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The Optimal Mechanism Design of Retail Prices in the Electricity Market for Several Types of Consumers

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  • Natalia Aizenberg

    (Department of Electric Power System, Melentiev Energy Systems Institute SB RAS, 664033 Irkutsk, Russia
    Current address: Lermontov st., 130 Irkutsk, Russia.)

  • Nikolai Voropai

    (Department of Electric Power System, Melentiev Energy Systems Institute SB RAS, 664033 Irkutsk, Russia
    Current address: Lermontov st., 130 Irkutsk, Russia.)

Abstract

In this paper, we discuss the demand side management (DSM) problem: how to incentivize a consumer to equalize the load during the day through price-dependent demand. Traditionally, the retail market offers several electricity payment schemes. A scheme is effective when the different tariffs satisfy different consumers. At the same time, the existing and generally accepted retail pricing schemes can lead to an "adverse selection" problem when all consumers choose the same price, thereby, reducing the possible general welfare. We propose an optimal design of pricing mechanisms, taking into account the interests of the electricity supplier and different types of consumers. The results of our work are that the optimal mechanism is implemented simultaneously for several periods, including the case when the ratio of types of consumers in periods changes. In addition, the mechanism proposed by us, in contrast to the studies of other researchers, provides an equilibrium close to the socially optimal maximum. We describe the implementation algorithm of the mechanism and provide examples of its action in the electric power system with different types and numbers of consumers.

Suggested Citation

  • Natalia Aizenberg & Nikolai Voropai, 2021. "The Optimal Mechanism Design of Retail Prices in the Electricity Market for Several Types of Consumers," Mathematics, MDPI, vol. 9(10), pages 1-25, May.
  • Handle: RePEc:gam:jmathe:v:9:y:2021:i:10:p:1147-:d:557705
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    References listed on IDEAS

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    1. Qiu, Yueming & Colson, Gregory & Wetzstein, Michael E., 2017. "Risk preference and adverse selection for participation in time-of-use electricity pricing programs," Resource and Energy Economics, Elsevier, vol. 47(C), pages 126-142.
    2. Meyabadi, A. Fattahi & Deihimi, M.H., 2017. "A review of demand-side management: Reconsidering theoretical framework," Renewable and Sustainable Energy Reviews, Elsevier, vol. 80(C), pages 367-379.
    3. Alasseri, Rajeev & Tripathi, Ashish & Joji Rao, T. & Sreekanth, K.J., 2017. "A review on implementation strategies for demand side management (DSM) in Kuwait through incentive-based demand response programs," Renewable and Sustainable Energy Reviews, Elsevier, vol. 77(C), pages 617-635.
    4. Ingo Vogelsang & Jorg Finsinger, 1979. "A Regulatory Adjustment Process for Optimal Pricing by Multiproduct Monopoly Firms," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 157-171, Spring.
    5. Breukers, S.C. & Heiskanen, E. & Brohmann, B. & Mourik, R.M. & Feenstra, C.F.J., 2011. "Connecting research to practice to improve energy demand-side management (DSM)," Energy, Elsevier, vol. 36(4), pages 2176-2185.
    6. Chen, Yue & Wei, Wei & Liu, Feng & Shafie-khah, Miadreza & Mei, Shengwei & Catalão, João P.S., 2018. "Optimal contracts of energy mix in a retail market under asymmetric information," Energy, Elsevier, vol. 165(PB), pages 634-650.
    7. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    8. Weber, Thomas A., 2011. "Optimal Control Theory with Applications in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262015730, April.
    9. Eric Maskin & John Riley, 1984. "Monopoly with Incomplete Information," RAND Journal of Economics, The RAND Corporation, vol. 15(2), pages 171-196, Summer.
    10. Spulber, Daniel F, 1993. "Monopoly Pricing of Capacity Usage under Asymmetric Information," Journal of Industrial Economics, Wiley Blackwell, vol. 41(3), pages 241-257, September.
    11. Cremer, Jacques & McLean, Richard P, 1988. "Full Extraction of the Surplus in Bayesian and Dominant Strategy Auctions," Econometrica, Econometric Society, vol. 56(6), pages 1247-1257, November.
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