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Prudent Price-Responsive Demands

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  • Liudong Chen
  • Bolun Xu

Abstract

We investigate a flexible demand with a risk-neutral cost-saving objective in response to volatile electricity prices. We introduce the concept of prudent demand, which states that future price uncertainties will affect immediate consumption patterns, despite the price expectations remaining unchanged. We develop a theoretical framework and prove that demand exhibits prudence when the third-order derivative of its utility cost function is positive, and show a prudent demand demonstrates risk-averse behaviors despite the objective being risk-neutral. . Prudent demands exhibit skewness aversion, with increased price skewness elevating the cost associated with prudence. We validate our theoretical findings through numerical simulations and conclude their implications for demand response modeling and the future design of incentive-based demand response mechanisms.

Suggested Citation

  • Liudong Chen & Bolun Xu, 2024. "Prudent Price-Responsive Demands," Papers 2405.16356, arXiv.org.
    • Handle: RePEc:arx:papers:2405.16356
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    References listed on IDEAS

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    1. Kimball, Miles S, 1990. "Precautionary Saving in the Small and in the Large," Econometrica, Econometric Society, vol. 58(1), pages 53-73, January.
    2. Menegatti, Mario, 2009. "Optimal prevention and prudence in a two-period model," Mathematical Social Sciences, Elsevier, vol. 58(3), pages 393-397, November.
    3. Tang, Rui & Wang, Shengwei, 2019. "Model predictive control for thermal energy storage and thermal comfort optimization of building demand response in smart grids," Applied Energy, Elsevier, vol. 242(C), pages 873-882.
    4. Morales-España, Germán & Martínez-Gordón, Rafael & Sijm, Jos, 2022. "Classifying and modelling demand response in power systems," Energy, Elsevier, vol. 242(C).
    5. Vázquez-Canteli, José R. & Nagy, Zoltán, 2019. "Reinforcement learning for demand response: A review of algorithms and modeling techniques," Applied Energy, Elsevier, vol. 235(C), pages 1072-1089.
    6. Eeckhoudt, Louis & Fiori, Anna Maria & Rosazza Gianin, Emanuela, 2016. "Loss-averse preferences and portfolio choices: An extension," European Journal of Operational Research, Elsevier, vol. 249(1), pages 224-230.
    7. Menegatti, Mario, 2015. "New results on high-order risk changes," European Journal of Operational Research, Elsevier, vol. 243(2), pages 678-681.
    8. Khan, Hafiz Anwar Ullah & Ünel, Burçin & Dvorkin, Yury, 2023. "Electricity Tariff Design via Lens of Energy Justice," Omega, Elsevier, vol. 117(C).
    9. Louis Eeckhoudt & Harris Schlesinger, 2006. "Putting Risk in Its Proper Place," American Economic Review, American Economic Association, vol. 96(1), pages 280-289, March.
    10. Mayrhofer, Thomas & Schmitz, Hendrik, 2020. "Prudence and prevention: Empirical evidence," Ruhr Economic Papers 863, RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen.
    11. Sebastian Ebert & Daniel Wiesen, 2011. "Testing for Prudence and Skewness Seeking," Management Science, INFORMS, vol. 57(7), pages 1334-1349, July.
    12. Peter, Richard, 2017. "Optimal self-protection in two periods: On the role of endogenous saving," Journal of Economic Behavior & Organization, Elsevier, vol. 137(C), pages 19-36.
    13. Lu Li & Richard Peter, 2021. "Should we do more when we know less? The effect of technology risk on optimal effort," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 88(3), pages 695-725, September.
    14. Sebastian Ebert & Daniel Wiesen, 2014. "Joint measurement of risk aversion, prudence, and temperance," Journal of Risk and Uncertainty, Springer, vol. 48(3), pages 231-252, June.
    15. Loïc Berger, 2016. "The impact of ambiguity and prudence on prevention decisions," Theory and Decision, Springer, vol. 80(3), pages 389-409, March.
    16. Menegatti, Mario, 2014. "New results on the relationship among risk aversion, prudence and temperance," European Journal of Operational Research, Elsevier, vol. 232(3), pages 613-617.
    17. Reichel, Lukas & Schmeiser, Hato & Schreiber, Florian, 2021. "Sometimes more, sometimes less: Prudence and the diversification of risky insurance coverage," European Journal of Operational Research, Elsevier, vol. 292(2), pages 770-783.
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