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Optimal pricing of customized bus services and ride-sharing based on a competitive game model

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  • Li, Yanan
  • Li, Xiang
  • Zhang, Sicheng

Abstract

Customized bus services and ride-sharing are two emerging online-hailing transport modes that greatly improve public transport efficiency and convenience, especially for night services. In this study we consider the optimal pricing problem for a platform providing these two service modes. Ride-sharing vehicles can be either driver- or platform-owned. We formulate a competitive game model in which the objective is to maximize the profits of each mode based on passengers’ transport mode choice, which is strongly affected by utility functions based on the passengers’ subjective value of time and the price of the transport mode. We develop a questionnaire to measure passengers’ subjective value of time and use the results to determine the relevant parameter value in the model. We then conduct a sensitivity analysis to study the effects of different parameters on the optimal prices and profits. The profits earned by both customized bus services and ride-sharing are positively correlated with the proportion of platform-owned vehicles. Furthermore, we conduct a series of simulation experiments to verify the validity of the numerical results. The results indicate that the absolute difference ratios between the simulation and numerical results are less than 1% when the number of passengers is set to over 8000.

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  • Li, Yanan & Li, Xiang & Zhang, Sicheng, 2021. "Optimal pricing of customized bus services and ride-sharing based on a competitive game model," Omega, Elsevier, vol. 103(C).
    • Handle: RePEc:eee:jomega:v:103:y:2021:i:c:s0305048321000220
    DOI: 10.1016/j.omega.2021.102413
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    as
    1. Lam, Terence C. & Small, Kenneth A., 0. "The value of time and reliability: measurement from a value pricing experiment," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 37(2-3), pages 231-251, April.
    2. Weibo Li & Maria Kamargianni, 2020. "An Integrated Choice and Latent Variable Model to Explore the Influence of Attitudinal and Perceptual Factors on Shared Mobility Choices and Their Value of Time Estimation," Transportation Science, INFORMS, vol. 54(1), pages 62-83, January.
    3. Alejandro Tirachini & David Hensher & Michiel Bliemer, 2014. "Accounting for travel time variability in the optimal pricing of cars and buses," Transportation, Springer, vol. 41(5), pages 947-971, September.
    4. Feng Xiao & H. M. Zhang, 2014. "Pareto-Improving and Self-Sustainable Pricing for the Morning Commute with Nonidentical Commuters," Transportation Science, INFORMS, vol. 48(2), pages 159-169, May.
    5. Niu, Baozhuang & Wang, Yulan & Guo, Pengfei, 2015. "Equilibrium pricing sequence in a co-opetitive supply chain with the ODM as a downstream rival of its OEM," Omega, Elsevier, vol. 57(PB), pages 249-270.
    6. Zhou, Shu & Song, Boqian & Gavirneni, Srinagesh, 2020. "Bundling decisions in a two-product duopoly – Lead or follow?," European Journal of Operational Research, Elsevier, vol. 284(3), pages 980-989.
    7. Yang, Hangjun & Zhang, Anming, 2012. "Effects of high-speed rail and air transport competition on prices, profits and welfare," Transportation Research Part B: Methodological, Elsevier, vol. 46(10), pages 1322-1333.
    8. Li, Zheng & Hensher, David A. & Rose, John M., 2010. "Willingness to pay for travel time reliability in passenger transport: A review and some new empirical evidence," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 46(3), pages 384-403, May.
    9. Tirachini, Alejandro & Hensher, David A. & Rose, John M., 2014. "Multimodal pricing and optimal design of urban public transport: The interplay between traffic congestion and bus crowding," Transportation Research Part B: Methodological, Elsevier, vol. 61(C), pages 33-54.
    10. de Palma, André & Kilani, Moez & Proost, Stef, 2015. "Discomfort in mass transit and its implication for scheduling and pricing," Transportation Research Part B: Methodological, Elsevier, vol. 71(C), pages 1-18.
    11. Beck, Matthew J. & Hess, Stephane & Cabral, Manuel Ojeda & Dubernet, Ilka, 2017. "Valuing travel time savings: A case of short-term or long term choices?," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 100(C), pages 133-143.
    12. Kilani, Moez & Proost, Stef & van der Loo, Saskia, 2014. "Road pricing and public transport pricing reform in Paris: Complements or substitutes?," Economics of Transportation, Elsevier, vol. 3(2), pages 175-187.
    13. Börjesson, Maria & Fung, Chau Man & Proost, Stef & Yan, Zifei, 2018. "Do buses hinder cyclists or is it the other way around? Optimal bus fares, bus stops and cycling tolls," Transportation Research Part A: Policy and Practice, Elsevier, vol. 111(C), pages 326-346.
