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A Time-Based Pricing Game Considering Echelon Utilization in the Battery Leasing Market

  • Junhai Ma ORCID logo , Xue Ding , Li Zhao EMAIL logo and Xiaoyan Wang
Published/Copyright: March 26, 2025
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Abstract

At present, many electric vehicle (EV) companies consider the adoption of a battery leasing model as part of their sales strategy, addressing the issue of higher prices for energy vehicles (EVs) compared to internal combustion engine vehicles (ICEVs) of the same level. In order to enhance the development of the battery leasing model in the EV market, this research explores pricing strategies within the battery supply chain operating under the “battery leasing + echelon utilization” model. Both a Stackelberg and a dynamic system model are proposed with the consideration of echelon utilization. We investigate how the echelon utilization rate, battery quality, and recycling price influence pricing decisions for both battery manufacturers and EV companies. These insights offer guidance for these entities in formulating appropriate pricing strategies. Introducing a long-term repeated game model, we analyze system stability and chaos conditions, the finding from the dynamic model discloses how different behaviors impact the long-term profitability of all parties involved. Furthermore, we propose a chaos control method. Our findings provide valuable managerial insights for battery manufacturers and EV companies.

JEL Classification: B52; C02; C15; C35; C61; C7

Corresponding author: Li Zhao, School of Business, Shandong Jianzhu University, Jinan, 250101, China, E-mail: 

References

Agrawal, V. V., and I. Bellos. 2017. “The Potential of Servicizing as a Green Business Model.” Management Science 63 (5): 1545–62. https://doi.org/10.1287/mnsc.2015.2399.Search in Google Scholar

Bai, Q., J. Xu, and Y. Zhang. 2018. “Emission Reduction Decision and Coordination of a Make-To-Order Supply Chain with Two Products under Cap-And-Trade Regulation.” Computers and Industrial Engineering 119: 131–45. https://doi.org/10.1016/j.cie.2018.03.032.Search in Google Scholar

Bourjade, S., and C. Muller-Vibes. 2023. “Optimal Leasing and Airlines’ Cost Efficiency: A Stochastic Frontier Analysis.” Transportation Research Part A: Policy and Practice 176: 103804. https://doi.org/10.1016/j.tra.2023.103804.Search in Google Scholar

Chandra, A., S. Gulati, and M. Kandlikar. 2010. “Green Drivers or Free Riders? An Analysis of Tax Rebates for Hybrid Vehicles.” Journal of Environmental Economics and Management 60: 78–93. https://doi.org/10.1016/j.jeem.2010.04.003.Search in Google Scholar

Diamond, D. 2009. “The Impact of Government Incentives for Hybrid Electric Vehicles: Evidence from US States.” Energy Policy 37: 972–83. https://doi.org/10.1016/j.enpol.2008.09.094.Search in Google Scholar

Dou, Y., Y. J. Hu, and D. J. Wu. 2017. “Selling or Leasing? Pricing Information Goods with Depreciation of Consumer Valuation.” Information Systems Research 28 (3): 585–602. https://doi.org/10.1287/isre.2017.0698.Search in Google Scholar

Egbue, O., and S. Long. 2012. “Barriers to Widespread Adoption of Electric Vehicles: An Analysis of Consumer Attitudes and Perceptions.” Energy Policy 48: 717–29. https://doi.org/10.1016/j.enpol.2012.06.009.Search in Google Scholar

Gilbert, S. M., R. S. Randhawa, and H. Sun. 2014. “Optimal Per-Use Rentals and Sales of Durable Products and Their Distinct Roles in Price Discrimination.” Production and Operations Management 23 (3): 393–404. https://doi.org/10.1111/poms.12050.Search in Google Scholar

Gu, X., P. Ieromonachou, L. Zhou, and M. L. Tseng. 2018a. “Optimising Quantity of Manufacturing and Remanufacturing in an Electric Vehicle Battery Closed-Loop Supply Chain.” Industrial Management & Data Systems 118 (1): 283–302. https://doi.org/10.1108/imds-04-2017-0132.Search in Google Scholar

