IDEAS home Printed from https://ideas.repec.org/p/bie/wpaper/675.html
   My bibliography  Save this paper

A Principal-Agent Framework for Optimal Incentives in Renewable Investments

Author

Listed:
  • Aïd, René

    (Center for Mathematical Economics, Bielefeld University)

  • Kemper, Annika

    (Center for Mathematical Economics, Bielefeld University)

  • Touzi, Nizar

    (Center for Mathematical Economics, Bielefeld University)

Abstract

We investigate the optimal regulation of energy production reflecting the long-term goals of the Paris Climate Agreement. We analyze the optimal regulatory incentives to foster the development of non-emissive electricity generation when the demand for power is served either by a monopoly or by two competing agents. The regulator wishes to encourage green investments to limit carbon emissions, while simultaneously reducing intermittency of the total energy production. We find that the regulation of a competitive market is more efficient than the one of the monopoly as measured with the certainty equivalent of the Principal’s value function. This higher efficiency is achieved thanks to a higher degree of freedom of the incentive mechanisms which involves cross-subsidies between firms. A numerical study quantifies the impact of the designed second-best contract in both market structures compared to the business-as-usual scenario. In addition, we expand the monopolistic and competitive setup to a more general class of tractable Principal-Multi-Agent incentives problems when both the drift and the volatility of a multi-dimensional diffusion process can be controlled by the Agents. We follow the resolution methodology of Cvitanić et al. (2018) in an extended linear quadratic setting with exponential utilities and a multi-dimensional state process of Ornstein-Uhlenbeck type. We provide closed-form expression of the second-best contracts. In particular, we show that they are in rebate form involving time-dependent prices of each state-variable.

Suggested Citation

  • Aïd, René & Kemper, Annika & Touzi, Nizar, 2023. "A Principal-Agent Framework for Optimal Incentives in Renewable Investments," Center for Mathematical Economics Working Papers 675, Center for Mathematical Economics, Bielefeld University.
    • Handle: RePEc:bie:wpaper:675
    as

    Download full text from publisher

    File URL: https://pub.uni-bielefeld.de/download/2969415/2969416
    File Function: First Version, 2023
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Hirth, Lion, 2013. "The market value of variable renewables," Energy Economics, Elsevier, vol. 38(C), pages 218-236.
    2. René Aïd & Dylan Possamaï & Nizar Touzi, 2022. "Optimal Electricity Demand Response Contracting with Responsiveness Incentives," Post-Print hal-03670395, HAL.
    3. Lion Hirth, 2013. "The Market Value of Variable Renewables. The Effect of Solar and Wind Power Variability on their Relative Price," RSCAS Working Papers 2013/36, European University Institute.
    Full references (including those not matched with items on IDEAS)

    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. Ren'e Aid & Annika Kemper & Nizar Touzi, 2023. "A Principal-Agent Framework for Optimal Incentives in Renewable Investments," Papers 2302.12167, arXiv.org.
    2. Keppler, Jan Horst & Quemin, Simon & Saguan, Marcelo, 2022. "Why the sustainable provision of low-carbon electricity needs hybrid markets," Energy Policy, Elsevier, vol. 171(C).
    3. Christoph Wolter & Henrik Klinge Jacobsen & Lorenzo Zeni & Georgios Rogdakis & Nicolaos A. Cutululis, 2020. "Overplanting in offshore wind power plants in different regulatory regimes," Wiley Interdisciplinary Reviews: Energy and Environment, Wiley Blackwell, vol. 9(3), May.
    4. Csereklyei, Zsuzsanna & Qu, Songze & Ancev, Tihomir, 2019. "The effect of wind and solar power generation on wholesale electricity prices in Australia," Energy Policy, Elsevier, vol. 131(C), pages 358-369.
    5. Simshauser, P., 2019. "On the impact of government-initiated CfD’s in Australia’s National Electricity Market," Cambridge Working Papers in Economics 1901, Faculty of Economics, University of Cambridge.
    6. Wang, Jingxing & Chung, Seokhyun & AlShelahi, Abdullah & Kontar, Raed & Byon, Eunshin & Saigal, Romesh, 2021. "Look-ahead decision making for renewable energy: A dynamic “predict and store” approach," Applied Energy, Elsevier, vol. 296(C).
    7. Thao Pham & Killian Lemoine, 2020. "Impacts of subsidized renewable electricity generation on spot market prices in Germany : Evidence from a GARCH model with panel data," Working Papers hal-02568268, HAL.
    8. Curtis, John & Lynch, Muireann Á. & Zubiate, Laura, 2016. "The impact of the North Atlantic Oscillation on electricity markets: A case study on Ireland," Energy Economics, Elsevier, vol. 58(C), pages 186-198.
    9. Wilkinson, Sam & Maticka, Martin J. & Liu, Yue & John, Michele, 2021. "The duck curve in a drying pond: The impact of rooftop PV on the Western Australian electricity market transition," Utilities Policy, Elsevier, vol. 71(C).
    10. Christopher Kath & Florian Ziel, 2018. "The value of forecasts: Quantifying the economic gains of accurate quarter-hourly electricity price forecasts," Papers 1811.08604, arXiv.org.
    11. Klie, Leo & Madlener, Reinhard, 2022. "Optimal configuration and diversification of wind turbines: A hybrid approach to improve the penetration of wind power," Energy Economics, Elsevier, vol. 105(C).
    12. James H. Merrick & John E. T. Bistline & Geoffrey J. Blanford, 2021. "On representation of energy storage in electricity planning models," Papers 2105.03707, arXiv.org, revised May 2021.
    13. Mwampashi, Muthe Mathias & Nikitopoulos, Christina Sklibosios & Konstandatos, Otto & Rai, Alan, 2021. "Wind generation and the dynamics of electricity prices in Australia," Energy Economics, Elsevier, vol. 103(C).
    14. Griffiths, Steven, 2017. "A review and assessment of energy policy in the Middle East and North Africa region," Energy Policy, Elsevier, vol. 102(C), pages 249-269.
    15. Winkler, Jenny & Gaio, Alberto & Pfluger, Benjamin & Ragwitz, Mario, 2016. "Impact of renewables on electricity markets – Do support schemes matter?," Energy Policy, Elsevier, vol. 93(C), pages 157-167.
    16. René Aïd & Matteo Basei & Huyên Pham, 2020. "A McKean–Vlasov approach to distributed electricity generation development," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 91(2), pages 269-310, April.
    17. Luis M. Abadie & José M. Chamorro, 2014. "Valuation of Wind Energy Projects: A Real Options Approach," Energies, MDPI, vol. 7(5), pages 1-38, May.
    18. Paul Simshauser & Farhad Billimoria & Craig Rogers, 2021. "Optimising VRE plant capacity in Renewable Energy Zones," Working Papers EPRG2121, Energy Policy Research Group, Cambridge Judge Business School, University of Cambridge.
    19. Auer, Benjamin R., 2016. "How does Germany's green energy policy affect electricity market volatility? An application of conditional autoregressive range models," Energy Policy, Elsevier, vol. 98(C), pages 621-628.
    20. Simshauser, Paul, 2022. "Rooftop solar PV and the peak load problem in the NEM's Queensland region," Energy Economics, Elsevier, vol. 109(C).

    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:bie:wpaper:675. 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: Bettina Weingarten (email available below). General contact details of provider: https://edirc.repec.org/data/imbiede.html .

    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.