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Pricing and Electric Vehicle Charging Equilibria

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  • Trivikram Dokka
  • Jorge Bruno
  • Sonali SenGupta
  • Chowdhury Mohammad Sakib Anwar

Abstract

We study equilibria in an Electric Vehicle (EV) charging game, a cost minimization game inherent to decentralized charging control strategy for EV power demand management. In our model, each user optimizes its total cost which is sum of direct power cost and the indirect dissatisfaction cost. We show that, taking player specific price independent dissatisfaction cost in to account, contrary to popular belief, herding only happens at lower EV uptake. Moreover, this is true for both linear and logistic dissatisfaction functions. We study the question of existence of price profiles to induce a desired equilibrium. We define two types of equilibria, distributed and non-distributed equilibria, and show that under logistic dissatisfaction, only non-distributed equilibria are possible by feasibly setting prices. In linear case, both type of equilibria are possible but price discrimination is necessary to induce distributed equilibria. Finally, we show that in the case of symmetric EV users, mediation cannot improve upon Nash equilibria.

Suggested Citation

  • Trivikram Dokka & Jorge Bruno & Sonali SenGupta & Chowdhury Mohammad Sakib Anwar, 2022. "Pricing and Electric Vehicle Charging Equilibria," Papers 2210.15035, arXiv.org, revised Dec 2022.
    • Handle: RePEc:arx:papers:2210.15035
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    References listed on IDEAS

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    1. Shen, Zuo-Jun Max & Feng, Bo & Mao, Chao & Ran, Lun, 2019. "Optimization models for electric vehicle service operations: A literature review," Transportation Research Part B: Methodological, Elsevier, vol. 128(C), pages 462-477.
    2. Jacobsen, Grant D. & Stewart, James I., 2022. "How do consumers respond to price complexity? Experimental evidence from the power sector," Journal of Environmental Economics and Management, Elsevier, vol. 116(C).
    3. Mark M. Nejad & Lena Mashayekhy & Ratna Babu Chinnam & Daniel Grosu, 2017. "Online scheduling and pricing for electric vehicle charging," IISE Transactions, Taylor & Francis Journals, vol. 49(2), pages 178-193, February.
    4. Aumann, Robert J, 1987. "Correlated Equilibrium as an Expression of Bayesian Rationality," Econometrica, Econometric Society, vol. 55(1), pages 1-18, January.
    5. MOULIN, Hervé & VIAL, Jean-Philippe, 1978. "Strategically zero-sum games: the class of games whose completely mixed equilibria connot be improved upon," LIDAM Reprints CORE 359, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    6. Matteo Muratori, 2018. "Impact of uncoordinated plug-in electric vehicle charging on residential power demand," Nature Energy, Nature, vol. 3(3), pages 193-201, March.
    7. Konstantina Valogianni & Wolfgang Ketter & John Collins & Dmitry Zhdanov, 2020. "Sustainable Electric Vehicle Charging using Adaptive Pricing," Production and Operations Management, Production and Operations Management Society, vol. 29(6), pages 1550-1572, June.
    8. Moulin, Herve & Ray, Indrajit & Sen Gupta, Sonali, 2014. "Improving Nash by coarse correlation," Journal of Economic Theory, Elsevier, vol. 150(C), pages 852-865.
    9. Arifovic, Jasmina & Boitnott, Joshua F. & Duffy, John, 2019. "Learning correlated equilibria: An evolutionary approach," Journal of Economic Behavior & Organization, Elsevier, vol. 157(C), pages 171-190.
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