Nash-Cournot Equilibria in Electric Power Markets with Piecewise Linear Demand Functions and Joint Constraints

Published Online:https://doi.org/10.1287/opre.1060.0342

References

  • Amundsen E. S., Bergman L., Andersson B. Demand variation and market power in the Norwegian-Swedish power market. (2001) . Working Paper 38, Foundation for Research in Economics Business Administration, Bergen, NorwayGoogle Scholar
  • Berridge S., Krawczyk J. B. Relaxation algorithms in finding Nash equilibria. (1997) . Economics working paper archive. http://econwpa.wustl.edu/eprints/comp/papers/9707/0707002.absGoogle Scholar
  • Boucher J., Smeers Y. Alternative models of restructured electricity systems, part I: No market power. Oper. Res. (2001) 49:821–838LinkGoogle Scholar
  • Bushnell J. A mixed complementarity model of hydrothermal electricity competition in the western United States. Oper. Res. (2003) 51:80–95LinkGoogle Scholar
  • Cardell J., Hitt C. C., Hogan W. W. Market power and strategic interaction in electricity networks. Resource Energy Econom. (1997) 19:109–137CrossrefGoogle Scholar
  • Chen Y., Hobbs B. F., Leyffer S., Munson T. Solution of large-scale leader-follower market equilibrium problems: Electric power and NOx allowances markets. Comput. Management Sci. (2006) 34:307–330CrossrefGoogle Scholar
  • Clarke F. H.Optimization and Nonsmooth Analysis (1983) (John Wiley and Sons, New York) Google Scholar
  • Contreras J., Klusch M., Krawczyk J. B. Numerical solutions to Nash-Cournot equilibria in coupled constraint electricity markets. IEEE Trans. Power Systems (2004) 19:195–206CrossrefGoogle Scholar
  • Cottle R. W., Pang J. S., Stone R. E.The Linear Complementarity Problem (1992) (Academic Press, Cambridge, MA) Google Scholar
  • Daxhalet O., Smeers Y., Ferris M. C., Mangasarian O. L., Pang J. S. Variational inequality models of restructured electric systems. Applications and Algorithms of Complementarity (2001) (Kluwer Academic Press, Dordrecht, The Netherlands) 85–120CrossrefGoogle Scholar
  • Day C., Hobbs B. F., Pang J. S. Oligopolistic competition in power networks: A conjectured supply function approach. IEEE Trans. Power Systems (2002) 17:597–607CrossrefGoogle Scholar
  • Ehrenmann A. Manifolds of multi-leader Cournot equilibria. Oper. Res. Lett. (2004) 32:121–125CrossrefGoogle Scholar
  • Facchinei F., Pang J. S.Finite-Dimensional Variational Inequalities and Complementarity Problems (2003) (Springer-Verlag, New York) Google Scholar
  • Harker P. T. Generalized Nash games and quasivariational inequalities. Eur. J. Oper. Res. (1991) 54:81–94CrossrefGoogle Scholar
  • Hobbs B. F. Linear complementarity models of Nash-Cournot competition in bilateral and POOLCO power markets. IEEE Trans. Power Systems (2001) 16:194–202CrossrefGoogle Scholar
  • Hobbs B. F., Helman U., Bunn D. W. Complementarity-based equilibrium modeling for electric power markets. Modeling Prices in Competitive Electricity Markets (2004) (London, UK)69–95Wiley Series in Financial EconomicsGoogle Scholar
  • Hobbs B. F., Pang J. S. Spatial oligopolistic equilibria with arbitrage, shared resources, and price function conjectures. Math. Programming Ser. B (2004) 101(1):57–94CrossrefGoogle Scholar
  • Hogan W. W. Contract networks for electric power transmission. J. Regulatory Econom. (1992) 4:211–242CrossrefGoogle Scholar
  • Hu X., Ralph D., Bardsley E. K., Ferris M. C. Electricity generation with looped transmission networks: Bidding to an ISO. (2004) . Research Paper 2004/16, Judge Institute of Management Studies, Cambridge University, Cambridge, UKGoogle Scholar
  • Krawczyk J. B., Uryasev S. Relaxation algorithms to find Nash equilibria with economic applications. Environ. Model. Assessment (2000) 5:63–73CrossrefGoogle Scholar
  • Lemke C. E. Bimatrix equilibrium points and mathematical programming. Management Sci. (1965) 11:681–689LinkGoogle Scholar
  • Metzler C., Hobbs B. F., Pang J. S. Nash-Cournot equilibria in power markets on a linearized DC network with arbitrage: Formulations and properties. Networks Spatial Econom. (2003) 3:123–150CrossrefGoogle Scholar
  • Oren S. S. Economic inefficiency of passive transmission rights in congested electricity systems with competitive generation. Energy J. (1997) 18:63–83CrossrefGoogle Scholar
  • Pang J. S. Computing generalized Nash equilibria. (2003) . Unpublished manuscript, Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, NYGoogle Scholar
  • Pang J. S., Fukushima M. Quasi-variational inequalities, generalized Nash equilibria, and multi-leader-follower games. Comput. Management Sci. (2005) 2:21–56CrossrefGoogle Scholar
  • Pang J. S., Hobbs B. F., Day C. J., Sachs E. Properties of oligopolistic market equilibria in linearized DC power networks with arbitrage and supply function conjectures. System Modeling and Optimization XX also, Proc. IFIP TC7 20th Conf. on System Modeling and Optimization (2003) July 23–27Trier, Germany(Kluwer Academic Publishers, Dordrecht, The Netherlands) 113–130CrossrefGoogle Scholar
  • Rivier M., Ventosa M., Ramos A., Martinez-Corcoles F., Toscano A. C., Ferris M. C., Mangasarian O. L., Pang J. S. A generation operation planning model in deregulated electricity markets based on the complementarity problem. Applications and Algorithms of Complementarity (2001) (Kluwer Academic Publishers, Dordrecht, The Netherlands) 273–296CrossrefGoogle Scholar
  • Schweppe F. C., Caramanis M. C., Tabors R. E., Bohn R. E.Spot Pricing of Electricity (1988) (Kluwer Academic Publishers, Norwell, MA) CrossrefGoogle Scholar
  • Stoft S., Singh H. Using game theory to study market power in simple networks. Game Theory Applications in Power Markets (1999) (IEEE Power Engineering Society, Parsippany, NJ) 33–40Google Scholar
  • Wei J. Y., Smeers Y. Spatial oligopolistic electricity models with Cournot generators and regulated transmission prices. Oper. Res. (1999) 47:102–112LinkGoogle Scholar
  • Yao J., Willems B., Oren S. S., Adler I. Cournot equilibrium in price-capped two-settlement electricity markets. Proc. 38th Hawaii Internat. Conf. on Systems Sci. (2005) Big Island, HIGoogle Scholar
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