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A merging-giveway interaction model of cars in a merging section: a game theoretic analysis

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  • Kita, Hideyuki

Abstract

In many past studies dealing with traffic phenomena in merging or weaving sections, only the influence of through traffic on the behavior of a merging car is considered in the analysis. It is, however, often seen that a through car, which runs on the most outside lane, takes a cooperative motion for the merging car called "giving way" by moving to the adjacent lane. That is, both the merging car and the through car affect one another. Because their influence is not independent from one another, it should be jointly treated in the analysis as "interaction". This behavior is typical in merging sections, and is a dominant factor forming the traffic phenomena in a section of this type. This study develops a game theoretical model to describe the traffic behavior of a pair of merging and through cars, while explicitly considering the interaction between them. Both the merging and through cars attempt to take the best actions for themselves by forecasting the other's action, respectively. Such a behavior is modeled as a two-person non-zero-sum non-cooperative game. Through a case study with data analysis of videotaped observation, the proposed model can be used to obtain an understanding of traffic behavior at on-ramp merging sections. ©

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  • Kita, Hideyuki, 1999. "A merging-giveway interaction model of cars in a merging section: a game theoretic analysis," Transportation Research Part A: Policy and Practice, Elsevier, vol. 33(3-4), pages 305-312, April.
    • Handle: RePEc:eee:transa:v:33:y:1999:i:3-4:p:305-312
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    Cited by:

    1. Ma, Changxi & Li, Dong, 2023. "A review of vehicle lane change research," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 626(C).
    2. Wuping Xin & David Levinson, 2015. "Stochastic Congestion and Pricing Model with Endogenous Departure Time Selection and Heterogeneous Travelers," Mathematical Population Studies, Taylor & Francis Journals, vol. 22(1), pages 37-52, March.
    3. Ji Ang & David Levinson, 2020. "A Review of Game Theory Models of Lane Changing," Working Papers 2022-01, University of Minnesota: Nexus Research Group.
    4. Mehr, Negar & Li, Ruolin & Horowitz, Roberto, 2021. "A game theoretic macroscopic model of lane choices at traffic diverges with applications to mixed–autonomy networks," Transportation Research Part B: Methodological, Elsevier, vol. 144(C), pages 45-59.
    5. Yang, Zhisen & Yang, Zaili & Yin, Jingbo & Qu, Zhuohua, 2018. "A risk-based game model for rational inspections in port state control," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 118(C), pages 477-495.
    6. Chang, Justin Sueun & Mackett, Roger Laurence, 2006. "A bi-level model of the relationship between transport and residential location," Transportation Research Part B: Methodological, Elsevier, vol. 40(2), pages 123-146, February.
    7. Ishii, Masahiro & Lee, Paul Tae-Woo & Tezuka, Koichiro & Chang, Young-Tae, 2013. "A game theoretical analysis of port competition," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 49(1), pages 92-106.
    8. Li, Gen & Zhao, Le & Tang, Wenyun & Wu, Lan & Ren, Jiaolong, 2023. "Modeling and analysis of mandatory lane-changing behavior considering heterogeneity in means and variances," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 622(C).
    9. Sheikh, Muhammad Sameer & Wang, Ji & Regan, Amelia, 2021. "A game theory-based controller approach for identifying incidents caused by aberrant lane changing behavior," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 580(C).
    10. Madanat, Samer Michel & Papakonstantinou, Ilia & Lee, Jinwoo, 2019. "The benefits of cooperative policies for transportation network protection from sea level rise: A case study of the San Francisco Bay Area," Transport Policy, Elsevier, vol. 76(C), pages 1-9.
    11. Khelfa, Basma & Ba, Ibrahima & Tordeux, Antoine, 2023. "Predicting highway lane-changing maneuvers: A benchmark analysis of machine and ensemble learning algorithms," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 612(C).
    12. Jin, W. L. & Zhang, H. M., 2003. "On the distribution schemes for determining flows through a merge," Transportation Research Part B: Methodological, Elsevier, vol. 37(6), pages 521-540, July.
    13. Zheng, Zuduo, 2014. "Recent developments and research needs in modeling lane changing," Transportation Research Part B: Methodological, Elsevier, vol. 60(C), pages 16-32.
    14. Weihan Chen & Gang Ren & Qi Cao & Jianhua Song & Yikun Liu & Changyin Dong, 2023. "A Game-Theory-Based Approach to Modeling Lane-Changing Interactions on Highway On-Ramps: Considering the Bounded Rationality of Drivers," Mathematics, MDPI, vol. 11(2), pages 1-16, January.
    15. Yao, Zhouzhou & Wu, Xianyu & Yang, Yang & Li, Ning, 2024. "A digital decision approach for indirect-reciprocity based cooperative lane-changing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 633(C).
    16. Papakonstantinou, Ilia & Lee, Jinwoo & Madanat, Samer Michel, 2019. "Game theoretic approaches for highway infrastructure protection against sea level rise: Co-opetition among multiple players," Transportation Research Part B: Methodological, Elsevier, vol. 123(C), pages 21-37.
    17. Ang Ji & David Levinson, 2021. "Estimating the Social Gap with a Game Theory Model of Lane Changing," Working Papers 2021-02, University of Minnesota: Nexus Research Group.
    18. Yao, Wang & Jia, Ning & Zhong, Shiquan & Li, Liying, 2018. "Best response game of traffic on road network of non-signalized intersections," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 386-401.
    19. Zhou, Hao & Toth, Christopher & Guensler, Randall & Laval, Jorge, 2022. "Hybrid modeling of lane changes near freeway diverges," Transportation Research Part B: Methodological, Elsevier, vol. 165(C), pages 1-14.
    20. Wang, Bingtong & Li, Zhibin & Wang, Shunchao & Li, Meng & Ji, Ang, 2022. "Modeling bounded rationality in discretionary lane change with the quantal response equilibrium of game theory," Transportation Research Part B: Methodological, Elsevier, vol. 164(C), pages 145-161.

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