN: 3642457002
Category : Business & Economics
Languages : en
Pages : 227
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Book Description
The title of this book seems to indicate that the volume is dedicated to a very specialized and narrow area, i. e. , to the relationship between a very special type of optimization and mathematical programming. The contrary is however true. Optimization is certainly a very old and classical area which is of high concern to many disciplines. Engineering as well as management, politics as well as medicine, artificial intelligence as well as operations research, and many other fields are in one way or another concerned with optimization of designs, decisions, structures, procedures, or information processes. It is therefore not surprising that optimization has not grown in a homogeneous way in one discipline either. Traditionally, there was a distinct difference between optimization in engineering, optimization in management, and optimization as it was treated in mathematical sciences. However, for the last decades all these fields have to an increasing degree interacted and contributed to the area of optimization or decision making. In some respects, new disciplines such as artificial intelligence, descriptive decision theory, or modern operations research have facilitated, or even made possible the interaction between the different classical disciplines because they provided bridges and links between areas which had been developing and applied quite independently before. The development of optimiiation over the last decades can best be appreciated when looking at the traditional model of optimization. For a well-structured, Le.
Author: Marc Ivaldi
Publisher: Springer Science & Business Media
ISBN: 3642467350
Category : Business & Economics
Languages : en
Pages : 245
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Book Description
Using panel data of individual firms drawn from French surveys, a structural analysis is developed to study the formation of production plans and the rationality of expectations. The production decision of a firm is defined as the optimal solution of a dynamic stochastic optimization problem. The empirical work amounts to recovering the structural parameters characterizing the model of the firm from estimates of the derived decision rule. The preceding analysis of production plans is based on the assumption that firms are rational. To justify this assumption, direct tests offer evidence that the Rational Expectations Hypothesis may not be rejected for quantity variables.
Author: Onno van Hilten
Publisher: Springer Science & Business Media
ISBN: 3662027186
Category : Business & Economics
Languages : en
Pages : 237
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Book Description
This thesis is a theoretical study of the optimal dynamic policies of a, to some extent, slowly adjusting firm that faces an exogeneously given technological progress and an exogeneously given business cycle. It belongs to the area of mathematical economics. It is intended to appeal to mathematical economists in the first place, economists in the second place and mathematicians in the third place. It entails an attempt to stretch the limits of the application of deterministic dynamic optimisation to economics, in particular to firm behaviour. A well-known· Dutch economist (and trained mathematician) recently stated in 1 a local university newspaper that mathematical economists give economics a bad reputation, since they formulate their problems from a mathematical point of view and they are only interested in technical, mathematical problems. At the same time, however, "profound as economists may be, when it comes to extending or modifying the existing theory to make it applicable to a certain economic problem, an understanding of optimal control theory (which is the mathematical theory used in this thesis, ovh) based solely on heuristic arguments will often turn out to be inadequate" (SydS
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: Edmond A. Jonckheere
Publisher: Oxford University Press
ISBN: 019535768X
Category : Mathematics
Languages : en
Pages : 625
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Book Description
In this book, two seemingly unrelated fields -- algebraic topology and robust control -- are brought together. The book develops algebraic/differential topology from an application-oriented point of view. The book takes the reader on a path starting from a well-motivated robust stability problem, showing the relevance of the simplicial approximation theorem and how it can be efficiently implemented using computational geometry. The simplicial approximation theorem serves as a primer to more serious topological issues such as the obstruction to extending the Nyquist map, K-theory of robust stabilization, and eventually the differential topology of the Nyquist map, culminating in the explanation of the lack of continuity of the stability margin relative to rounding errors. The book is suitable for graduate students in engineering and/or applied mathematics, academic researchers and governmental laboratories.