Gu, X., P. Ieromonachou, L. Zhou, and M. L. Tseng. 2018b. “Developing Pricing Strategy to Optimise Total Profits in an Electric Vehicle Battery Closed Loop Supply Chain.” Journal of Cleaner Production 203: 376–85. https://doi.org/10.1016/j.jclepro.2018.08.209.Search in Google Scholar

Gu, X., L. Zhou, H. Huang, X. Shi, and P. Ieromonachou. 2021. “Electric Vehicle Battery Secondary Use under Government Subsidy: A Closed-Loop Supply Chain Perspective.” International Journal of Production Economics: 108035. https://doi.org/10.1016/j.ijpe.2021.108035.Search in Google Scholar

Huang, Y., L. Qian, D. Soopramanien, and D. Tyfield. 2021. “Buy, Lease, or Share? Consumer Preferences for Innovative Business Models in the Market for Electric Vehicles.” Technological Forecasting and Social Change 166: 120639. https://doi.org/10.1016/j.techfore.2021.120639.Search in Google Scholar

Hui, Y., Z. Jiang, and C. Ran. 2022. “Research of Passenger Vehicles in Battery Rental Model Based on Mathematical Model.” In 2022 IEEE International Conference on Electrical Engineering, Big Data and Algorithms, 815–8.10.1109/EEBDA53927.2022.9744790Search in Google Scholar

Larsen, E. R., J. D. W. Morecroft, and J. S. Thomsen. 1999. “Complex Behaviour in a Production-Distribution Model.” European Journal of Operational Research 119 (1): 61–74. https://doi.org/10.1016/s0377-2217(98)90349-6.Search in Google Scholar

Letmathe, P., and M. Suares. 2017. “A Consumer-Oriented Total Cost of Ownership Model for Different Vehicle Types in Germany.” Transportation Research Part D: Transport and Environment 57: 314–35. https://doi.org/10.1016/j.trd.2017.09.007.Search in Google Scholar

Li, Z., and M. Ouyang. 2011. “A Win-Win Marginal Rent Analysis for Operator and Consumer Under Battery Leasing Mode in China Electric Vehicle Market.” Energy Policy 39 (6): 3222–37. https://doi.org/10.1016/j.enpol.2011.03.014.Search in Google Scholar

Liao, F., E. Molin, H. Timmermans, and B. van Wee. 2018. “The Impact of Business Models on Electric Vehicle Adoption: A Latent Transition Analysis Approach.” Transportation Research Part A: Policy and Practice 116: 531–46. https://doi.org/10.1016/j.tra.2018.07.008.Search in Google Scholar

Liao, F., E. Molin, H. Timmermans, and B. V. Wee. 2019. “Consumer Preferences for Business Models in Electric Vehicle Adoption.” Transportation Policy 73: 12–24. https://doi.org/10.1016/j.tranpol.2018.10.006.Search in Google Scholar

Lim, M., H. Mak, and Y. Rong. 2015. “Toward Mass Adoption of Electric Vehicles: Impact of the Range and Resale Anxieties.” Manufacturing & Service Operations Management 17 (1): 101–19. https://doi.org/10.1287/msom.2014.0504.Search in Google Scholar

Lin, L., D. Fadwa, and Z. Jing. 2018. “Cost-Effective Supply Chain for Electric Vehicle Battery Remanufacturing.” Applied Energy 226: 277–86. https://doi.org/10.1016/j.apenergy.2018.05.115.Search in Google Scholar

Liu, J., B. Mantin, and X. Song. 2022. “Rent, Sell, and Remanufacture: The Manufacturer’s Choice when Remanufacturing Can Be Outsourced.” European Journal of Operational Research 303 (1): 184–200. https://doi.org/10.1016/j.ejor.2022.02.018.Search in Google Scholar

Lou, W., and J. Ma. 2018. “Complexity of Sales Effort and Carbon Emission Reduction Effort in a Two-Parallel Household Appliance Supply Chain Model.” Applied Mathematical Modelling 64: 398–425. https://doi.org/10.1016/j.apm.2018.07.042.Search in Google Scholar

Lu, Z., Y. Yao, and C. Lu. 2022. “Study on Pricing Strategy of New Energy Electric Vehicle Battery Swapping Mode under Differential Supply Chain Structure.” Systems Engineering 40 (2): 27–37.Search in Google Scholar

