Strictly and Γ-robust counterparts of electricity market models: Perfect competition and Nash–Cournot equilibria
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DOI: 10.1016/j.orp.2021.100197
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- van der Weijde, Adriaan Hendrik & Hobbs, Benjamin F., 2012. "The economics of planning electricity transmission to accommodate renewables: Using two-stage optimisation to evaluate flexibility and the cost of disregarding uncertainty," Energy Economics, Elsevier, vol. 34(6), pages 2089-2101.
- Krebs, Vanessa & Schmidt, Martin, 2018. "Uniqueness of market equilibria on networks with transport costs," Operations Research Perspectives, Elsevier, vol. 5(C), pages 169-173.
- Dimitris Bertsimas & Melvyn Sim, 2004. "The Price of Robustness," Operations Research, INFORMS, vol. 52(1), pages 35-53, February.
- A. L. Soyster, 1973. "Technical Note—Convex Programming with Set-Inclusive Constraints and Applications to Inexact Linear Programming," Operations Research, INFORMS, vol. 21(5), pages 1154-1157, October.
- Andreas Ehrenmann & Yves Smeers, 2011. "Generation Capacity Expansion in a Risky Environment: A Stochastic Equilibrium Analysis," Operations Research, INFORMS, vol. 59(6), pages 1332-1346, December.
- WEI, Jing-Yuan & SMEERS, Yves, 1999. "Spatial oligopolistic electricity models with Cournot generators and regulated transmission prices," LIDAM Reprints CORE 1454, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Gorissen, Bram L. & Yanıkoğlu, İhsan & den Hertog, Dick, 2015. "A practical guide to robust optimization," Omega, Elsevier, vol. 53(C), pages 124-137.
- 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.
- Andreas Ehrenmann & Karsten Neuhoff, 2009.
"A Comparison of Electricity Market Designs in Networks,"
Operations Research, INFORMS, vol. 57(2), pages 274-286, April.
- Ehrenmann, A. & Neuhoff, K., 2003. "A Comparison of Electricity Market Designs in Networks," Cambridge Working Papers in Economics 0341, Faculty of Economics, University of Cambridge.
- Andreas Ehrenmann & Karsten Neuhoff, 2003. "A Comparison of Electricity Market Designs in Networks," Working Papers EP31, Energy Policy Research Group, Cambridge Judge Business School, University of Cambridge.
- Ruiz, C. & Conejo, A.J., 2015. "Robust transmission expansion planning," European Journal of Operational Research, Elsevier, vol. 242(2), pages 390-401.
- RALPH, Daniel & SMEERS, Yves, 2015. "Risk trading and endogenous probabilities in investment equilibria," LIDAM Reprints CORE 2727, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- DAXHELET, Olivier & SMEERS, Yves, 2001. "Variational inequality models of restructured electricity systems," LIDAM Reprints CORE 1507, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- EHRENMANN, Andreas & SMEERS, Yves, 2011. "Generation capacity expansion in a risky environment: a stochastic equilibrium analysis," LIDAM Reprints CORE 2379, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Benjamin F. Hobbs & J. S. Pang, 2007. "Nash-Cournot Equilibria in Electric Power Markets with Piecewise Linear Demand Functions and Joint Constraints," Operations Research, INFORMS, vol. 55(1), pages 113-127, February.
- de Frutos, María-Ángeles & Fabra, Natalia, 2011.
"Endogenous capacities and price competition: The role of demand uncertainty,"
International Journal of Industrial Organization, Elsevier, vol. 29(4), pages 399-411, July.
- Fabra, Natalia & de Frutos, Maria-Angeles, 2007. "Endogenous Capacities and Price Competition: The Role of Demand Uncertainty," CEPR Discussion Papers 6096, C.E.P.R. Discussion Papers.
- Xiaojun Chen & Masao Fukushima, 2005. "Expected Residual Minimization Method for Stochastic Linear Complementarity Problems," Mathematics of Operations Research, INFORMS, vol. 30(4), pages 1022-1038, November.
- D'Aertrycke, G. & Ehrenmann, A. & Ralph, D. & Smeers, Y., 2017. "Risk trading in capacity equilibrium models," Cambridge Working Papers in Economics 1757, Faculty of Economics, University of Cambridge.
- Jiang, Ruiwei & Zhang, Muhong & Li, Guang & Guan, Yongpei, 2014. "Two-stage network constrained robust unit commitment problem," European Journal of Operational Research, Elsevier, vol. 234(3), pages 751-762.
- Grimm, Veronika & Schewe, Lars & Schmidt, Martin & Zöttl, Gregor, 2017. "Uniqueness of market equilibrium on a network: A peak-load pricing approach," European Journal of Operational Research, Elsevier, vol. 261(3), pages 971-983.
- Krebs, Vanessa & Schewe, Lars & Schmidt, Martin, 2018. "Uniqueness and multiplicity of market equilibria on DC power flow networks," European Journal of Operational Research, Elsevier, vol. 271(1), pages 165-178.
- Giovanni Paolo Crespi & Davide Radi & Matteo Rocca, 2017. "Robust games: theory and application to a Cournot duopoly model," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 40(1), pages 177-198, November.
- Wei Jing-Yuan & Yves Smeers, 1999. "Spatial Oligopolistic Electricity Models with Cournot Generators and Regulated Transmission Prices," Operations Research, INFORMS, vol. 47(1), pages 102-112, February.
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- Dongwei Zhao & Sarah Coyle & Apurba Sakti & Audun Botterud, 2022. "Market Mechanisms for Low-Carbon Electricity Investments: A Game-Theoretical Analysis," Papers 2212.06984, arXiv.org, revised Aug 2023.
- Zhao, Dongwei & Jafari, Mehdi & Botterud, Audun & Sakti, Apurba, 2022. "Strategic energy storage investments: A case study of the CAISO electricity market," Applied Energy, Elsevier, vol. 325(C).
- Arkajyoti De & Surya Prakash Singh, 2022. "Analysis of Competitiveness in Agri-Supply Chain Logistics Outsourcing: A B2B Contractual Framework," Sustainability, MDPI, vol. 14(11), pages 1-33, June.
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Keywords
Robust optimization; Linear complementarity problems; Electricity market equilibrium models; Perfect competition; Nash–Cournot competition;All these keywords.
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