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Author: G. Isac
Publisher: Springer Science & Business Media
ISBN: 1475736231
Category : Mathematics
Languages : en
Pages : 458
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Book Description
In complementarity theory, which is a relatively new domain of applied mathematics, several kinds of mathematical models and problems related to the study of equilibrium are considered from the point of view of physics as well as economics. In this book the authors have combined complementarity theory, equilibrium of economical systems, and efficiency in Pareto's sense. The authors discuss the use of complementarity theory in the study of equilibrium of economic systems and present results they have obtained. In addition the authors present several new results in complementarity theory and several numerical methods for solving complementarity problems associated with the study of economic equilibrium. The most important notions of Pareto efficiency are also presented. Audience: Researchers and graduate students interested in complementarity theory, in economics, in optimization, and in applied mathematics.
Author: G. Isac
Publisher: Springer Science & Business Media
ISBN: 1475736231
Category : Mathematics
Languages : en
Pages : 458
Get Book Here
Book Description
In complementarity theory, which is a relatively new domain of applied mathematics, several kinds of mathematical models and problems related to the study of equilibrium are considered from the point of view of physics as well as economics. In this book the authors have combined complementarity theory, equilibrium of economical systems, and efficiency in Pareto's sense. The authors discuss the use of complementarity theory in the study of equilibrium of economic systems and present results they have obtained. In addition the authors present several new results in complementarity theory and several numerical methods for solving complementarity problems associated with the study of economic equilibrium. The most important notions of Pareto efficiency are also presented. Audience: Researchers and graduate students interested in complementarity theory, in economics, in optimization, and in applied mathematics.
Author: Alan Sussmann Manne
Publisher: North Holland
ISBN:
Category : Equilibrium (Economics)
Languages : en
Pages : 278
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Book Description
Author: James P. Quirk
Publisher:
ISBN:
Category : Economics, Mathematical
Languages : en
Pages : 50
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Book Description
Author: Terje Hansen
Publisher:
ISBN:
Category : Linear programming
Languages : en
Pages : 18
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Book Description
Author: Florencio Lopez-de-Silanes
Publisher:
ISBN:
Category : Automobile industry and trade
Languages : en
Pages : 38
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Book Description
Conventional analysis in the trade-industrial-organization literature suggests that, when a country has some market power over an imported good, some small level of protection must be welfare improving. This is essentially a terms-of-trade argument that is reinforced if the imported goods are substitutes for domestic goods produced with increasing returns to scale, goods that are initially underproduced in free-trade equilibrium. This paper notes that this result may not hold when (1) the imports are intermediates used in a domestic increasing-returns industry, and/or (2) the intermediates are complements for domestic inputs produced with increasing returns. We then demonstrate such an outcome with respect to Mexican protection against imported auto parts using an applied general-equilibrium model of the North American auto industry.
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.
Author: Stanford University. Department of Operations Research. Systems Optimization Laboratory
Publisher:
ISBN:
Category :
Languages : en
Pages : 84
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Book Description
Author: Panos M. Pardalos
Publisher: Springer Science & Business Media
ISBN: 0387772472
Category : Mathematics
Languages : en
Pages : 872
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Book Description
This comprehensive work examines important recent developments and modern applications in the fields of optimization, control, game theory and equilibrium programming. In particular, the concepts of equilibrium and optimality are of immense practical importance affecting decision-making problems regarding policy and strategies, and in understanding and predicting systems in different application domains, ranging from economics and engineering to military applications. The book consists of 29 survey chapters written by distinguished researchers in the above areas.
Author: Marios Angeletos
Publisher:
ISBN:
Category : Information theory in economics
Languages : en
Pages : 30
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Book Description
This paper examines equilibrium and welfare in a tractable class of economies with externalities, strategic complementarity or substitutability, and incomplete information. In equilibrium, complementarity amplifies aggregate volatility by increasing the sensitivity of actions to public information; substitutability raises cross-sectional dispersion by increasing the sensitivity to private information. To address whether these effects are undesirable from a welfare perspective, we characterize the socially optimal degree of coordination and the efficient use of information. We show how efficient allocations depend on the primitives of the environment, how they compare to equilibrium, and how they can be understood in terms of a social trade-off between volatility and dispersion. We next examine the social value of information in equilibrium. When the equilibrium is efficient, welfare necessarily increases with the accuracy of information; and it increases [decreases] with the extent to which information is common if and only if agents' actions are strategic complements [substitutes]. When the equilibrium is inefficient, additional effects emerge as information affects the gap between equilibrium and efficient allocations. We conclude with a few applications, including production externalities, Keynesian frictions, inefficient fluctuations, and efficient market competition.
Author: Donald M. Topkis
Publisher: Princeton University Press
ISBN: 140082253X
Category : Business & Economics
Languages : en
Pages : 285
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Book Description
The economics literature is replete with examples of monotone comparative statics; that is, scenarios where optimal decisions or equilibria in a parameterized collection of models vary monotonically with the parameter. Most of these examples are manifestations of complementarity, with a common explicit or implicit theoretical basis in properties of a super-modular function on a lattice. Supermodular functions yield a characterization for complementarity and extend the notion of complementarity to a general setting that is a natural mathematical context for studying complementarity and monotone comparative statics. Concepts and results related to supermodularity and monotone comparative statics constitute a new and important formal step in the long line of economics literature on complementarity. This monograph links complementarity to powerful concepts and results involving supermodular functions on lattices and focuses on analyses and issues related to monotone comparative statics. Don Topkis, who is known for his seminal contributions to this area, here presents a self-contained and up-to-date view of this field, including many new results, to scholars interested in economic theory and its applications as well as to those in related disciplines. The emphasis is on methodology. The book systematically develops a comprehensive, integrated theory pertaining to supermodularity, complementarity, and monotone comparative statics. It then applies that theory in the analysis of many diverse economic models formulated as decision problems, noncooperative games, and cooperative games.
