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A dynamic parking charge optimal control model under perspective of commuters’ evolutionary game behavior

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  • Lin, XuXun
  • Yuan, PengCheng

Abstract

In this research we consider commuters’ dynamic learning effect by modeling the trip mode choice behavior from a new perspective of dynamic evolutionary game theory. We explore the behavior pattern of different types of commuters and study the evolution path and equilibrium properties under different traffic conditions. We further establish a dynamic parking charge optimal control (referred to as DPCOC) model to alter commuters’ trip mode choice while minimizing the total social cost. Numerical tests show. (1) Under fixed parking fee policy, the evolutionary results are completely decided by the travel time and the only method for public transit induction is to increase the parking charge price. (2) Compared with fixed parking fee policy, DPCOC policy proposed in this research has several advantages. Firstly, it can effectively turn the evolutionary path and evolutionary stable strategy to a better situation while minimizing the total social cost. Secondly, it can reduce the sensitivity of trip mode choice behavior to traffic congestion and improve the ability to resist interferences and emergencies. Thirdly, it is able to control the private car proportion to a stable state and make the trip behavior more predictable for the transportation management department. The research results can provide theoretical basis and decision-making references for commuters’ mode choice prediction, dynamic setting of urban parking charge prices and public transit induction.

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  • 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.
    • Handle: RePEc:eee:phsmap:v:490:y:2018:i:c:p:1096-1110
    DOI: 10.1016/j.physa.2017.08.063
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    as
    1. Yuan, PengCheng & Lin, XuXun, 2017. "How long will the traffic flow time series keep efficacious to forecast the future?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 467(C), pages 419-431.
    2. van Ommeren, Jos & Russo, Giovanni, 2014. "Time-varying parking prices," Economics of Transportation, Elsevier, vol. 3(2), pages 166-174.
    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. Yuan, PengCheng & Juan, ZhiCai, 2013. "The related congestion failure estimating methodology and model in transportation networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(19), pages 4330-4344.
    5. Liu, Li & Ma, Guofeng, 2014. "Cross-correlation between crude oil and refined product prices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 413(C), pages 284-293.
    6. Fosgerau, Mogens & de Palma, André, 2013. "The dynamics of urban traffic congestion and the price of parking," Journal of Public Economics, Elsevier, vol. 105(C), pages 106-115.
    7. Tang, Tie-Qiao & Chen, Liang & Wu, Yong-Hong & Caccetta, Lou, 2015. "A macro traffic flow model accounting for real-time traffic state," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 437(C), pages 55-67.
    8. Qian, Zhen (Sean) & Rajagopal, Ram, 2014. "Optimal occupancy-driven parking pricing under demand uncertainties and traveler heterogeneity: A stochastic control approach," Transportation Research Part B: Methodological, Elsevier, vol. 67(C), pages 144-165.
    9. Simićević, Jelena & Vukanović, Smiljan & Milosavljević, Nada, 2013. "The effect of parking charges and time limit to car usage and parking behaviour," Transport Policy, Elsevier, vol. 30(C), pages 125-131.
    10. Ma, Feng & Wei, Yu & Huang, Dengshi, 2013. "Multifractal detrended cross-correlation analysis between the Chinese stock market and surrounding stock markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(7), pages 1659-1670.
    11. Talarico, Luca & Reniers, Genserik & Sörensen, Kenneth & Springael, Johan, 2015. "MISTRAL: A game-theoretical model to allocate security measures in a multi-modal chemical transportation network with adaptive adversaries," Reliability Engineering and System Safety, Elsevier, vol. 138(C), pages 105-114.
    12. Li, Dandan & Ma, Jing & Tian, Zihao & Zhu, Hengmin, 2015. "An evolutionary game for the diffusion of rumor in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 433(C), pages 51-58.
    13. Yu, Jie-Ru & Liu, Xue-Lu & Zheng, Xiu-Deng & Tao, Yi, 2017. "Selection intensity and risk-dominant strategy: A two-strategy stochastic evolutionary game dynamics in finite population," Applied Mathematics and Computation, Elsevier, vol. 297(C), pages 1-7.
