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Spatial Price Equilibrium

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Network Economics

Part of the book series: Advances in Computational Economics ((AICE,volume 10))

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Abstract

The concept of a network in economics was implicit as early as in the classical work of Cournot (1838), who not only seems to have first explicitly stated that a competitive price is determined by the intersection of supply and demand curves, but had done so in the context of two spatially separated markets in which the cost of transporting the good between markets was considered.

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References

  • Asmuth, R., Eaves, B. C., and Peterson, E. L., “Computing economic equilibria on affine networks,” Mathematics of Operations Research 4 (1979) 209–214.

    Article  Google Scholar 

  • Cournot, A. A., Researches into the Mathematical Principles of the Theory of Wealth, 1838, English translation, MacMillan, London, England, 1897.

    Google Scholar 

  • Dafermos, S., “An iterative scheme for variational inequalities,” Mathematical Programming 26 (1983), 40–47.

    Article  Google Scholar 

  • Dafermos, S., and McKelvey, S. C., “A general market equilibrium problem and partitionable variational inequalities,” LCDS # 89–4, Lefschetz Center for Dynamical Systems, Brown University, Providence, Rhode Island, 1989.

    Google Scholar 

  • Dafermos, S., and Nagurney, A., “Sensitivity analysis for the general spatial economic equilibrium problem,” Operations Research 32 (1984) 1069–1086.

    Article  Google Scholar 

  • Dafermos, S., and Nagurney, A., “Isomorphism between spatial price and traffic network equilibrium models,“ LCDS # 85–17, Lefschetz Center for Dynamical Systems, Brown University, Providence, Rhode Island, 1985. Enke, S., ”Equilibrium among spatially separated markets: solution by electronic analogue,“ Econometrica 10 (1951) 40–47.

    Google Scholar 

  • Florian, M., and Los, M., “A new look at static spatial price equilibrium models,” Regional Science and Urban Economics 12 (1982) 579–597.

    Article  Google Scholar 

  • Friesz, T. L., Harker, P. T., and Tobin, R. L., “Alternative algorithms for the general network spatial price equilibrium problem,” Journal of Regional Science 24 (1984) 475–507.

    Article  Google Scholar 

  • Friesz, T. L., Tobin, R. L., Smith, T. E., and Harker, P. T., “A nonlinear complementarity formulation and solution procedure for the general derived demand network equilibrium problem,” Journal of Regional Science 23 (1983) 337–359.

    Article  Google Scholar 

  • Glassey, C. R., “A quadratic network optimization model for equilibrium single commodity trade flows,” Mathematical Programming 14 (1978) 98–107.

    Article  Google Scholar 

  • Guder, F., Morris, J. G., and Yoon, S. H., “Parallel and serial successive overrelaxation for multicommodity spatial price equilibrium problems,” Transportation Science 26 (1992) 48–58.

    Article  Google Scholar 

  • Jones, P. C., Saigal, R., and Schneider, M. C., “Computing nonlinear network equilibria,” Mathematical Programming 31 (1984) 57–66. Judge, G. G., and Takayama, T., editors, Studies in Economic Planning Over Space and Time, North-Holland, Amsterdam, The Netherlands, 1973.

    Google Scholar 

  • Marcotte, P., Marquis, G., and Zubieta, L., “A Newton-SOR method for spatial price equilibrium,” Transportation Science 26 (1992) 36–47.

    Article  Google Scholar 

  • McKelvey, S. C., “Partitionable variational inequalities and an application to market equilibrium problems,” Ph. D. Thesis, Division of Applied Mathematics, Brown University, Providence, Rhode Island, 1989.

    Google Scholar 

  • Nagurney, A., “Computational comparisons of spatial price equilibrium methods,” Journal of Regional Science 27 (1987a) 55–76.

    Article  Google Scholar 

  • Nagurney, A., “Competitive equilibrium problems, variational inequalities, and regional science,” Journal of Regional Science 27 (1987b) 503517.

    Google Scholar 

  • Nagurney, A., “The formulation and solution of large-scale multicommodity equilibrium problems over space and time,” European Journal of Operational Research 42 (1989) 166–177.

    Article  Google Scholar 

  • Nagurney, A., “The application of variational inequality theory to the study of spatial equilibrium and disequilibrium,” in Readings in Econometric Theory and Practice: A Volume in Honor of George Judge, pp. 327–355, W. E. Griffiths, H. Lutkepohl, and M. E. Bock, editors, North-Holland, Amsterdam, The Netherlands, 1992.

    Google Scholar 

  • Nagurney, A., and Aronson, J. E., “A general dynamic spatial price equilibrium model: formulation, solution, and computational results,” Journal of Computational and Applied Mathematics 22 (1988) 339–357.

    Article  Google Scholar 

  • Nagurney, A., and Aronson, J. E., “A general dynamic spatial price network equilibrium model with gains and losses,” Networks 19 (1989) 751–769.

