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Massively parallel computation of spatial price equilibrium problems as dynamical systems

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  • Nagurney, Anna
  • Takayama, Takashi
  • Zhang, Ding

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  • 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.
    • Handle: RePEc:eee:dyncon:v:19:y:1995:i:1-2:p:3-37
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    References listed on IDEAS

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    1. Patrice Marcotte & Gérald Marquis & Lourdes Zubieta, 1992. "A Newton-SOR Method for Spatial Price Equilibrium," Transportation Science, INFORMS, vol. 26(1), pages 36-47, February.
    2. Florian, Michael & Los, Marc, 1982. "A new look at static spatial price equilibrium models," Regional Science and Urban Economics, Elsevier, vol. 12(4), pages 579-597, November.
    3. Dafermos, Stella, 1986. "Isomorphic multiclass spatial price and multimodal traffic network equilibrium models," Regional Science and Urban Economics, Elsevier, vol. 16(2), pages 197-209, May.
    4. Kim, Dae-Shik & Nagurney, Anna, 1993. "Massively Parallel Implementation of the Splitting Equilibration Algorithm," Computational Economics, Springer;Society for Computational Economics, vol. 6(3-4), pages 151-161, November.
    5. 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.
    6. Faruk Güder & James G. Morris & Seok H. Yoon, 1992. "Parallel and Serial Successive Overrelaxation for Multicommodity Spatial Price Equilibrium Problems," Transportation Science, INFORMS, vol. 26(1), pages 48-58, February.
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    Citations

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    Cited by:

    1. Mathur, Sudhanshu & Morozov, Sergei, 2009. "Massively Parallel Computation Using Graphics Processors with Application to Optimal Experimentation in Dynamic Control," MPRA Paper 16721, University Library of Munich, Germany.
    2. Anna Nagurney & Ke Ke & Jose Cruz & Kitty Hancock & Frank Southworth, 2002. "Dynamics of Supply Chains: A Multilevel (Logistical–Informational–Financial) Network Perspective," Environment and Planning B, , vol. 29(6), pages 795-818, December.
    3. Nagurney, Anna & Besik, Deniz & Dong, June, 2019. "Tariffs and quotas in world trade: A unified variational inequality framework," European Journal of Operational Research, Elsevier, vol. 275(1), pages 347-360.
    4. Sergei Morozov & Sudhanshu Mathur, 2012. "Massively Parallel Computation Using Graphics Processors with Application to Optimal Experimentation in Dynamic Control," Computational Economics, Springer;Society for Computational Economics, vol. 40(2), pages 151-182, August.
    5. Nagurney, Anna & Zhang, Ding, 1998. "A massively parallel implementation of a discrete-time algorithm for the computation of dynamic elastic demand traffic problems modeled as projected dynamical systems," Journal of Economic Dynamics and Control, Elsevier, vol. 22(8-9), pages 1467-1485, August.
    6. Kieran P. Donaghy, 2012. "The Co-evolution of Logistics, Globalization and Spatial Price Competition: Implications for a Unified Theory of Trade and Location," Chapters, in: Roberta Capello & Tomaz Ponce Dentinho (ed.), Globalization Trends and Regional Development, chapter 3, Edward Elgar Publishing.
    7. Michael Creel & William Goffe, 2008. "Multi-core CPUs, Clusters, and Grid Computing: A Tutorial," Computational Economics, Springer;Society for Computational Economics, vol. 32(4), pages 353-382, November.
    8. Nagurney, Anna & Zhang, Ding, 1996. "On the stability of an adjustment process for spatial price equilibrium modeled as a projected dynamical system," Journal of Economic Dynamics and Control, Elsevier, vol. 20(1-3), pages 43-62.
    9. Nagurney, Anna & Li, Dong & Nagurney, Ladimer S., 2014. "Spatial price equilibrium with information asymmetry in quality and minimum quality standards," International Journal of Production Economics, Elsevier, vol. 158(C), pages 300-313.
    10. Zhang, Ding, 2006. "A network economic model for supply chain versus supply chain competition," Omega, Elsevier, vol. 34(3), pages 283-295, June.
    11. Anna Nagurney & Dong Li, 2014. "A Dynamic Network Oligopoly Model with Transportation Costs, Product Differentiation, and Quality Competition," Computational Economics, Springer;Society for Computational Economics, vol. 44(2), pages 201-229, August.
    12. Morozov, Sergei & Mathur, Sudhanshu, 2009. "Massively parallel computation using graphics processors with application to optimal experimentation in dynamic control," MPRA Paper 30298, University Library of Munich, Germany, revised 04 Apr 2011.
    13. Anna Nagurney, 2010. "Formulation and analysis of horizontal mergers among oligopolistic firms with insights into the merger paradox: a supply chain network perspective," Computational Management Science, Springer, vol. 7(4), pages 377-406, October.
    14. Anna Nagurney & Ding Zhang, "undated". "Massively Parallel Computation of Dynamic Traffic Problems Modeled as Projected Dynamical Systems," Computing in Economics and Finance 1996 _039, Society for Computational Economics.
    15. Anna Nagurney & Tilman Wolf, 2014. "A Cournot–Nash–Bertrand game theory model of a service-oriented Internet with price and quality competition among network transport providers," Computational Management Science, Springer, vol. 11(4), pages 475-502, October.
    16. Flam, Sjur Didrik, 1996. "Approaches to economic equilibrium," Journal of Economic Dynamics and Control, Elsevier, vol. 20(9-10), pages 1505-1522.

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