A Decomposition Approach for a Class of Economic Equilibrium Models

Published Online:https://doi.org/10.1287/opre.46.3.368

References

  • Ahn B., Hogan W. W. On convergence of the PIES algorithm for computing equilibria. Opns. Res. (1982) 30:281–300LinkGoogle Scholar
  • Brooke A., Kendrick D., Meeraus A. GAMS: A user's guide. (1993) (Scientific Press, Redwood City, CA) Google Scholar
  • Dafermos S., Nagurney A. Sensitivity analysis for the general spatial economic equilibrium problem. Opns. Res. (1984) 32:1069–1086LinkGoogle Scholar
  • Dirickx Y. M. I., Jennigren L. P. Systems analysis by multilevel methods with applications to economics and management. (1979) (John Wiley & Sons, New York, NY) Google Scholar
  • Enke S. Equilibrium among spatially separated markets: Solution by electric analogue. Econometrica (1951) 19:40–47CrossrefGoogle Scholar
  • Fox K. A. A spatial equilibrium model of the livestock-feed economy in the United States. Econometrica (1953) 21:547–566CrossrefGoogle Scholar
  • Gabriel S. A., Kydes A. S. A nonlinear complementarity approach for the national energy modeling system. (1995) . Mathematics and Computer Science Division, Argonne National Laboratory, Preprint MCS-P504-0395, MarchGoogle Scholar
  • Gabriel S. A., Pang J. S. An inexact NE/SQP method for solving the nonlinear complementarity problem. Computational Optim. Appl. (1992) 1:67–91CrossrefGoogle Scholar
  • Greenberg H. J., Murphy F. H. Computing regulated market equilibria with mathematical programming. Opns. Res. (1985) 33:935–955LinkGoogle Scholar
  • Harker P. T., Pang J. S. Finite-dimensional variational inequalities and nonlinear complementarity problems: A survey of theory, algorithms and applications. Math. Prog. (1990) 48:161–220CrossrefGoogle Scholar
  • Harker P. T. Lectures on computation of equilibria with equation-based methods. (1992) . CORE Lecture Series. CORE Foundation, Louvain-la-NeuveGoogle Scholar
  • Hogan W. W. Energy policy models for project independence. Comp. Oper. Res. (1975) 2:251–271CrossrefGoogle Scholar
  • Holmberg K. Linear mean value cross decomposition: A generalization of the Kornai-Liptak method. Eur. J. Opnl. Res. (1992) 62:55–73CrossrefGoogle Scholar
  • Jones P. C., Saigal R., Schneider M. A variable dimension homotopy on networks for computing linear spatial equilibria. Discrete Appl. Math. (1986) 13:131–156CrossrefGoogle Scholar
  • Lemke C. E. Bimatrix equilibrium points and mathematical programming. Management Sci. (1965) 11:681–689LinkGoogle Scholar
  • Loulou R., Savard G., Lavigne D., Basar T., Haurie A. Decomposition of multiplayer linear programs. Advances in Dynamic Games and Applications (1994) (Birkhauser)149–167Annals of the International Society of Dynamic GamesCrossrefGoogle Scholar
  • Matheison L. Computational experience in solving equilibrium models by a sequence of linear complementarity problems. Opns. Res. (1985) 33:1225–1250LinkGoogle Scholar
  • Mudrageda M. V. Decomposition approaches for computing large scale spatial economic equilibria. (1996) . Doctoral dissertation, Temple University, Philadelphia, PAGoogle Scholar
  • Murphy F. H., Mudrageda M. V. An algorithm for solving the spatial economic equilibrium model. (1996) . Working paper, Temple University, Philadelphia, PAGoogle Scholar
  • Murphy F. H. Approaches for improving the convergence properties of NEMS. (1994) . Report to the Energy Information Administration. March 15Google Scholar
  • Murphy F. H., Conti J., Sanders R., Shaw S. Modeling and forecasting energy markets with the intermediate future forecasting system. Opns. Res. (1988) 36:406–420LinkGoogle Scholar
  • Murphy F. H., Stohr E. A. An intelligent system for formulating mathematical programs. Decision Support Systems (1986) 2:39–48CrossrefGoogle Scholar
  • Murphy F. H., Shaw S. The evolution of energy modeling at the federal energy administration and the energy information administration. Interfaces (1995) 25:173–193LinkGoogle Scholar
  • Nagurney A. Computational comparisons of spatial equilibrium methods. J. Reg. Sci. (1987) 27:55–76CrossrefGoogle Scholar
  • Nagurney A. Network economics: A variational inequality approach. (1993) (Kluwer Academic Publishers, Norwell, MA) Google Scholar
  • Pang J. S., Gabriel S. A. NE/SQP: A robust algorithm for the nonlinear complementarity problem. Math. Prog. (1992) 60:295–337CrossrefGoogle Scholar
  • Rutherford T. F. Applied general equilibrium modeling with MPSGE as a GAMS subsystem. (1994) . Working paper, University of Colorado, Boulder, COGoogle Scholar
  • Samuelson P. A. Spatial price equilibrium and linear programming. Amer. Econom. Rev. (1952) 42:283–303Google Scholar
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