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Best response game of traffic on road network of non-signalized intersections

Author

Listed:
  • Yao, Wang
  • Jia, Ning
  • Zhong, Shiquan
  • Li, Liying

Abstract

This paper studies the traffic flow in a grid road network with non-signalized intersections. The nature of the drivers in the network is simulated such that they play an iterative snowdrift game with other drivers. A cellular automata model is applied to study the characteristics of the traffic flow and the evolution of the behaviour of the drivers during the game. The drivers use best-response as their strategy to update rules. Three major findings are revealed. First, the cooperation rate in simulation experiences staircase-shaped drop as cost to benefit ratio r increases, and cooperation rate can be derived analytically as a function of cost to benefit ratio r. Second, we find that higher cooperation rate corresponds to higher average speed, lower density and higher flow. This reveals that defectors deteriorate the efficiency of traffic on non-signalized intersections. Third, the system experiences more randomness when the density is low because the drivers will not have much opportunity to update strategy when the density is low. These findings help to show how the strategy of drivers in a traffic network evolves and how their interactions influence the overall performance of the traffic system.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:phsmap:v:490:y:2018:i:c:p:386-401
    DOI: 10.1016/j.physa.2017.08.032
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    References listed on IDEAS

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    1. Chang, Hui & Xu, Xiu-Lian & Hu, Chin-Kun & Fu, Chunhua & Feng, Ai-xia & He, Da-Ren, 2014. "A manipulator game model of urban public traffic network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 416(C), pages 378-385.
    2. Oprea, Ryan & Henwood, Keith & Friedman, Daniel, 2011. "Separating the Hawks from the Doves: Evidence from continuous time laboratory games," Journal of Economic Theory, Elsevier, vol. 146(6), pages 2206-2225.
    3. Su, B.B. & Chang, H. & Chen, Y.-Z. & He, D.R., 2007. "A game theory model of urban public traffic networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 379(1), pages 291-297.
    4. Roth, Alvin E. & Erev, Ido, 1995. "Learning in extensive-form games: Experimental data and simple dynamic models in the intermediate term," Games and Economic Behavior, Elsevier, vol. 8(1), pages 164-212.
    5. 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.
    6. Tang, Tie-Qiao & Huang, Hai-Jun & Shang, Hua-Yan, 2017. "An extended macro traffic flow model accounting for the driver’s bounded rationality and numerical tests," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 468(C), pages 322-333.
    7. Nagatani, Takashi & Hino, Yuki, 2014. "Driving behavior and control in traffic system with two kinds of signals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 403(C), pages 110-119.
    8. 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.
    9. Christoph Hauert & Michael Doebeli, 2004. "Spatial structure often inhibits the evolution of cooperation in the snowdrift game," Nature, Nature, vol. 428(6983), pages 643-646, April.
    10. Chao Zhao & Ning Jia, 2015. "The impact of iterated games on traffic flow at noncontrolled intersections," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 26(01), pages 1-16.
    11. Tang, Tie-Qiao & Zhang, Jian & Liu, Kai, 2017. "A speed guidance model accounting for the driver’s bounded rationality at a signalized intersection," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 45-52.
    12. Matsui, Akihiko, 1992. "Best response dynamics and socially stable strategies," Journal of Economic Theory, Elsevier, vol. 57(2), pages 343-362, August.
    13. Yaron Hollander & Joseph Prashker, 2006. "The applicability of non-cooperative game theory in transport analysis," Transportation, Springer, vol. 33(5), pages 481-496, September.
    Full references (including those not matched with items on IDEAS)

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    2. Krzysztof J. Szajowski & Kinga Włodarczyk, 2020. "Drivers’ Skills and Behavior vs. Traffic at Intersections," Mathematics, MDPI, vol. 8(3), pages 1-20, March.

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