    Article  Google Scholar 

  • Nagurney, A., and Kim, D. S., “Parallel and serial variational inequality decomposition algorithms for multicommodity market equilibrium problems,” The International Journal of Supercomputer Applications 3 (1989) 34–59.

    Article  Google Scholar 

  • Nagurney, A., and Kim, D. S., “Parallel computation of large-scale nonlinear network flow problems in the social and economic sciences,” Supercomputer 40 (1990) 10–21.

    Google Scholar 

  • Nagurney, A., and Kim, D. S., “Parallel computation of large-scale dynamic market network equilibria via time period decomposition,” Mathematical and Computer Modelling 15 (1991) 55–67.

    Article  Google Scholar 

  • Nagurney, A., Nicholson, C. F., and Bishop, P. M., “Massively parallel computation of large-scale spatial price equilibrium models with discriminatory ad valorem tariffs,” Annals of Operations Research 68 (1996) 281–300.

    Article  Google Scholar 

  • Nagurney, A., Takayama, T., and Zhang, D., “Massively parallel computation of spatial price equiilibrium problems as dynamical systems,” Journal of Economic Dynamics and Control 18 (1995) 3–37.

    Article  Google Scholar 

  • Nagurney, A., Thore, S., and Pan, J., “Spatial market models with goal targets,” Operations Research 44 (1996) 393–406.

    Article  Google Scholar 

  • Nagurney, A., and Zhang, D., Projected Dynamical Systems and Variational Inequalities with Applications, Kluwer Academic Publishers, Boston, Massachusetts 1996a.

    Google Scholar 

  • Nagurney, A., and Zhang, D., “On the stability of spatial price equilibria modeled as a projected dynamical system,” Journal of Economic Dynamics and Control 20 (1996b) 43–63.

    Article  Google Scholar 

  • Nagurney, A., and Zhao, L., “Disequilibrium and variational inequalities,” Journal of Computational and Applied Mathematics 33 (1990) 181–198.

    Article  Google Scholar 

  • Nagurney, A., and Zhao, L., “A network equilibrium formulation of market disequilibrium and variational inequalities,” Networks 21 (1991) 109132.

    Google Scholar 

  • Nagurney, A., and Zhao, L., “Networks and variational inequalities in the formulation and computation of market disequilibria: the case of direct demand functions,” Transportation Science 27 (1993) 4–15.

    Article  Google Scholar 

  • Pang, J. S., “Solution of the general multicommodity spatial equilibrium problem by variational and complementarity methods,” Journal of Regional Science 24 (1984) 403–414.

    Article  Google Scholar 

  • Pigou, A. C., The Economics of Welfare, MacMillan, London, England, 1920.

    Google Scholar 

  • Samuelson P. A., “Spatial price equilibrium and linear programming,”American Economic Review 42 (1952) 283–303.

    Google Scholar 

  • Samuelson, P. A., “Intertemporal price equilibrium: a prologue to the theory of speculation,” Weltwirtschaftliches Archiv 79 (1957) 181–219.

    Google Scholar 

  • Takayama, T., and Judge, G. G., “An intertemporal price equilibrium model,” Journal of Farm Economics 46 (1964) 477–484.

    Article  Google Scholar 

  • Takayama, T., and Judge, G. G., Spatial and Temporal Price and Allocation Models, North-Holland, Amsterdam, The Netherlands, 1971.

    Google Scholar 

  • Thinking Machines Corporation, “CM- 2 technical summary,” Cambridge, Massachusetts, 1990.

    Google Scholar 

  • Thinking Machines Corporation, “CM- 5 technical summary,” Cambridge, Massachusetts, 1992.

    Google Scholar 

  • Thinking Machines Corporation, “CM Fortran user’s guide,” Cambridge, Massachusetts, 1993.

    Google Scholar 

  • Thore, S., “Spatial disequilibrium,” Journal of Regional Science 26 (1986) 661–675.

    Article  Google Scholar 

  • Thore, S., Economic Logistics, The IC’ Management and Management Science Series 3, Quorum Books, New York, 1991.

    Google Scholar 

  • Thore, S., Nagurney, A., and Pan, J., “Generalized goal programming and variational inequalities,” Operations Research Letters 12 (1992) 217–226.

    Article  Google Scholar 

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Author information

Authors and Affiliations

  1. University of Massachusetts, Amherst, USA

    Anna Nagurney (John F. Smith Memorial Professor)

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  1. Anna Nagurney
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© 1999 Springer Science+Business Media Dordrecht

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Nagurney, A. (1999). Spatial Price Equilibrium. In: Network Economics. Advances in Computational Economics, vol 10. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3005-0_3

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  • DOI: https://doi.org/10.1007/978-1-4757-3005-0_3

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4419-5066-6

  • Online ISBN: 978-1-4757-3005-0

  • eBook Packages: Springer Book Archive

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