Dynamic Networks and Evolutionary Variational Inequalities

Author:   Patrizia Daniele
Publisher:   Edward Elgar Publishing Ltd
ISBN:  

9781843769293


Pages:   272
Publication Date:   27 July 2006
Format:   Hardback
Availability:   To order   Availability explained
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Dynamic Networks and Evolutionary Variational Inequalities


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Overview

This book offers a comprehensive analysis of dynamic networks and evolutionary variational inequalities, a topic of growing prominence in the study of networks. The extraordinary importance of networks in finance, mathematics, computer science and other areas is well known but the relatively new concept of 'dynamic' networks is less well understood. They become dynamic when the constitutive elements of the phenomena associated with the fixed geometry of networks are considered to be evolving over time. Patrizia Daniele offers many numerical examples to illustrate the issues discussed and provides a broad appendix to enrich this challenging but deeply informative book.Researchers, students and practitioners in the areas of finance, economics, computer science, and mathematics will find this volume an indispensable resource in understanding the use and development of networks in their disciplines.

Full Product Details

Author:   Patrizia Daniele
Publisher:   Edward Elgar Publishing Ltd
Imprint:   Edward Elgar Publishing Ltd
ISBN:  

9781843769293


ISBN 10:   1843769298
Pages:   272
Publication Date:   27 July 2006
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   To order   Availability explained
Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us.

Table of Contents

Contents: 1. Introduction 2. The Traffic Equilibrium Problem 3. Evolutionary Spatial Price Equilibrium 4. The Evolutionary Financial Model 5. Projected Dynamical Systems A. Definitions and Properties B. Weak Convergence C. Generalized Derivatives D. Variational Inequalities E. Quasi-Variational Inequalities F. Infinite Dimensional Duality Bibliography Index

Reviews

'Since the extraordinary impact of networks is self-evident today both in the field of telecommunications and transportation as well as in the field of economic and financial equilibria, the scientific work carried out by Patrizia Daniele appears as an outstanding resource. The author employs with uncommon competence mathematical topics that are at the forefront of the science, while at the same time enabling the reader to understand the matter treated without any difficulty. Moreover the reader is fascinated by the clarity, depth and soundness with which the evolutionary equilibria problems are studied and by the original efficient computational procedures which allow for the solving of many significant examples and concrete problems. Without any doubt the book represents a shining light and a necessary tool for scholars of pure and applied mathematics, for economists and engineers as well as for practitioners, general managers and managing directors.' -- Antonino Maugeri, Universita di Catania, Italy


Author Information

Patrizia Daniele, Associate Professor of Operational Research, Department of Mathematics and Computer Science, University of Catania, Italy

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