Pollution Permits for Spatial Price Networks

  • Anna Nagurney
Part of the Applied Optimization book series (APOP, volume 63)

Abstract

In this paper, we develop a spatial price network equilibrium model with marketable pollution permits using the theory of variational inequalities. The model has the distinctive feature that it allows for the imposition of environmental quality standards for both the producers at the supply markets as well as on the transportation links. The permits are distinct and recognize that producers may emit pollutants that are different from those that are emitted during transportation. We provide qualitative properties of the equilibrium supply, shipment, demand, marginal cost of emission abatement, license, and license price pattern as well as a numerical scheme for the computation of the equilibrium pattern. We conclude with several numerical examples for illustrative purposes.

Keywords

Variational Inequality License Price Emission License Supply Market Emission Abatement 
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References

  1. Allen, W. G. (1996), “Model Improvements for Evaluating Pricing Strategies,” Transportation Research Record 1498, 75–81.Google Scholar
  2. Anderson, W. P., Kanaroglu, P. S., Miller, E. J., and Buliung, R. N. (1996), “ Simulating Automobile Emissions in an Integrated Urban Model,” Transportation Research Record 1520, 71–80.CrossRefGoogle Scholar
  3. Crocker, T. D. (1966), “The Structuring of Atmospheric Pollution Control Systems,” in The Economics of Air Pollution, pp. 61–86, H. Wolozin, editor, W. W. Norton, New York.Google Scholar
  4. Dafermos, S., and Nagurney, A. (1987), “Oligopolistic and Competitive Behavior of Spatially Separated Markets,” Regional Science and Urban Economics 17, 245254.Google Scholar
  5. Dales, J. H. (1968), Pollution, Property, and Prices, University of Toronoto, Toronto, Ontario, Canada.Google Scholar
  6. DeCorla-Souza, P., Everett, J., Cosby, J., and Lim, P. (1985), “Trip-Based Approach to Estimate Emissions with Environmental Protection Agency’s MOBILE Model,” Transportation Research Record 1444, 118–125.Google Scholar
  7. Florian, M., and Los, M. (1982), “A New Look at Static Spatial Price Equilibrium Models,” Regional Science and Urban Economics 12, 579–597.CrossRefGoogle Scholar
  8. Glover, E. L., and Brzezinski, D. J. (1989), “MOBILE4 Exhaust Emission Factors and Inspection/Maintenance Benefits for Passenger Cars,” Technical Report EPA-AATSS-I/M-89–3.Google Scholar
  9. Kinderlehrer, D., and Stampacchia, G. (1980), An Introduction to Variational Inequalities and Their Applications, Academic Press, New York.Google Scholar
  10. Korpelevich, G. M. (1977), “The Extragradient Method for Finding Saddle Points and Other Problems,” Matekon 13 35–49.Google Scholar
  11. Montgomery, W. D. (1972), “Markets in Licenses and Efficient Pollution Control Programs,” Journal of Economic Theory 5, 395–418.CrossRefGoogle Scholar
  12. Nagurney, A. (1987), “Computational Comparisons of Spatial Price Equilibrium Methods,” Journal of Regional Science 27, 55–76.CrossRefGoogle Scholar
  13. Nagurney, A. (1999), Network Economics: A Variational Inequality Approach, second and revised edition, Kluwer Academic Publishers, Boston, Massachusetts.Google Scholar
  14. Nagurney, A. (1994), “Variational Inequalities in the Analysis and Computation of Multi-Sector, Multi-Instrument Financial Equilibria,” Journal of Economic Dynamics and Control 18, 161–184.CrossRefGoogle Scholar
  15. Nagurney, A., and Dhanda, K. (1996) “A Variational Inequality Approach for Marketable Pollution Permits,” Computational Economics 9, 363–384.CrossRefGoogle Scholar
  16. Nagurney, A., and Dhanda, K. K. (1997a), “Marketable Pollution Permits in Oligopolistic Markets with Transaction Costs,” Operations Research,in press.Google Scholar
  17. Nagurney, A., and Dhanda, K. K. (1997b), “Variational Inequalities for Marketable Pollution Permits with Technological Investment Opportunities: The Case of Oligopolistic Markets,” Mathematical and Computer Modelling 26 1–25.Google Scholar
  18. Nagurney, A., Ramanujam, P., and Dhanda, K. K. (1998), “A Multimodal Traffic Network Equilibrium Model with Emission Pollution Permits: Compliance Versus Noncompliance,” Transportation Research D 3, 349–374.CrossRefGoogle Scholar
  19. Nagurney, A., Takayama, T., and Zhang, D. (1995), “Massively Parallel Computation of Spatial Price Equilibrium Problems as Dynamical Systems,” Journal of Economic Dynamics and Control 18, 3–37.Google Scholar
  20. Samuelson, P. A. (1952), “Spatial Price Equilibrium and Linear Programming,” American Economic Review 42, 283–303.Google Scholar
  21. Takayama, T., and Judge, G. G. (1971) Spatial and Temporal Price and Allocation ModelsNorth Holland, Amsterdam, The Netherlands.Google Scholar
  22. Tietenberg, T. H. (1985), Emissions Trading: An Exercise in Reforming Pollution Policy, Resources for the Future, Inc., Washington, DC.Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2002

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  • Anna Nagurney

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