IDEAS home Printed from https://ideas.repec.org/a/kap/netspa/v17y2017i2d10.1007_s11067-016-9336-8.html
   My bibliography  Save this article

A Stochastic Multi-agent Optimization Model for Energy Infrastructure Planning under Uncertainty in An Oligopolistic Market

Author

Listed:
  • Zhaomiao Guo

    (University of California)

  • Yueyue Fan

    (University of California)

Abstract

This paper presents a mathematical model for analyzing long-term infrastructure investment decisions in a deregulated electricity market, such as the case in the United States. The interdependence between different decision entities in the system is captured in a network-based stochastic multi-agent optimization model, where new entrants of investors compete among themselves and with existing generators for natural resources, transmission capacities, and demand markets. To overcome computational challenges involved in stochastic multi-agent optimization problems, we have developed a solution method by combining stochastic decomposition and variational inequalities, which converts the original problem to many smaller problems that can be solved more easily.

Suggested Citation

  • Zhaomiao Guo & Yueyue Fan, 2017. "A Stochastic Multi-agent Optimization Model for Energy Infrastructure Planning under Uncertainty in An Oligopolistic Market," Networks and Spatial Economics, Springer, vol. 17(2), pages 581-609, June.
    • Handle: RePEc:kap:netspa:v:17:y:2017:i:2:d:10.1007_s11067-016-9336-8
    DOI: 10.1007/s11067-016-9336-8
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s11067-016-9336-8
    File Function: Abstract
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s11067-016-9336-8?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Genc, Talat S. & Reynolds, Stanley S. & Sen, Suvrajeet, 2007. "Dynamic oligopolistic games under uncertainty: A stochastic programming approach," Journal of Economic Dynamics and Control, Elsevier, vol. 31(1), pages 55-80, January.
    2. Pierre-Olivier Pineau & Pauli Murto, 2003. "An Oligopolistic Investment Model of the Finnish Electricity Market," Annals of Operations Research, Springer, vol. 121(1), pages 123-148, July.
    3. James B. Bushnell & Erin T. Mansur & Celeste Saravia, 2008. "Vertical Arrangements, Market Structure, and Competition: An Analysis of Restructured US Electricity Markets," American Economic Review, American Economic Association, vol. 98(1), pages 237-266, March.
    4. R. T. Rockafellar & Roger J.-B. Wets, 1991. "Scenarios and Policy Aggregation in Optimization Under Uncertainty," Mathematics of Operations Research, INFORMS, vol. 16(1), pages 119-147, February.
    5. Jan Abrell & Hannes Weigt, 2012. "Combining Energy Networks," Networks and Spatial Economics, Springer, vol. 12(3), pages 377-401, September.
    6. Mian Li & Steven Gabriel & Yohan Shim & Shapour Azarm, 2011. "Interval Uncertainty-Based Robust Optimization for Convex and Non-Convex Quadratic Programs with Applications in Network Infrastructure Planning," Networks and Spatial Economics, Springer, vol. 11(1), pages 159-191, March.
    7. Yueyue Fan & Changzheng Liu, 2010. "Solving Stochastic Transportation Network Protection Problems Using the Progressive Hedging-based Method," Networks and Spatial Economics, Springer, vol. 10(2), pages 193-208, June.
    8. Willems, Bert & Rumiantseva, Ina & Weigt, Hannes, 2009. "Cournot versus Supply Functions: What does the data tell us?," Energy Economics, Elsevier, vol. 31(1), pages 38-47, January.
    9. Jan Abrell & Friedrich Kunz, 2015. "Integrating Intermittent Renewable Wind Generation - A Stochastic Multi-Market Electricity Model for the European Electricity Market," Networks and Spatial Economics, Springer, vol. 15(1), pages 117-147, March.
    10. Nagurney, Anna, 2006. "On the relationship between supply chain and transportation network equilibria: A supernetwork equivalence with computations," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 42(4), pages 293-316, July.
