Professor Anna NagurneyCourse Description and Syllabus
John F. Smith Memorial Professor
Isenberg School of Management
University of Massachusetts
Amherst, MA 01003
This course introduces and develops the concept of network economics as a powerful tool for decision-making today. It provides the foundations of networks both as an intuitive tool and graphical medium as well as a rigorous methodological one for the formulation, qualitative analysis, and computation of solutions to economic equilibrium problems. Hence, it considers both physical networks such as transportation networks, whose structure maps into nodes, links, and flows, and abstract networks, whose network mapping is not intuitively obvious.
The course traces the history of networks in the global economy and demonstrates how a variety of economic problems are concerned with flows over space and time where the flows may be of commodities, humans, money, and/or informational. It provides the basic theory of networks and overviews the fundamental theory of mathematical programming, specifically, optimization theory and variational inequality theory, to enable the formulation and solution of the network problems. The course also surveys effective computational algorithms which take advantage of the underlying network structure of the problems.
The course then describes specific applications which underly the network economy including traffic network and spatial price equilibrium problems. Other applications include: oligopolistic market equilibrium problems, migration equilibrium problems, financial equilibrium problems as well as knowledge and environmental networks. A variety of policy instruments, along with their ramifications are explored in these contexts. The course provides a solid introduction to the subject.
More advanced topics are subsequently studied which focus on network economics in today's Information Age. These include: multicriteria decision-making with applications to teleshopping and telecommuting as well as supply chain networks with electronic commerce.
This course is taught in lecture format with many additional examples given in class as well as time for discussion. Textbook: Network Economics: A Variational Inequality Approach, 1999, revised and second edition, Anna Nagurney, Kluwer Academic Publishers, Boston, Massachusetts. The textbook, as well as additional reading materials, will be made available to the students through the appropriate library. Professor Nagurney's new book, Supernetworks: Decision-Making for the Information Age, 2002, co-authored with June Dong, Edward Elgar Publishers, Cheltenham, England, will also be made available for coverage of the advanced course topics.
OUTLINE OF LECTURES (Note that some of the background material will be interspersed throughout the lectures as needed by the specific applications.) Hence, below are topics that will be covered, but not necessarily in the order given. For example, much of the theoretical material in topics 2, 3, and 4 below will be incorporated into the subsequent topical lectures. Also, a topic may requre several class sessions for appropriate coverage of the material.
The formal lectures are posted on the web: http://supernet.som.umass.edu and can be downloaded from that site by scrolling to "Fulbright Lectures."
Overview of Network Economics, its History, and its Importance in Economics Today2. Mathematical Background
Basics of Nonlinear Programming Theory3. The Variational Inequality Problem
Basics of Network Theory
Basic Qualitative Theory4. Algorithms for the Solution of Variational Inequality Problems
Relationship to Optimization Problems and Other Classical
Mathematical Programming Problems
The General Iterative Scheme - Projection and Relaxation Methods5. Basic Models of Traffic Assignment and Solution Procedures
The Modified Projection Method
Decomposition Methods - Serial and Parallel
Introduction and History6. Spatial Price Equilibrium Models and Solution Procedures
The Standard Model
The Extended Model
The Elastic Demand Model
The Classical Model7. Oligopolistic Market Equilibrium Problems
Asymmetric and Multicommodity Models
Models with Policy Interventions
Relationship Between Traffic Network and Spatial Price Equilibrium
Nash Equilibrium8. Environmental Networks
The Classical Model
Relationship to Spatial Price Equilibrium
Overview of Environmental Issues and Policies9. Knowledge Networks
Spatial Oligopoly with Permits
Conceptualization and History10. Migration Networks
The Costless Model11. General Economic Equilibrium
Model with Migration Costs
Model with Class Transformations
Walrasian Price Equilibrium12. Financial Networks
Network Equilibrium Equivalence
Portfolio Optimization as a Network Flow Problem13. Multicriteria Network Equilibrium Modeling for the Information Age
Multi-Sector, Multi-Instrument Financial Equilibrium
Multicriteria Decision-Making on Networks14. Space-Time Networks
Application to Teleshopping and Telecommuting Decision-Making
Extension of Multicriteria Decision-Making to Decision-Making Over Space and Over Time15. Supply Chain Networks with Electronic Commerce
Application to Telecomuting versus Commuting Decision-Making
Introduction to Supply Chains and Network AgentsThere will be homework assignments given regularly throughout the duration of the course as well as a project consisting of a paper. The students are expected to actively participate in the course through discussions. The paper should discuss an aspect of the network economy tied to globalization. Specifics of the grading of the course requirements will be finalized with the appropriate representatives from the University of Innsbruck.
Electronic Commerce: B2B and B2C
Applications and Extensions