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Strategic bidding of offer curves: An agent-based approach to exploring supply curve equilibria

  • Kimbrough, Steven O.
  • Murphy, Frederic H.
Registered author(s):

    We model a market in which suppliers bid step-function offer curves using agent-based modeling. Our model is an abstraction of electricity markets where step-function offer curves are given to an independent system operator that manages the auctions in electricity markets. Positing an elementary and computationally accessible learning model, Probe and Adjust, we present analytic results that characterize both the behavior of the learning model and the properties of step-function equilibria. Thus, we have developed a framework for validating agent-based models prior to using them in situations that are too complicated to be analyzed using traditional economic theory. In addition, we demonstrate computationally that, by using alternative policies, even simple agents can achieve monopoly rewards for themselves by pursuing more industry-oriented strategies. This raises the issue of how participants in oligopolistic markets actually behave.

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    Article provided by Elsevier in its journal European Journal of Operational Research.

    Volume (Year): 229 (2013)
    Issue (Month): 1 ()
    Pages: 165-178

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    Handle: RePEc:eee:ejores:v:229:y:2013:i:1:p:165-178
    Contact details of provider: Web page: http://www.elsevier.com/locate/eor

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    1. Rothkopf, Michael H., 1999. "Daily Repetition: A Neglected Factor in the Analysis of Electricity Auctions," The Electricity Journal, Elsevier, vol. 12(3), pages 60-70, April.
    2. Steven Kimbrough & Frederic Murphy, 2009. "Learning to Collude Tacitly on Production Levels by Oligopolistic Agents," Computational Economics, Society for Computational Economics, vol. 33(1), pages 47-78, February.
    3. Holmberg, Pär & Newbery, David & Ralph, Daniel, 2013. "Supply function equilibria: Step functions and continuous representations," Journal of Economic Theory, Elsevier, vol. 148(4), pages 1509-1551.
    4. Jean Tirole, 1988. "The Theory of Industrial Organization," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262200716, June.
    5. Anderson, E.J. & Cau, T.D.H., 2011. "Implicit collusion and individual market power in electricity markets," European Journal of Operational Research, Elsevier, vol. 211(2), pages 403-414, June.
    6. Holmberg, Pär & Newbery, David, 2010. "The supply function equilibrium and its policy implications for wholesale electricity auctions," Utilities Policy, Elsevier, vol. 18(4), pages 209-226, December.
    7. Banal-Estañol, Albert & Rupérez Micola, Augusto, 2011. "Behavioural simulations in spot electricity markets," European Journal of Operational Research, Elsevier, vol. 214(1), pages 147-159, October.
    8. Matti Liski & Juan-Pablo Montero, 2004. "Forward trading and collusion in oligopoly," Working Papers 0412, Massachusetts Institute of Technology, Center for Energy and Environmental Policy Research.
    9. Ventosa, Mariano & Baillo, Alvaro & Ramos, Andres & Rivier, Michel, 2005. "Electricity market modeling trends," Energy Policy, Elsevier, vol. 33(7), pages 897-913, May.
    10. David M. Newbery, 2005. "Electricity liberalization in Britain: The quest for a satisfactory wholesale market design," The Energy Journal, International Association for Energy Economics, vol. 0(Special I), pages 43-70.
    11. John Bower & Derek W. Bunn, 2000. "Model-Based Comparisons of Pool and Bilateral Markets for Electricity," The Energy Journal, International Association for Energy Economics, vol. 0(Number 3), pages 1-29.
    12. Klemperer, Paul D & Meyer, Margaret A, 1989. "Supply Function Equilibria in Oligopoly under Uncertainty," Econometrica, Econometric Society, vol. 57(6), pages 1243-77, November.
    13. Wang, Lizhi & Mazumdar, Mainak & Bailey, Matthew D. & Valenzuela, Jorge, 2007. "Oligopoly models for market price of electricity under demand uncertainty and unit reliability," European Journal of Operational Research, Elsevier, vol. 181(3), pages 1309-1321, September.
    14. von der Fehr, Nils-Henrik Morch & Harbord, David, 1993. "Spot Market Competition in the UK Electricity Industry," Economic Journal, Royal Economic Society, vol. 103(418), pages 531-46, May.
    15. Bunn, Derek W. & Oliveira, Fernando S., 2007. "Agent-based analysis of technological diversification and specialization in electricity markets," European Journal of Operational Research, Elsevier, vol. 181(3), pages 1265-1278, September.
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