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Ebook: Network Economics: A Variational Inequality Approach

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27.01.2024
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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.








Content:
Front Matter....Pages i-xxi
Front Matter....Pages 1-1
Variational Inequality Theory....Pages 3-37
Algorithms....Pages 39-73
Front Matter....Pages 75-75
Spatial Price Equilibrium....Pages 77-136
Traffic Network Equilibrium....Pages 137-165
Migration Equilibrium....Pages 167-189
Front Matter....Pages 191-191
Oligopolistic Market Equilibrium....Pages 193-218
Front Matter....Pages 219-219
Walrasian Price Equilibrium....Pages 221-248
Financial Equilibrium....Pages 249-275
Front Matter....Pages 277-277
Constrained Matrix Problems....Pages 279-321
Back Matter....Pages 323-326



Content:
Front Matter....Pages i-xxi
Front Matter....Pages 1-1
Variational Inequality Theory....Pages 3-37
Algorithms....Pages 39-73
Front Matter....Pages 75-75
Spatial Price Equilibrium....Pages 77-136
Traffic Network Equilibrium....Pages 137-165
Migration Equilibrium....Pages 167-189
Front Matter....Pages 191-191
Oligopolistic Market Equilibrium....Pages 193-218
Front Matter....Pages 219-219
Walrasian Price Equilibrium....Pages 221-248
Financial Equilibrium....Pages 249-275
Front Matter....Pages 277-277
Constrained Matrix Problems....Pages 279-321
Back Matter....Pages 323-326
....
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