Ma, J., Y. Hou, W. Yang, and Y. Tian. 2020. “A Time-Based Pricing Game in a Competitive Vehicle Market Regarding the Intervention of Carbon Emission Reduction.” Energy Policy 142: 111440. https://doi.org/10.1016/j.enpol.2020.111440.Search in Google Scholar

Ma, J., Y. Hou, Z. Wang, and W. Yang. 2021. “Pricing Strategy and Coordination of Automobile Manufacturers Based on Government Intervention and Carbon Emission Reduction.” Energy Policy 148: 111919. https://doi.org/10.1016/j.enpol.2020.111919.Search in Google Scholar

Ma, J., F. Si, Q. Zhang, and J. Hui. 2022. “Evolution Delayed Decision Game Based on Carbon Emission and Capacity Sharing in the Chinese Market.” International Journal of Production Research 61 (20): 6675–90. https://doi.org/10.1080/00207543.2022.2099320.Search in Google Scholar

Ma, J., F. Si, Q. Zhang, and Z. Wang. 2024. “Impact of Extended Warranty Service on Product Pricing in Online Direct Retailers’ Competitive Market.” Energy Economics 129 (1): 107217. https://doi.org/10.1016/j.eneco.2023.107217.Search in Google Scholar

Sato, K., and K. Nakashima. 2020. “Optimal Pricing Problem for a Pay-Per-Use System Based on the Internet of Things with Intertemporal Demand.” International Journal of Production Economics 221: 107477. https://doi.org/10.1016/j.ijpe.2019.08.012.Search in Google Scholar

Schneider, F., U. W. Thonemann, and D. Klabjan. 2018. “Optimization of Battery Charging and Purchasing at Electric Vehicle Battery Swap Stations.” Transportation Science 52 (5): 1211–34. https://doi.org/10.1287/trsc.2017.0781.Search in Google Scholar

Shi, L., S. P. Sethi, and M. Çakanyıldırım. 2022. “Promoting Electric Vehicles: Reducing Charging Inconvenience and Price via Station and Consumer Subsidies.” Production and Operations Management 31 (12): 4333–50. https://doi.org/10.1111/poms.13871.Search in Google Scholar

Sun, B., X. Sun, D. H. K. Tsang, and W. Whitt. 2019. “Optimal Battery Purchasing and Charging Strategy at Electric Vehicle Battery Swap Stations.” European Journal of Operational Research 279 (2): 524–39. https://doi.org/10.1016/j.ejor.2019.06.019.Search in Google Scholar

Tang, Y., Q. Zhang, Y. Li, G. Wang, and Y. Li. 2018. “Recycling Mechanisms and Policy Suggestions for Spent Electric Vehicles’ Power Battery – A Case of Beijing.” Journal of Cleaner Production 186: 388–406. https://doi.org/10.1016/j.jclepro.2018.03.043.Search in Google Scholar

Tian, Y., J. Ma, Z. Wang, and L. Xie. 2021. “Complexity and Control of Multichannel Supply Chain under Carbon Tax Policy.” International Journal of Bifurcation and Chaos 31 (6): 2150092. https://doi.org/10.1142/s0218127421500929.Search in Google Scholar

Tian, Y., L. Zhao, and M. Zhu. 2022. “Dynamic Game of the Dual-Channel Supply Chain Under a Carbon Subsidy Policy.” International Journal of Bifurcation and Chaos 32 (15): 2250223. https://doi.org/10.1142/s0218127422502236.Search in Google Scholar

Wang, Z., and X. Wang. 2011. “Notice of Retraction: Tentative Analysis of Battery Rental Model of Electric Sedan.” In 2011 International Conference on Business Management and Electronic Information, 421–3.10.1109/ICBMEI.2011.5914876Search in Google Scholar

Widrick, R. S., S. G. Nurre, and M. J. Robbins. 2018. “Optimal Policies for the Management of an Electric Vehicle Battery Swap Station.” Transportation Science 52 (1): 59–79. https://doi.org/10.1287/trsc.2016.0676.Search in Google Scholar

