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On Convergence of the PIES Algorithm for Computing Equilibria

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  1. S. Gabriel & J. Fuller, 2010. "A Benders Decomposition Method for Solving Stochastic Complementarity Problems with an Application in Energy," Computational Economics, Springer;Society for Computational Economics, vol. 35(4), pages 301-329, April.
  2. Fuller, J. David & Chung, William, 2008. "Benders decomposition for a class of variational inequalities," European Journal of Operational Research, Elsevier, vol. 185(1), pages 76-91, February.
  3. Xinmin Hu & Daniel Ralph, 2007. "Using EPECs to Model Bilevel Games in Restructured Electricity Markets with Locational Prices," Operations Research, INFORMS, vol. 55(5), pages 809-827, October.
  4. William W. Hogan, 2013. "Electricity Scarcity Pricing Through Operating Reserves," Economics of Energy & Environmental Policy, International Association for Energy Economics, vol. 0(Number 2).
  5. William Chung, 2024. "Truncated Dantzig–Wolfe Decomposition for a Class of Constrained Variational Inequality Problems," Computational Economics, Springer;Society for Computational Economics, vol. 64(1), pages 81-104, July.
  6. Hwang, Won-Sik & Lee, Jeong-Dong, 2015. "A CGE analysis for quantitative evaluation of electricity market changes," Energy Policy, Elsevier, vol. 83(C), pages 69-81.
  7. William W. Hogan, 2002. "Energy Modeling for Policy Studies," Operations Research, INFORMS, vol. 50(1), pages 89-95, February.
  8. Patrice Marcotte & Laura Wynter, 2004. "A New Look at the Multiclass Network Equilibrium Problem," Transportation Science, INFORMS, vol. 38(3), pages 282-292, August.
  9. William Chung & J. D. Fuller & Y. June Wu, 2006. "A New Decomposition Method for Multiregional Economic Equilibrium Models," Operations Research, INFORMS, vol. 54(4), pages 643-655, August.
  10. Chung, William, 2002. "WWW-WATEMS-GDL: an internet modelling system for energy policy models," Energy, Elsevier, vol. 27(6), pages 569-577.
  11. Böhringer, Christoph & Rutherford, Thomos F., 2009. "Integrated assessment of energy policies: Decomposing top-down and bottom-up," Journal of Economic Dynamics and Control, Elsevier, vol. 33(9), pages 1648-1661, September.
  12. Wu, Y. June & Chung, William & Fuller, J. David, 2000. "Decomposing multi-regional dynamic energy process models," Applied Energy, Elsevier, vol. 66(3), pages 225-235, July.
  13. Gabriel, Steven A. & Zhuang, Jifang & Kiet, Supat, 2005. "A large-scale linear complementarity model of the North American natural gas market," Energy Economics, Elsevier, vol. 27(4), pages 639-665, July.
  14. Alejandro Jofré & R. Terry Rockafellar & Roger J-B. Wets, 2007. "Variational Inequalities and Economic Equilibrium," Mathematics of Operations Research, INFORMS, vol. 32(1), pages 32-50, February.
  15. Egging, Rudolf G. & Gabriel, Steven A., 2006. "Examining market power in the European natural gas market," Energy Policy, Elsevier, vol. 34(17), pages 2762-2778, November.
  16. Wu, Y. June & Rosen, Marc A., 1999. "Assessing and optimizing the economic and environmental impacts of cogeneration/district energy systems using an energy equilibrium model," Applied Energy, Elsevier, vol. 62(3), pages 141-154, March.
  17. De Jonghe, C. & Hobbs, B. F. & Belmans, R., 2011. "Integrating short-term demand response into long-term investment planning," Cambridge Working Papers in Economics 1132, Faculty of Economics, University of Cambridge.
  18. Frederic H. Murphy & Murthy V. Mudrageda, 1998. "A Decomposition Approach for a Class of Economic Equilibrium Models," Operations Research, INFORMS, vol. 46(3), pages 368-377, June.
  19. J. Fuller & William Chung, 2005. "Dantzig—Wolfe Decomposition of Variational Inequalities," Computational Economics, Springer;Society for Computational Economics, vol. 25(4), pages 303-326, June.
  20. Thomas Rutherford, 1987. "Implementational Issues and Computational Performance Solving Applied General Equilibrium Models with SLCP," Cowles Foundation Discussion Papers 837, Cowles Foundation for Research in Economics, Yale University.
  21. Gabriel, Steven A. & Vikas, Shree & Ribar, David M., 2000. "Measuring the influence of Canadian carbon stabilization programs on natural gas exports to the United States via a 'bottom-up' intertemporal spatial price equilibrium model," Energy Economics, Elsevier, vol. 22(5), pages 497-525, October.
  22. W. Chung & J. Fuller & Y. Wu, 2003. "A New Demand-Supply Decomposition Method for a Class of Economic Equilibrium Models," Computational Economics, Springer;Society for Computational Economics, vol. 21(3), pages 231-243, June.
  23. Steven A. Gabriel & Supat Kiet & Jifang Zhuang, 2005. "A Mixed Complementarity-Based Equilibrium Model of Natural Gas Markets," Operations Research, INFORMS, vol. 53(5), pages 799-818, October.
  24. GABRIEL, Steven & SMEERS, Yves, 2005. "Complementarity problems in restructured natural gas markets," LIDAM Discussion Papers CORE 2005037, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  25. Basu, A. & Blanning, R. W., 1995. "Metagraphs," Omega, Elsevier, vol. 23(1), pages 13-25, February.
  26. Fuller, J. David & Pirnia, Mehrdad, 2022. "Nonconvex multicommodity near equilibrium models: Energy markets perspective," Operations Research Perspectives, Elsevier, vol. 9(C).
  27. Yang Zhan & Chuangyin Dang, 2018. "A smooth path-following algorithm for market equilibrium under a class of piecewise-smooth concave utilities," Computational Optimization and Applications, Springer, vol. 71(2), pages 381-402, November.
  28. Fernández, Mauricio & Muñoz, Francisco D. & Moreno, Rodrigo, 2020. "Analysis of imperfect competition in natural gas supply contracts for electric power generation: A closed-loop approach," Energy Economics, Elsevier, vol. 87(C).
  29. Steven A. Gabriel & Andy S. Kydes & Peter Whitman, 2001. "The National Energy Modeling System: A Large-Scale Energy-Economic Equilibrium Model," Operations Research, INFORMS, vol. 49(1), pages 14-25, February.
  30. William Chung & J. David Fuller, 2010. "Subproblem Approximation in Dantzig-Wolfe Decomposition of Variational Inequality Models with an Application to a Multicommodity Economic Equilibrium Model," Operations Research, INFORMS, vol. 58(5), pages 1318-1327, October.
  31. Hu, X. & Ralph, R., 2006. "Using EPECs to model bilevel games in restructured electricity markets with locational prices," Cambridge Working Papers in Economics 0619, Faculty of Economics, University of Cambridge.
  32. Jägemann, Cosima & Hagspiel, Simeon & Lindenberger, Dietmar, 2013. "The Economic Inefficiency of Grid Parity: The Case of German Photovoltaics," EWI Working Papers 2013-19, Energiewirtschaftliches Institut an der Universitaet zu Koeln (EWI).
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