    11. Hu, X. & Ralph, D. & Ralph, E.K. & Bardsley, P. & Ferris, M.C., 2004. "Electricity Generation with Looped Transmission Networks: Bidding to an ISO," Cambridge Working Papers in Economics 0470, Faculty of Economics, University of Cambridge.
    12. Liu, Zugang & Nagurney, Anna, 2011. "Supply chain outsourcing under exchange rate risk and competition," Omega, Elsevier, vol. 39(5), pages 539-549, October.
    13. Chen, Chien-Wei & Fan, Yueyue, 2012. "Bioethanol supply chain system planning under supply and demand uncertainties," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(1), pages 150-164.
    14. R. T. Rockafellar, 1976. "Augmented Lagrangians and Applications of the Proximal Point Algorithm in Convex Programming," Mathematics of Operations Research, INFORMS, vol. 1(2), pages 97-116, May.
    15. 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.
    16. Florian Leuthold & Hannes Weigt & Christian Hirschhausen, 2012. "A Large-Scale Spatial Optimization Model of the European Electricity Market," Networks and Spatial Economics, Springer, vol. 12(1), pages 75-107, March.
    17. John M. Mulvey & Hercules Vladimirou, 1992. "Stochastic Network Programming for Financial Planning Problems," Management Science, INFORMS, vol. 38(11), pages 1642-1664, November.
    18. Byung Chung & Tao Yao & Chi Xie & Andreas Thorsen, 2011. "Robust Optimization Model for a Dynamic Network Design Problem Under Demand Uncertainty," Networks and Spatial Economics, Springer, vol. 11(2), pages 371-389, June.
    19. Frederic H. Murphy & Yves Smeers, 2005. "Generation Capacity Expansion in Imperfectly Competitive Restructured Electricity Markets," Operations Research, INFORMS, vol. 53(4), pages 646-661, August.
    20. Bar-Gera, Hillel, 2010. "Traffic assignment by paired alternative segments," Transportation Research Part B: Methodological, Elsevier, vol. 44(8-9), pages 1022-1046, September.
    21. Hannes Weigt & Jan Abrell, 2012. "Storage and Investments in a Combined Energy Network Model," EcoMod2012 4319, EcoMod.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Dávid Csercsik & László Á. Kóczy, 2017. "Efficiency and Stability in Electrical Power Transmission Networks: a Partition Function Form Approach," Networks and Spatial Economics, Springer, vol. 17(4), pages 1161-1184, December.
    2. Xie, Fei & Huang, Yongxi, 2018. "A multistage stochastic programming model for a multi-period strategic expansion of biofuel supply chain under evolving uncertainties," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 111(C), pages 130-148.
    3. Yekini Shehu & Lulu Liu & Xiaolong Qin & Qiao-Li Dong, 2022. "Reflected Iterative Method for Non-Monotone Equilibrium Problems with Applications to Nash-Cournot Equilibrium Models," Networks and Spatial Economics, Springer, vol. 22(1), pages 153-180, March.
    4. Fan, Yueyue & Zhang, Yunteng, 2019. "Next-Generation Transit System Design During a Revolution of Shared Mobility," Institute of Transportation Studies, Working Paper Series qt77t6g3w4, Institute of Transportation Studies, UC Davis.
    5. Kerstin Dächert & Sauleh Siddiqui & Javier Saez-Gallego & Steven A. Gabriel & Juan Miguel Morales, 2019. "A Bicriteria Perspective on L-Penalty Approaches – a Corrigendum to Siddiqui and Gabriel’s L-Penalty Approach for Solving MPECs," Networks and Spatial Economics, Springer, vol. 19(4), pages 1199-1214, December.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Guo, Zhaomiao & Fan, Yueyue, 2017. "A Stochastic Multi-Agent Optimization Model for Energy Infrastructure Planning Under Uncertainty and Competition," Institute of Transportation Studies, Working Paper Series qt89s5s8hn, Institute of Transportation Studies, UC Davis.
    2. Yongxi (Eric) Huang & Yueyue Fan & Chien-Wei Chen, 2014. "An Integrated Biofuel Supply Chain to Cope with Feedstock Seasonality and Uncertainty," Transportation Science, INFORMS, vol. 48(4), pages 540-554, November.
