Network economics : a variational inequality approach

書誌事項

Network economics : a variational inequality approach

by Anna Nagurney

(Advances in computational economics, v. 1)

Kluwer Academic Publishers, c1993

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注記

Includes bibliographical references and index

内容説明・目次

内容説明

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 a treatment of the theory of finite-dimensional variational inequalities, algorithms and applications. The focus of the volume is on 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 equilibirum 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.

目次

  • Part 1 Theory and fundamentals: variational inequality theory
  • algorithms. Part 2 Partial equilibrium - perfect competition: spatial price equilibrium
  • traffic network equilibrium
  • migration equilibrium. Part 3 Partial equilibrium - imperfect competition: oligopolistic market equilibrium. Part 4 General equilibrium: Walrasian price equilibrium
  • financial equilibrium. Part 5 Estimation: constrained matrix problems.

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