Skip to main content

Spatial Price Equilibrium

SPE

  • Reference work entry
Encyclopedia of Optimization

Article Outline

Keywords

The Quantity Model

The Price Model

A Dynamic Model

See also

References

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 2,500.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 2,499.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

References

  1. Asmuth R, Eaves BC, Peterson EL (1979) Computing economic equilibria on affine networks. Math Oper Res 4:209–214

    Article  MathSciNet  MATH  Google Scholar 

  2. Cournot A (1897) Researches into the mathematical principles of wealth. MacMillan, New York, English translation; original: 1838.

    Google Scholar 

  3. Dafermos S (1983) An iterative scheme for variational inequalities. Math Program 28:57–72

    Google Scholar 

  4. Dafermos S, Nagurney A (1984) Sensitivity analysis for the general spatial economics equilibrium problem. Oper Res 32:1069–1086

    Article  MathSciNet  MATH  Google Scholar 

  5. Dafermos S, Nagurney A (1985) Isomorphism between spatial price and traffic network equilibrium models. Lefschetz Center Dynamical Systems, vol 85-17. Brown Univ., Providence, RI

    Google Scholar 

  6. Dafermos S, Nagurney A (1989) Supply and demand equilibration algorithms for a class of market equilibrium problems. Transport Sci 23:118–124

    Article  Google Scholar 

  7. Dafermos S, Nagurney A (1993) Dynamical systems and variational inequalities. Ann Oper Res 44:9–42

    MathSciNet  Google Scholar 

  8. Enke S (1951) Equilibrium among spatially separated markets: solution by electronic analogue. Econometrica 10:40–47

    Article  Google Scholar 

  9. Florian M, Hearn D (1995) Network equilibrium models and algorithms. In: Ball MO, Magnanti TL, Monma CL, Nemhauser GL (eds) Network Routing. Handbook Oper Res and Management Sci. Elsevier, Amsterdam, pp 485–550

    Chapter  Google Scholar 

  10. Florian M, Los M (1982) A new look at static spatial price equilibrium models. Regional Sci and Urban Economics 12:579–597

    Article  Google Scholar 

  11. Friesz TL, Harker PT, Tobin RL (1984) Alternative algorithms for the general network spatial price equilibrium problem. J Reg Sci 24:473–507

    Article  Google Scholar 

  12. Glassey CR (1978) A quadratic network optimization model for equilibrium single commodity trade flows. Math Program 14:98–107

    Article  MathSciNet  MATH  Google Scholar 

  13. Guder F, Morris JG, Yoon SH (1992) Parallel and serial successive overrelaxation for multicommodity spatial price equilibrium problems. Transport Sci 26:48–58

    Article  Google Scholar 

  14. Harker PT (ed) (1985) Spatial price equilibrium: Advances in theory, computation and application. Lecture Notes Economics and Math Systems. Springer, Berlin

    MATH  Google Scholar 

  15. Jones PC, Saigal R, Schneider MC (1984) Computing nonlinear network equilibria. Math Program 31:57–66

    Article  MathSciNet  Google Scholar 

  16. Judge GG, Takayama T (eds) (1973) Studies in economic planning over space and time. North-Holland, Amsterdam

    Google Scholar 

  17. Kuhn HW, MacKinnon JG (1975) Sandwich method for finding fixed points. J Optim Th Appl 17:189–204

    Article  MathSciNet  MATH  Google Scholar 

  18. MacKinnon JG (1975) An algorithm for the generalized transportation problem. Regional Sci and Urban Economics 5:445–464

    Article  Google Scholar 

  19. Nagurney A (1987) Competitive equilibrium problems, variational inequalities, and regional science. J Reg Sci 27:503–514

    Article  Google Scholar 

  20. Nagurney A (1987) Computational comparisons of spatial price equilibrium methods. J Reg Sci 27:55–76

    Article  Google Scholar 

  21. Nagurney A (1999) Network economics: A variational inequality approach, 2nd edn. Kluwer, Dordrecht

    Google Scholar 

  22. Nagurney A, Kim DS (1989) Parallel and serial variational inequality decomposition algorithms for multicommodity market equilibrium problems. Internat J Supercomputer Appl 3:34–59

    Article  Google Scholar 

  23. Nagurney A, Nicholson CF, Bishop PM (1996) Massively parallel computation of large-scale spatial price equilibrium models with discriminatory ad valorem tariffs. Ann Oper Res 68:281–300

    Article  MathSciNet  MATH  Google Scholar 

  24. Nagurney A, Takayama T, Zhang D (1995) Projected dynamical systems modeling and computation of spatial network equilibria. Networks 26:69–85

    Article  MATH  Google Scholar 

  25. Nagurney A, Zhang D (1997) Projected dynamical systems and variational inequalities with applications. Kluwer, Dordrecht

    Google Scholar 

  26. Nagurney A, Zhao L (1991) A network equilibrium formulation of market disequilibrium an variational inequalities. Networks 21:109–132

    Article  MathSciNet  MATH  Google Scholar 

  27. Pang JS, Lee PL (1981) A parametric linear complementarity technique for the computation of equilibrium prices in a single commodity spatial model. Math Program 20:81–102

    Article  MathSciNet  MATH  Google Scholar 

  28. Samuelson PA (1952) Spatial price equilibrium and linear programming. Amer Economic Rev 42:283–303

    Google Scholar 

  29. Takayama T, Judge GG (1964) An intertemporal price equilibrium model. J Farm Economics 46:477–484

    Article  Google Scholar 

  30. Takayama T, Judge GG (1971) Spatial and temporal price and allocation models. North-Holland, Amsterdam

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag

About this entry

Cite this entry

Nagurney, A. (2008). Spatial Price Equilibrium . In: Floudas, C., Pardalos, P. (eds) Encyclopedia of Optimization. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-74759-0_628

Download citation

Publish with us

Policies and ethics