Wu, T., G. Pang, K. Choy, and H. Lam. 2015. “An Optimization Model for a Battery Swapping Station in Hong Kong.” In Transportation Electrification Conference and Expo, 1–6.10.1109/ITEC.2015.7165769Search in Google Scholar

Xiao, J., C. Jiang, and B. Wang. 2023. “A Review on Dynamic Recycling of Electric Vehicle Battery: Disassembly and Echelon Utilization.” Batteries 9: 57. https://doi.org/10.3390/batteries9010057.Search in Google Scholar

Xie, L., J. Ma, and M. Goh. 2021. “Supply Chain Coordination in the Presence of Uncertain Yield and Demand.” International Journal of Production Research 59 (14): 4342–58. https://doi.org/10.1080/00207543.2020.1762942.Search in Google Scholar

Yang, S., R. Li, and J. Li. 2020. ““Separation of Vehicle and Battery” of Private Electric Vehicles and Customer Delivered Value: Based on the Attempt of 2 Chinese EV Companies.” Sustainability 12: 2042. https://doi.org/10.3390/su12052042.Search in Google Scholar

Yu, Y., Y. Dong, and X. Guo. 2018. “Pricing for Sales and Per-Use Rental Services with Vertical Differentiation.” European Journal of Operational Research 270: 586–98. https://doi.org/10.1016/j.ejor.2018.03.035.Search in Google Scholar

Yu, J., C. Tang, M. Li, and Z. Shen. 2022. “Coordinating Installation of Electric Vehicle Charging Stations between Governments and Automakers.” Production and Operations Management 31 (2). https://doi.org/10.1111/poms.13564.Search in Google Scholar

Zhang, T., X. Chen, Z. Yu, X. Zhu, and D. Shi. 2018. “A Monte Carlo Simulation Approach to Evaluate Service Capacities of EV Charging and Battery Swapping Stations.” IEEE Transactions on Industrial Informatics 14 (9): 3914–23. https://doi.org/10.1109/tii.2018.2796498.Search in Google Scholar

Zhang, H., J. Huang, R. Hu, D. Zhou, H. R. Khan, and C. Ma. 2020. “Echelon Utilization of Waste Power Batteries in New Energy Vehicles: Review of Chinese Policies.” Energy 206: 118178. https://doi.org/10.1016/j.energy.2020.118178.Search in Google Scholar

Zhang, F., S. Yao, X. Zeng, P. Yang, Z. Zhao, C. Lai, and L. Lai. 2021. “Operation Strategy for Electric Vehicle Battery Swap Station Cluster Participating in Frequency Regulation Service.” Peocesses 9 (9). https://doi.org/10.3390/pr9091513.Search in Google Scholar

Zhang, C., H. Li, and Y. Tian. 2023a. “Manufacturer’s Carbon Abatement Strategy and Selection of Spent Power Battery Collecting Mode Based on Echelon Utilization and Cap-And-Trade Policy.” Computers & Industrial Engineering 177: 109079. https://doi.org/10.1016/j.cie.2023.109079.Search in Google Scholar

Zhang, P., L. Shi, L. Shao, and Y. Liu. 2023b. “When Can a Manufacturer Benefit from Adding a Direct Sharing Channel?” European Journal of Operational Research 309 (1): 371–86. https://doi.org/10.1016/j.ejor.2022.12.023.Search in Google Scholar

Zhao, S., and C. Ma. 2022. “Research on the Coordination of the Power Battery Echelon Utilization Supply Chain Considering Recycling Outsourcing.” Journal of Cleaner Production 358: 131922. https://doi.org/10.1016/j.jclepro.2022.131922.Search in Google Scholar

Zhou, B., and F. Tan. 2018. “Electric Vehicle Handling Routing and Battery Swap Station Location Optimisation for Automotive Assembly Lines.” International Journal of Computer Integrated Manufacturing 31 (10): 978–91. https://doi.org/10.1080/0951192x.2018.1493229.Search in Google Scholar

Received: 2024-04-02
Accepted: 2025-02-07
Published Online: 2025-03-26

© 2025 Walter de Gruyter GmbH, Berlin/Boston

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