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

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  • Kimbrough, Steven O.
  • Murphy, Frederic H.

Abstract

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.

Suggested Citation

  • Kimbrough, Steven O. & Murphy, Frederic H., 2013. "Strategic bidding of offer curves: An agent-based approach to exploring supply curve equilibria," European Journal of Operational Research, Elsevier, vol. 229(1), pages 165-178.
  • Handle: RePEc:eee:ejores:v:229:y:2013:i:1:p:165-178
    DOI: 10.1016/j.ejor.2013.02.006
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    1. Junjie Sun & Leigh Tesfatsion, 2007. "Dynamic Testing of Wholesale Power Market Designs: An Open-Source Agent-Based Framework," Computational Economics, Springer;Society for Computational Economics, vol. 30(3), pages 291-327, October.
    2. 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.
    3. 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.
    4. 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.
    5. Derek Bunn & Fernando Oliveira, 2003. "Evaluating Individual Market Power in Electricity Markets via Agent-Based Simulation," Annals of Operations Research, Springer, vol. 121(1), pages 57-77, July.
    6. 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.
    7. Ventosa, Mariano & Baillo, Alvaro & Ramos, Andres & Rivier, Michel, 2005. "Electricity market modeling trends," Energy Policy, Elsevier, vol. 33(7), pages 897-913, May.
    8. Boone, Jan, 2002. "'Be Nice, Unless it Pays to Fight': A New Theory of Price Determination with Implications for Competition Policy," CEPR Discussion Papers 3342, C.E.P.R. Discussion Papers.
    9. Boone, J., 2002. "'Be Nice Unless it Pays to Fight' : A New Theory of Price Determination with Implications for Competition Policy," Other publications TiSEM 739723a0-ffec-49c9-bef8-7, Tilburg University, School of Economics and Management.
    10. Steven Kimbrough & Frederic Murphy, 2009. "Learning to Collude Tacitly on Production Levels by Oligopolistic Agents," Computational Economics, Springer;Society for Computational Economics, vol. 33(1), pages 47-78, February.
    11. 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.
    12. 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 531-546, May.
    13. 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.
    14. 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.
    15. Robert E. Kuenne, 1998. "Price and Nonprice Rivalry in Oligopoly," Palgrave Macmillan Books, Palgrave Macmillan, number 978-0-230-50371-7.
    16. Jean Tirole, 1988. "The Theory of Industrial Organization," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262200716, December.
    17. 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.
    18. Derek W. Bunn & Fernando S. Oliveira, 2008. "Modeling the Impact of Market Interventions on the Strategic Evolution of Electricity Markets," Operations Research, INFORMS, vol. 56(5), pages 1116-1130, October.
    19. 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.
    20. Liski, Matti & Montero, Juan-Pablo, 2006. "Forward trading and collusion in oligopoly," Journal of Economic Theory, Elsevier, vol. 131(1), pages 212-230, November.
    21. Klemperer, Paul D & Meyer, Margaret A, 1989. "Supply Function Equilibria in Oligopoly under Uncertainty," Econometrica, Econometric Society, vol. 57(6), pages 1243-1277, November.
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    Cited by:

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    2. Viehmann, Johannes & Lorenczik, Stefan & Malischek, Raimund, 2021. "Multi-unit multiple bid auctions in balancing markets: An agent-based Q-learning approach," Energy Economics, Elsevier, vol. 93(C).
    3. Viehmann, Johannes & Lorenczik, Stefan & Malischek, Raimund, 2018. "Multi-unit multiple bid auctions in balancing markets: an agent-based Q-learning approach," EWI Working Papers 2018-3, Energiewirtschaftliches Institut an der Universitaet zu Koeln (EWI).
    4. James Fain, 2023. "Should retail stores locate close to a rival?," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 18(1), pages 129-162, January.
    5. Mestre, Guillermo & Sánchez-Úbeda, Eugenio F. & Muñoz San Roque, Antonio & Alonso, Estrella, 2022. "The arithmetic of stepwise offer curves," Energy, Elsevier, vol. 239(PE).
    6. Marco Catola & Silvia Leoni, 2023. "Pollution Abatement and Lobbying in a Cournot Game. An Agent-Based Modelling approach," Discussion Papers 2023/294, Dipartimento di Economia e Management (DEM), University of Pisa, Pisa, Italy.

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