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A study on the strategic behavior of players participating in air-rail intermodal transportation based on evolutionary games

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  • Sun, Bo
  • Xu, Zehui
  • Wei, Ming
  • Wang, Xin

Abstract

This study elaborated a tripartite evolutionary game model of civil aviation, high-speed rail (HSR), and passengers in an air-rail intermodal transport system (ARITS). It is used to find the optimal interaction between civil aviation, HSR, and passengers on non-direct journeys, as expressed in payoffs of the three players and decision-making behaviors in game. Payoff matrices of three game players were created considering travel time, fare, and mileage cost. The replicated dynamic equations were then derived to analyze the stability of the evolutionary model and the dynamic behavior of each game player under the initial status. Finally, a case of five transport corridors in China was conducted to assess the effects of such key factors as discounted fares, travel time, and mileage costs on the evolutionary trend and final strategy. The results strongly indicated that each game player would tend to choose the strategy with the highest payoff, in which civil aviation and HSR were ultimately inclined to a cooperative strategy while passengers eventually preferred to support the construction of ARITS. Besides, the variation of each game player's factors affected the trend of the tripartite evolutionary game. Still, only the discount on fares may change the final strategies of three game players, in which civil aviation would be more likely to change into a competitive strategy due to individual interests.

Suggested Citation

  • Sun, Bo & Xu, Zehui & Wei, Ming & Wang, Xin, 2025. "A study on the strategic behavior of players participating in air-rail intermodal transportation based on evolutionary games," Journal of Air Transport Management, Elsevier, vol. 126(C).
    • Handle: RePEc:eee:jaitra:v:126:y:2025:i:c:s0969699725000560
    DOI: 10.1016/j.jairtraman.2025.102793
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    1. Chiambaretto, Paul & Baudelaire, Clément & Lavril, Thibaut, 2013. "Measuring the willingness-to-pay of air-rail intermodal passengers," Journal of Air Transport Management, Elsevier, vol. 26(C), pages 50-54.
    2. Jiang, Changmin & Zhang, Anming, 2014. "Effects of high-speed rail and airline cooperation under hub airport capacity constraint," Transportation Research Part B: Methodological, Elsevier, vol. 60(C), pages 33-49.
    3. 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.
    4. Fu, Xiao & Wu, Youqi & Huang, Di & Wu, Jianjun, 2022. "An activity-based model for transit network design and activity location planning in a three-party game framework," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 168(C).
    5. Jan-Dirk Schmöcker & Michael G.H. Bell & Fumitaka Kurauchi & Hiroshi Shimamoto, 2009. "A Game Theoretic Approach to the Determination of Hyperpaths in Transportation Networks," Springer Books, in: William H. K. Lam & S. C. Wong & Hong K. Lo (ed.), Transportation and Traffic Theory 2009: Golden Jubilee, chapter 0, pages 1-18, Springer.
    6. Tsunoda, Yushi, 2018. "Transportation policy for high-speed rail competing with airlines," Transportation Research Part A: Policy and Practice, Elsevier, vol. 116(C), pages 350-360.
    7. Friedman, Daniel, 1991. "Evolutionary Games in Economics," Econometrica, Econometric Society, vol. 59(3), pages 637-666, May.
    8. Xia, Wenyi & Jiang, Changmin & Wang, Kun & Zhang, Anming, 2019. "Air-rail revenue sharing in a multi-airport system: Effects on traffic and social welfare," Transportation Research Part B: Methodological, Elsevier, vol. 121(C), pages 304-319.
    9. Albalate, Daniel & Bel, Germà & Fageda, Xavier, 2015. "Competition and cooperation between high-speed rail and air transportation services in Europe," Journal of Transport Geography, Elsevier, vol. 42(C), pages 166-174.
    10. Sun, Daniel(Jian) & Ding, Xueqing, 2019. "Spatiotemporal evolution of ridesourcing markets under the new restriction policy: A case study in Shanghai," Transportation Research Part A: Policy and Practice, Elsevier, vol. 130(C), pages 227-239.
    11. Zhu, Feng & Wu, Xu & Cao, Chengxuan, 2021. "High-speed rail and air transport competition under high flight delay conditions in China: A case study of the Beijing-Shanghai corridor," Utilities Policy, Elsevier, vol. 71(C).
    12. Shao, Quan & Yuan, Jia, 2022. "Study on the disposal strategy of civil aviation passenger collective events based on evolutionary game theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 598(C).
    13. Li, Xiaoyu & Jiang, Changmin & Wang, Kun & Ma, Jun, 2018. "Determinants of partnership levels in air-rail cooperation," Journal of Air Transport Management, Elsevier, vol. 71(C), pages 88-96.
    14. Xia, Wenyi & Zhang, Anming, 2017. "Air and high-speed rail transport integration on profits and welfare: Effects of air-rail connecting time," Journal of Air Transport Management, Elsevier, vol. 65(C), pages 181-190.
    15. Adler, Nicole & Pels, Eric & Nash, Chris, 2010. "High-speed rail and air transport competition: Game engineering as tool for cost-benefit analysis," Transportation Research Part B: Methodological, Elsevier, vol. 44(7), pages 812-833, August.
    16. Xueming Chen & Lin Lin, 2016. "The Integration of Air and Rail Technologies: Shanghai's Hongqiao Integrated Transport Hub," Journal of Urban Technology, Taylor & Francis Journals, vol. 23(2), pages 23-46, April.
    17. Álvarez-SanJaime, Óscar & Cantos-Sanchez, Pedro & Moner-Colonques, Rafael & Sempere-Monerris, Jose J., 2020. "Pricing and infrastructure fees in shaping cooperation in a model of high-speed rail and airline competition," Transportation Research Part B: Methodological, Elsevier, vol. 140(C), pages 22-41.
    18. Li, Zhi-Chun & Sheng, Dian, 2016. "Forecasting passenger travel demand for air and high-speed rail integration service: A case study of Beijing-Guangzhou corridor, China," Transportation Research Part A: Policy and Practice, Elsevier, vol. 94(C), pages 397-410.
    19. Xu, Yifan & Adler, Nicole & Wandelt, Sebastian & Sun, Xiaoqian, 2024. "Competitive integrated airline schedule design and fleet assignment," European Journal of Operational Research, Elsevier, vol. 314(1), pages 32-50.
    20. Adler, Nicole & Brudner, Amir & Proost, Stef, 2021. "A review of transport market modeling using game-theoretic principles," European Journal of Operational Research, Elsevier, vol. 291(3), pages 808-829.
    21. Sun, Xiaoqian & Zheng, Changhong & Li, Jiachang & Jiang, Changmin & Zhang, Anming & Wandelt, Sebastian, 2024. "A review on research regarding HSR interactions with air transport and outlook for future research challenges," Transport Policy, Elsevier, vol. 157(C), pages 74-85.
    22. Li, Jiachang & Sun, Xiaoqian & Cong, Wei & Miyoshi, Chikage & Ying, Lee Chui & Wandelt, Sebastian, 2024. "On the air-HSR mode substitution in China: From the carbon intensity reduction perspective," Transportation Research Part A: Policy and Practice, Elsevier, vol. 180(C).
    23. Jiang, Changmin & D'Alfonso, Tiziana & Wan, Yulai, 2017. "Air-rail cooperation: Partnership level, market structure and welfare implications," Transportation Research Part B: Methodological, Elsevier, vol. 104(C), pages 461-482.
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