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Supply and Demand Equilibration Algorithms for a Class of Market Equilibrium Problems

Author

Listed:
  • Stella Dafermos

    (Brown University, Providence, Rhode Island 02912)

  • Anna Nagurney

    (University of Massachusetts, Amherst, Massachusetts 01003)

Abstract

In this paper, we describe a family of progressive equilibration algorithms which can be used to solve a variety of market equilibrium problems such as the general spatial price equilibrium problem, the single price spatial price equilibrium problem, etc. They are relaxation-type algorithms which attempt to equilibrate the whole system by equilibrating successively each supply market (producer), or each demand market (consumer). One noteworthy feature of these algorithms is that, due to the special structure of the problem, the restricted equilibrium for each supply market (or demand market) can be obtained explicitly in closed form; another feature is that they are intuitive and straightforward to implement. Moreover, the computational results demonstrate that the algorithms are efficient and suitable for large-scale problems.

Suggested Citation

  • Stella Dafermos & Anna Nagurney, 1989. "Supply and Demand Equilibration Algorithms for a Class of Market Equilibrium Problems," Transportation Science, INFORMS, vol. 23(2), pages 118-124, May.
    • Handle: RePEc:inm:ortrsc:v:23:y:1989:i:2:p:118-124
    DOI: 10.1287/trsc.23.2.118
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    Citations

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    Cited by:

    1. Bing-sheng He & Wei Xu & Hai Yang & Xiao-Ming Yuan, 2011. "Solving Over-production and Supply-guarantee Problems in Economic Equilibria," Networks and Spatial Economics, Springer, vol. 11(1), pages 127-138, March.
    2. C. W. Yang & Ken Hung, 2010. "Stability Of Rents And Returns As A Source Of Internal Financing: Evidence From Appalachian Coal Producers," Accounting & Taxation, The Institute for Business and Finance Research, vol. 2(1), pages 33-46.
    3. Nagurney, Anna & Takayama, Takashi & Zhang, Ding, 1995. "Massively parallel computation of spatial price equilibrium problems as dynamical systems," Journal of Economic Dynamics and Control, Elsevier, vol. 19(1-2), pages 3-37.
    4. Zhao, Lan & Nagurney, Anna, 2008. "A network equilibrium framework for Internet advertising: Models, qualitative analysis, and algorithms," European Journal of Operational Research, Elsevier, vol. 187(2), pages 456-472, June.
    5. Li, Min & Liao, Li-Zhi & Yuan, Xiao-ming, 2008. "A modified descent method for co-coercive variational inequalities," European Journal of Operational Research, Elsevier, vol. 189(2), pages 310-323, September.
    6. He, Bingsheng & He, Xiao-Zheng & Liu, Henry X. & Wu, Ting, 2009. "Self-adaptive projection method for co-coercive variational inequalities," European Journal of Operational Research, Elsevier, vol. 196(1), pages 43-48, July.
    7. Konur, Dinçer & Geunes, Joseph, 2012. "Competitive multi-facility location games with non-identical firms and convex traffic congestion costs," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(1), pages 373-385.
    8. Walter C. Labys & Chin-wei Yang, 1991. "Advances in the Spatial Equilibrium Modeling of Mineral and Energy Issues," International Regional Science Review, , vol. 14(1), pages 61-94, April.
    9. Patriksson, Michael, 2008. "A survey on the continuous nonlinear resource allocation problem," European Journal of Operational Research, Elsevier, vol. 185(1), pages 1-46, February.

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