    3. Jonas Egerer, 2016. "Open Source Electricity Model for Germany (ELMOD-DE)," Data Documentation 83, DIW Berlin, German Institute for Economic Research.
    4. Fan, Yingjie & Schwartz, Frank & Voß, Stefan, 2017. "Flexible supply chain planning based on variable transportation modes," International Journal of Production Economics, Elsevier, vol. 183(PC), pages 654-666.
    5. Pineau, Pierre-Olivier & Rasata, Hasina & Zaccour, Georges, 2011. "Impact of some parameters on investments in oligopolistic electricity markets," European Journal of Operational Research, Elsevier, vol. 213(1), pages 180-195, August.
    6. Jan Abrell & Hannes Weigt, 2016. "Investments in a Combined Energy Network Model: Substitution between Natural Gas and Electricity?," The Energy Journal, , vol. 37(4), pages 63-86, October.
    7. Pineda, Salvador & Boomsma, Trine K. & Wogrin, Sonja, 2018. "Renewable generation expansion under different support schemes: A stochastic equilibrium approach," European Journal of Operational Research, Elsevier, vol. 266(3), pages 1086-1099.
    8. Fan, Yueyue & Huang, Yongxi & Chen, Chien-Wei, 2012. "Multistage Infrastructure System Design: An Integrated Biofuel Supply Chain against Feedstock Seasonality and Uncertainty," Institute of Transportation Studies, Working Paper Series qt9g8413m5, Institute of Transportation Studies, UC Davis.
    9. Helga Habis & Dávid Csercsik, 2015. "Cooperation with Externalities and Uncertainty," Networks and Spatial Economics, Springer, vol. 15(1), pages 1-16, March.
    10. Genc, Talat S. & Thille, Henry, 2011. "Investment in electricity markets with asymmetric technologies," Energy Economics, Elsevier, vol. 33(3), pages 379-387, May.
    11. Huang, Yongxi & Chen, Yihsu, 2014. "Analysis of an imperfectly competitive cellulosic biofuel supply chain," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 72(C), pages 1-14.
    12. David P. Brown & David E. M. Sappington, 2022. "Vertical integration and capacity investment in the electricity sector," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 31(1), pages 193-226, February.
    13. Brown, David P. & Eckert, Andrew & Silveira, Douglas, 2023. "Screening for collusion in wholesale electricity markets: A literature review," Utilities Policy, Elsevier, vol. 85(C).
    14. Chen, Chien-Wei & Fan, Yueyue, 2012. "Bioethanol supply chain system planning under supply and demand uncertainties," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(1), pages 150-164.
    15. Alexander Zerrahn & Daniel Huppmann, 2017. "Network Expansion to Mitigate Market Power," Networks and Spatial Economics, Springer, vol. 17(2), pages 611-644, June.
    16. Sakellaris, Kostis, 2010. "Modeling Electricity Markets as Two-Stage Capacity Constrained Price Competition Games under Uncertainty," MPRA Paper 23317, University Library of Munich, Germany.
    17. Jan Abrell & Clemens Gerbaulet & Franziska Holz & Casimir Lorenz & Hannes Weigt, 2013. "Combining Energy Networks: The Impact of Europe's Natural Gas Network on Electricity Markets until 2050," Discussion Papers of DIW Berlin 1317, DIW Berlin, German Institute for Economic Research.
    18. Jan Abrell & Friedrich Kunz, 2015. "Integrating Intermittent Renewable Wind Generation - A Stochastic Multi-Market Electricity Model for the European Electricity Market," Networks and Spatial Economics, Springer, vol. 15(1), pages 117-147, March.
    19. Filomena, Tiago Pascoal & Campos-Náñez, Enrique & Duffey, Michael Robert, 2014. "Technology selection and capacity investment under uncertainty," European Journal of Operational Research, Elsevier, vol. 232(1), pages 125-136.
    20. Haikel Khalfallah & Vincent Rious, 2013. "A game theoretical analysis of the design options of the real-time electricity market," Post-Print halshs-00816355, HAL.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:kap:netspa:v:17:y:2017:i:2:d:10.1007_s11067-016-9336-8. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.