Abstract
The perfectly competitive spatial price equilibrium models of Samuelson (1952) and Takayama and Judge (1971) have provided the basic framework for the study of a variety of applications in the fields of energy, agricultural markets, as well as in international trade. Moreover, the demand to extend these fundamental models in various directions has stimulated the development of mathematical methodologies for analysis and computation.
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References
Dafermos, S., and McKelvey, S.C., “Partitionable variational inequalities with applications to network and economic equilibria,” Journal of Optimization Theory and Applications 73 (1992) 243–268.
Dafermos, S., and Nagurney, A. “Sensitivity analysis for the general spatial economic equilibrium problem,” Operations Research 32 (1984) 1069–1086.
Dafermos, S., and Nagurney, A., “Isomorphism between spatial price and traffic network equilibrium problems,” LCDS #85-17, Lefschetz Center for Dynamical Systems, Brown University, Providence, Rhode Island, 1985.
Dafermos, S., and Nagurney, A., “Oligopolistic and competitive behavior of spatially separated markets,” Regional Science and Urban Economics 17 (1987) 245–254.
Florian, M., and Los, M., “A new look at static spatial price equilibrium models,” Regional Science and Urban Economics 12 (1982) 579–597.
Friesz, T. L., Harker, P., and Tobin, R. L., “Alternative algorithms for the general network spatial price equilibrium problem,” Journal of Regional Science 24 (1984) 475–507.
Hartman, P., and Stampacchia, G., “On some nonlinear elliptic differential functional equations,” Acta Mathematica 115 (1966) 271–310.
Hirsch, M. W., and Smale, S., Differential Equations, Dynamical Systems, and Linear Algebra, Academic Press, New York, 1974.
Kinderlehrer, D., and Stampacchia, G., An Introduction to Variational Inequalities and Their Applications, Academic Press, New York, 1980.
Nagurney, A., “Computational comparisons of spatial price equilibrium methods,” Journal of Regional Science 27 (1987) 55–76.
Nagurney, A., Network Economics: A Variational Inequality Approach, Kluwer Academic Publishers, Boston, Massachusetts, 1993.
Nagurney, A., “Parallel computation,” 1995, chapter in Handbook of Computational Economics, H. Amman, J. Rust, and D. Kendrick, editors, North-Holland, Amsterdam, The Netherlands, in press.
Nagurney, A., Takayama, T., and Zhang, D., “Massively parallel computation of spatial price equilibrium problems as dynamical systems,” Journal of Economic Dynamics and Control 18 (1995) 3–37.
Nagurney, A., Takayama, T., and Zhang, D., “ Projected dynamical systems modeling and computation of spatial network equilibria,” Networks (1996), in press.
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 (1996), in press.
Samuelson, P. A., “Spatial price equilibrium and linear programming,” American Economic Review 42 (1952) 283–303.
Smith, T. E., “A solution condition for complementarity problems: with an application to spatial price equilibrium,” Applied Mathematics and Computation 15 (1984) 61–69.
Takayama, T., and Judge, G. G., Spatial and Temporal Price and Allocation Models, North-Holland, Amsterdam, The Netherlands, 1971.
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© 1996 Springer Science+Business Media New York
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Nagurney, A., Zhang, D. (1996). Spatial Price Equilibrium. In: Projected Dynamical Systems and Variational Inequalities with Applications. International Series in Operations Research & Management Science, vol 2. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-2301-7_6
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DOI: https://doi.org/10.1007/978-1-4615-2301-7_6
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