    14. Clempner, Julio B., 2020. "Penalizing passenger’s transfer time in computing airlines revenue," Omega, Elsevier, vol. 97(C).
    15. Teppei Kato & Kenetsu Uchida & William H. K. Lam & Agachai Sumalee, 0. "Estimation of the value of travel time and of travel time reliability for heterogeneous drivers in a road network," Transportation, Springer, vol. 0, pages 1-32.
    16. Basu, Sumanta & Chakraborty, Soumyakanti & Sharma, Megha, 2015. "Pricing cloud services—the impact of broadband quality," Omega, Elsevier, vol. 50(C), pages 96-114.
    17. Yang, Hai & Ye, Min & Tang, Wilson H. & Wong, S.C., 2005. "Regulating taxi services in the presence of congestion externality," Transportation Research Part A: Policy and Practice, Elsevier, vol. 39(1), pages 17-40, January.
    18. Jiayi Joey Yu & Christopher S. Tang & Zuo-Jun Max Shen & Xiqun Michael Chen, 2020. "A Balancing Act of Regulating On-Demand Ride Services," Management Science, INFORMS, vol. 66(7), pages 2975-2992, July.
    19. Small, Kenneth A., 2001. "The Value of Pricing," University of California Transportation Center, Working Papers qt0rm449sx, University of California Transportation Center.
    20. Sun, Luoyi & Teunter, Ruud H. & Babai, M. Zied & Hua, Guowei, 2019. "Optimal pricing for ride-sourcing platforms," European Journal of Operational Research, Elsevier, vol. 278(3), pages 783-795.
    21. Börjesson, Maria & Fung, Chau Man & Proost, Stef, 2017. "Optimal prices and frequencies for buses in Stockholm," Economics of Transportation, Elsevier, vol. 9(C), pages 20-36.
    22. Li, Xiang & Qi, Xiangtong, 2021. "On pricing and quality decisions with risk aversion," Omega, Elsevier, vol. 98(C).
    23. Kostas Bimpikis & Ozan Candogan & Daniela Saban, 2019. "Spatial Pricing in Ride-Sharing Networks," Operations Research, INFORMS, vol. 67(3), pages 744-769, May.
    24. De Giovanni, Pietro, 2020. "Blockchain and smart contracts in supply chain management: A game theoretic model," International Journal of Production Economics, Elsevier, vol. 228(C).
    25. Zhang, Jie & Chiang, Wei-yu Kevin, 2020. "Durable goods pricing with reference price effects," Omega, Elsevier, vol. 91(C).
    26. Li, Zhi-Chun & Wang, Ya-Dong, 2018. "Analysis of multimodal two-dimensional urban system equilibrium for cordon toll pricing and bus service design," Transportation Research Part B: Methodological, Elsevier, vol. 111(C), pages 244-265.
    27. Chen, Pingping & Zhao, Ruiqing & Yan, Yingchen & Li, Xiang, 2020. "Promotional pricing and online business model choice in the presence of retail competition," Omega, Elsevier, vol. 94(C).
    28. Nourinejad, Mehdi & Ramezani, Mohsen, 2020. "Ride-Sourcing modeling and pricing in non-equilibrium two-sided markets," Transportation Research Part B: Methodological, Elsevier, vol. 132(C), pages 340-357.
    29. Raghu Nandan Giri & Shyamal Kumar Mondal & Manoranjan Maiti, 2020. "Bundle pricing strategies for two complementary products with different channel powers," Annals of Operations Research, Springer, vol. 287(2), pages 701-725, April.
    30. Liu, Tao & Ceder, Avishai (Avi), 2015. "Analysis of a new public-transport-service concept: Customized bus in China," Transport Policy, Elsevier, vol. 39(C), pages 63-76.
    31. Ata Allah Taleizadeh & Masoumeh Sadat Babaei & Seyed Taghi Akhavan Niaki & Mahsa Noori-daryan, 2020. "Bundle pricing and inventory decisions on complementary products," Operational Research, Springer, vol. 20(2), pages 517-541, June.
    32. Wu, Lingli & Deng, Shiming & Jiang, Xuan, 2018. "Sampling and pricing strategy under competition," Omega, Elsevier, vol. 80(C), pages 192-208.
    33. Choi, Tsan-Ming & Chung, Sai-Ho & Zhuo, Xiaopo, 2020. "Pricing with risk sensitive competing container shipping lines: Will risk seeking do more good than harm?," Transportation Research Part B: Methodological, Elsevier, vol. 133(C), pages 210-229.
    34. Qiu, Xuan & Lee, Chung-Yee, 2019. "Quantity discount pricing for rail transport in a dry port system," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 122(C), pages 563-580.
    35. Chen, Jing & Dong, Ming & Rong, Ying & Yang, Liang, 2018. "Dynamic pricing for deteriorating products with menu cost," Omega, Elsevier, vol. 75(C), pages 13-26.
    36. Kaddoura, Ihab & Bischoff, Joschka & Nagel, Kai, 2020. "Towards welfare optimal operation of innovative mobility concepts: External cost pricing in a world of shared autonomous vehicles," Transportation Research Part A: Policy and Practice, Elsevier, vol. 136(C), pages 48-63.
    37. Choi, Tsan-Ming & Ma, Cheng & Shen, Bin & Sun, Qi, 2019. "Optimal pricing in mass customization supply chains with risk-averse agents and retail competition," Omega, Elsevier, vol. 88(C), pages 150-161.
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