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Dilemma game structure hidden in traffic flow at a bottleneck due to a 2 into 1 lane junction

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  • Nakata, Makoto
  • Yamauchi, Atsuo
  • Tanimoto, Jun
  • Hagishima, Aya

Abstract

Following Yamauchi’s study [A. Yamauchi, J. Tanimoto, A. Hagishima, H. Sagara, Dilemma game structure observed in traffic flow at a 2-to-1 lane junction, Physical Review E 79 (2009) 036104], we find that several social dilemma structures are represented by n-person Prisoner’s Dilemma (n-PD) games in certain traffic flow phases at a bottleneck caused by a lane-closing section. In this study, the stochastic Nishinari–Fukui–Schadschneider (S-NFS) model was adopted as a cellular automaton traffic model. In the system, two classes of driver-agents coexist: C-Agents (cooperative strategy) always driving in the first lane, and D-Agents (defective strategy) trying to drive in a lower-density lane, whether the first or the second lane. In relatively high-density flow phases, such as the metastable phase and the high-density phase, we found n-PD games, where D-Agents’ interruption into the first lane from the second just before the lane-closing section creates a heavier traffic jam, which reduces social efficiency. This could be solved by decreasing the interruption probability, which can be realized by a provision where drivers in the first lane firmly refuse interruptions.

Suggested Citation

  • Nakata, Makoto & Yamauchi, Atsuo & Tanimoto, Jun & Hagishima, Aya, 2010. "Dilemma game structure hidden in traffic flow at a bottleneck due to a 2 into 1 lane junction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(23), pages 5353-5361.
    • Handle: RePEc:eee:phsmap:v:389:y:2010:i:23:p:5353-5361
    DOI: 10.1016/j.physa.2010.08.005
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    References listed on IDEAS

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    1. Denos C. Gazis & Robert Herman & Richard W. Rothery, 1961. "Nonlinear Follow-the-Leader Models of Traffic Flow," Operations Research, INFORMS, vol. 9(4), pages 545-567, August.
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    Cited by:

    1. Fiems, Dieter & Prabhu, Balakrishna & De Turck, Koen, 2019. "Travel times, rational queueing and the macroscopic fundamental diagram of traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 524(C), pages 412-421.
    2. Fan, Hongqiang & Jia, Bin & Tian, Junfang & Yun, Lifen, 2014. "Characteristics of traffic flow at a non-signalized intersection in the framework of game theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 415(C), pages 172-180.
    3. Sueyoshi, Fumi & Utsumi, Shinobu & Tanimoto, Jun, 2022. "Underlying social dilemmas in mixed traffic flow with lane changes," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    4. Hongsheng Qi & Meiqi Liu & Lihui Zhang & Dianhai Wang, 2016. "Tracing Road Network Bottleneck by Data Driven Approach," PLOS ONE, Public Library of Science, vol. 11(5), pages 1-16, May.
    5. Davis, L.C., 2016. "Improving traffic flow at a 2-to-1 lane reduction with wirelessly connected, adaptive cruise control vehicles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 451(C), pages 320-332.
    6. Nagatani, Takashi, 2020. "Traffic flow on percolation-backbone fractal," Chaos, Solitons & Fractals, Elsevier, vol. 135(C).
    7. Simão, Ricardo & Wardil, Lucas, 2021. "Social dilemma in traffic with heterogeneous drivers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 561(C).
    8. Yu, Yuewen & Luo, Xia & Su, Qiming & Peng, Weikang, 2023. "A dynamic lane-changing decision and trajectory planning model of autonomous vehicles under mixed autonomous vehicle and human-driven vehicle environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 609(C).
    9. Simão, Ricardo, 2021. "Evolution of behaviors in heterogeneous traffic models as driven annealed disorders and its relation to the n-vector model," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).
    10. Tanimoto, Jun & Nakamura, Kousuke, 2016. "Social dilemma structure hidden behind traffic flow with route selection," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 459(C), pages 92-99.
    11. Tanimoto, Jun & An, Xie, 2019. "Improvement of traffic flux with introduction of a new lane-change protocol supported by Intelligent Traffic System," Chaos, Solitons & Fractals, Elsevier, vol. 122(C), pages 1-5.
    12. Lin, XuXun & Yuan, PengCheng, 2018. "A dynamic parking charge optimal control model under perspective of commuters’ evolutionary game behavior," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 1096-1110.
    13. Zhang, Qianran & Ma, Shoufeng & Tian, Junfang & Rose, John M. & Jia, Ning, 2022. "Mode choice between autonomous vehicles and manually-driven vehicles: An experimental study of information and reward," Transportation Research Part A: Policy and Practice, Elsevier, vol. 157(C), pages 24-39.
    14. Tanimoto, Jun & Futamata, Masanori & Tanaka, Masaki, 2020. "Automated vehicle control systems need to solve social dilemmas to be disseminated," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
    15. 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.

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