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Network Economics: A Variational Inequality Approach: A Variational Inequality Approach (Advances In Computational Economics) - Couverture souple

Ben-Arieh, David

 
9789401049641: Network Economics: A Variational Inequality Approach: A Variational Inequality Approach (Advances In Computational Economics)

Synopsis

Computational economics has been at the forefront in stimulating the de- velopment of mathematical methodologies for the analysis and solution of complex, large-scale problems. The past decade, in particular, has witnessed a dramatic growth of interest in this area. Supported by the increasing avail- ability of data and advances in computer architectures, the scale and scope of problems that can now be handled are unveiling new horizons in both theoretical modeling and policy analysis. Accompanying the activity in computational economics is a need for the unification, documentation, and presentation of fundamental methodologies for use by both researchers and practitioners. This volume aims to make a contribution in this direction. The focus of this book is on network economics. Physical networks are pervasive in today's society, be they in the form of transportation networks, telecommunication networks, energy pipelines, electric power networks, etc. Mathematical networks, on the other hand, may be used to represent not only physical networks but also interactions among economic agents. In many applications, the network representation of an economic equilibrium problem may be abstract in that the nodes of the network need not corre- spond to locations in space and the links of the network to trade or travel routes.

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Présentation de l'éditeur

The increasing complexity of economic problems, coupled with advances in numerical methods and computer architectures, have stimulated the growth and interest in computational economics. Accompanying this activity is the need for the unification, documentation and presentation of fundamental methodologies for use by researchers and practitioners. Network Economics: A Variational Inequality Approach makes a contribution in this direction by providing the first unified treatment of the theory of finite-dimensional variational inequalities, algorithms, and applications.
The focus of this volume is network economics. Physical networks are pervasive in today's society in the form of transportation network, energy networks, financial networks, whereas mathematical networks provide a mechanism for studying a plethora of economic equilibrium problems through a common graphic structure. Network Economics establishes the connections among economic equilibrium problems through their network structure and demonstrates how the structure can then be used to address policy interventions, as well as to construct efficient numerical schemes for the computation of equilibria.
The network framework provides not only a mechanism for the graphic representation of economic problems and a means for visualizing their similarities and differences, but in addition, a novel theoretical approach. Problems treated include: congested transportation systems, oligopolistic market equilibrium problems, problems of human migration and general financial equilibrium problems.

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