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Network Economics : A Variational Inequality Approach - Anna Nagurney

Network Economics

A Variational Inequality Approach

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Published: 31st December 1998
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The second and revised edition of Network Economics: A Variational Inequality Approach provides an updated treatment of network economics through the inclusion of new theoretical results and new applications, as well as problems for self-study purposes and/or for use in the classroom. This volume remains true to the first edition in that it provides a unified treatment of finite-dimensional variational inequalities, algorithms, and applications. Physical networks are pervasive in today's society in the form of transportation networks, telecommunication networks, energy networks, and 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 and economic equilibrium problems. New applications covered in this second edition include environmental networks and knowledge networks.

Prefacep. xv
Acknowledgmentsp. xx
Glossary of Notationp. xxiii
Theory and Fundamentalsp. 1
Variational Inequality Theoryp. 3
The Variational Inequality Problemp. 4
Basic Existence and Uniqueness Resultsp. 14
Partitionable Variational Inequalitiesp. 21
Sensitivity Analysisp. 25
Projected Dynamical Systemsp. 38
Stability Resultsp. 41
Sources and Notesp. 44
Algorithmsp. 49
VI General Iterative Schemep. 50
The Projection Methodp. 54
The Relaxation Methodp. 55
The Modified Projection Methodp. 56
Decomposition Algorithmsp. 60
PDS General Iterative Schemep. 68
Equilibration Algorithmsp. 70
Demand Market Equilibration Algorithmp. 71
General Equilibration Algorithmsp. 76
Sources and Notesp. 83
Partial Equilibrium-Perfect Competitionp. 89
Spatial Price Equilibriump. 91
Static Spatial Price Equilibrium Modelsp. 92
Quantity Formulationp. 93
Price Formulationp. 103
Sensitivity Analysisp. 107
Policy Interventionsp. 115
Quantity Formulationp. 115
Price Formulationp. 124
Algorithms and Computationp. 126
A Dynamic Spatial Price Modelp. 140
Stability Analysisp. 141
Discrete Time Algorithmp. 142
Massively Parallel Resultsp. 144
Sources and Notesp. 145
Traffic Network Equilibriump. 151
Traffic Network Equilibrium Modelsp. 153
Elastic Demand Model with Disutility Functionsp. 154
Elastic Demand Model with Demand Functionsp. 157
Fixed Demand Modelp. 161
Sensitivity Analysisp. 163
Toll Policiesp. 167
Solution of the Link-Toll Collection Policyp. 169
Solution of the Path-Toll Collection Policyp. 170
Computation of Traffic Network Equilibriap. 172
Dynamic Traffic with Elastic Demandsp. 177
Stability Analysisp. 179
Sources and Notesp. 180
Migration Equilibriump. 185
Costless Migrationp. 186
Migration with Migration Costsp. 189
Migration with Class Transformationsp. 195
Computation of Migration Equilibriap. 200
Numerical Resultsp. 203
Sources and Notesp. 206
Partial Equilibrium-Imperfect Competitionp. 209
Oligopolistic Market Equilibriump. 211
Classical Oligopoly Problemsp. 213
Computation of Classical Oligopoly Problemsp. 215
A Spatial Oligopoly Modelp. 223
Relationship Between Spatial Oligopolies and Spatial Price Equilibrium Problemsp. 225
Sensitivity Analysisp. 228
Computation of Oligopolistic Equilibriap. 231
Dynamic Spatial Oligopoly Modelp. 234
Stability Analysisp. 235
Sources and Notesp. 237
Environmental Networksp. 243
The Spatial Oligopoly Model with Permitsp. 244
Qualitative Propertiesp. 255
Sources and Notesp. 259
Knowledge Network Equilibriump. 263
A Knowledge Network Equilibrium Modelp. 264
A Tatonnement Processp. 272
Stability Analysisp. 272
A Discrete Time Algorithmp. 274
Sources and Notesp. 275
General Equilibriump. 277
Walrasian Price Equilibriump. 279
Network Equilibrium Equivalencep. 280
Sensitivity Analysisp. 285
A General Walrasian Iterative Schemep. 288
The Projection Methodp. 294
The Relaxation Methodp. 297
The Projection Method for Discontinuous Aggregate Excess Demand Functionsp. 301
A Numerical Examplep. 303
Sources and Notesp. 304
Financial Equilibriump. 309
Quadratic Utility Functionsp. 310
General Utility Functionsp. 316
Qualitative Propertiesp. 318
Policy Interventionsp. 321
Computation of Financial Equilibriap. 326
Numerical Resultsp. 331
A Dynamic Financial Modelp. 335
Stability Analysisp. 339
Sources and Notesp. 341
Estimationp. 345
Constrained Matrix Problemsp. 347
The General Constrained Matrix Problemp. 348
The Splitting Equilibration Algorithmp. 352
SEA for Diagonal Problemsp. 352
Dual Interpretation and Theoretical Analysisp. 357
SEA for General Problemsp. 365
Computation of Large-Scale Matricesp. 366
Serial Experiments for General Problemsp. 367
Parallel Experiments for General Problemsp. 369
Serial Experiments for Diagonal Problemsp. 370
Parallel Experiments for Diagonal Problemsp. 372
Massively Parallel Experimentsp. 373
Financial Flow-of-Funds Estimationp. 377
Network Model of Financial Flow of Fundsp. 377
SEA for Financial Flow of Fundsp. 383
An Applicationp. 386
Sources and Notesp. 387
A Problemsp. 393
Table of Contents provided by Syndetics. All Rights Reserved.

ISBN: 9780792383505
ISBN-10: 0792383508
Series: Advances in Computational Economics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 416
Published: 31st December 1998
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 23.4 x 15.6  x 2.54
Weight (kg): 1.76
Edition Number: 2
Edition Type: Revised