    14. Lv, Xiaodong & Shan, Xian, 2013. "Modeling natural gas market volatility using GARCH with different distributions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(22), pages 5685-5699.
    15. Wang, Yudong & Liu, Li & Gu, Rongbao & Cao, Jianjun & Wang, Haiyan, 2010. "Analysis of market efficiency for the Shanghai stock market over time," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(8), pages 1635-1642.
    16. Ma, Feng & Wei, Yu & Huang, Dengshi & Chen, Yixiang, 2014. "Which is the better forecasting model? A comparison between HAR-RV and multifractality volatility," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 405(C), pages 171-180.
    17. Frey, Erwin, 2010. "Evolutionary game theory: Theoretical concepts and applications to microbial communities," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(20), pages 4265-4298.
    18. 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.
    19. Sun, Lian-Ju & Gao, Zi-You, 2007. "An equilibrium model for urban transit assignment based on game theory," European Journal of Operational Research, Elsevier, vol. 181(1), pages 305-314, August.
    20. Kerner, Boris S., 2017. "Breakdown minimization principle versus Wardrop’s equilibria for dynamic traffic assignment and control in traffic and transportation networks: A critical mini-review," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 466(C), pages 626-662.
    21. Pierce, Gregory & Willson, Hank & Shoup, Donald, 2015. "Optimizing the use of public garages: Pricing parking by demand," Transport Policy, Elsevier, vol. 44(C), pages 89-95.
    22. Albert, Gila & Mahalel, David, 2006. "Congestion tolls and parking fees: A comparison of the potential effect on travel behavior," Transport Policy, Elsevier, vol. 13(6), pages 496-502, November.
    23. Chang, Ching-Ter & Chung, Cheng-Kung & Sheu, Jiuh-Biing & Zhuang, Zheng-Yun & Chen, Huang-Mu, 2014. "The optimal dual-pricing policy of mall parking service," Transportation Research Part A: Policy and Practice, Elsevier, vol. 70(C), pages 223-243.
    24. Li, Qi-Lang & Wong, S.C. & Min, Jie & Tian, Shuo & Wang, Bing-Hong, 2016. "A cellular automata traffic flow model considering the heterogeneity of acceleration and delay probability," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 456(C), pages 128-134.
    25. Ahmadi Azari, Kian & Arintono, Sulistyo & Hamid, Hussain & Rahmat, Riza Atiq O.K., 2013. "Modelling demand under parking and cordon pricing policy," Transport Policy, Elsevier, vol. 25(C), pages 1-9.
    26. Bell, Michael G. H., 2000. "A game theory approach to measuring the performance reliability of transport networks," Transportation Research Part B: Methodological, Elsevier, vol. 34(6), pages 533-545, August.
    27. Tang, T.Q. & Huang, H.J. & Mei, C.Q. & Zhao, S.G., 2008. "A dynamic model for traffic network flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(11), pages 2603-2610.
    28. Bell, Michael G. H. & Cassir, Chris, 2002. "Risk-averse user equilibrium traffic assignment: an application of game theory," Transportation Research Part B: Methodological, Elsevier, vol. 36(8), pages 671-681, September.
    29. Ding, Fei & Liu, Yun & Shen, Bo & Si, Xia-Meng, 2010. "An evolutionary game theory model of binary opinion formation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(8), pages 1745-1752.
    30. Farokhi, Farhad & Johansson, Karl H., 2015. "A piecewise-constant congestion taxing policy for repeated routing games," Transportation Research Part B: Methodological, Elsevier, vol. 78(C), pages 123-143.
    31. Chen, Jingxu & Li, Zhibin & Jiang, Hang & Zhu, Senlai & Wang, Wei, 2017. "Simulating the impacts of on-street vehicle parking on traffic operations on urban streets using cellular automation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 468(C), pages 880-891.
    32. Liu, Li, 2014. "Cross-correlations between crude oil and agricultural commodity markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 395(C), pages 293-302.
    33. Fosgerau, Mogens & de Palma, André, 2013. "The dynamics of urban traffic congestion and the price of parking�," MPRA Paper 48433, University Library of Munich, Germany.
    34. Hassan, M.Kamrul & Schmidt, Jürgen & Blasius, Bernd & Kurths, Jürgen, 2002. "Jamming and asymptotic behavior in competitive random parking of bidisperse cars," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 315(1), pages 163-173.
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