Pedestrian flow dynamics in a lattice gas model coupled with an evolutionary game

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 84, Issue 3, 2011, Pages

  Hao, Qing Yi ^a,b   Jiang, Rui ^a   Hu, Mao Bin ^a   Jia, Bin ^c   Wu, Qing Song ^a  

^a UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

^b ANQING NORMAL UNIVERSITY   (China)

^c BEIJING JIAOTONG UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

CRITICAL DENSITY; EVOLUTIONARY GAMES; FIRST-ORDER PHASE TRANSITIONS; FUNDAMENTAL DIAGRAM; LATTICE GAS MODEL; MEAN FIELD ANALYSIS; MICROSCOPIC MECHANISMS; PARALLEL UPDATE; PEDESTRIAN FLOW; TWO-LANE SYSTEMS;

GAME THEORY; GAS DYNAMICS; PHASE DIAGRAMS; PROBABILITY DISTRIBUTIONS;

CRYSTAL LATTICES;

EID: 80053046301     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.84.036107     Document Type: Article

References (36)

1. D. Helbing, I. J. Farkas, and T. Vicsek, Nature (London) NATUAS 0028-0836 10.1038/35035023 407, 487 (2000).
2. Pedestrian and Evacuation Dynamics, edited by M. Schreckenberg and S. D. Sharma (Springer, New York, 2001).
3. Dirk Helbing, Anders Johansson, and Habib Zein Al Abideen, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.75.046109 75, 046109 (2007). (Pubitemid 46626933)
4. T. Kretz, M. Wölki, and M. Schreckenberg, J. Stat. Mech.: Theory Exp. NATUAS 1742-5468 10.1088/1742-5468/2006/02/P02005 (2006) P02005.
5. M. Boltes, A. Seyfried, B. Steffen, and A. Schadschneider, in Pedestrian and Evacuation Dynamics 2008, edited by, W. W. F. Klingsch, C. Rogsch, A. Schadschneider, and, M. Schreckenberg, (Springer, New York, 2010), pp. 43-54.
6. S. P. Hoogendoorn and W. Daamen, Transp. Sci. TRSCBJ 0041-1655 10.1287/trsc.1040.0102 39, 147 (2005). (Pubitemid 40748586)
7. D. Helbing and P. Molnar, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.51.4282 51, 4282 (1995).
8. D. R. Parisi, M. Gilman, and H. Moldovan, Physica A PHYADX 0378-4371 10.1016/j.physa.2009.05.027 388, 3600 (2009).
9. S. Xu and H. B. L. Duh, IEEE Trans. Intell. Transp. Syst. PHYADX 1524-9050 10.1109/TITS.2009.2036152 11, 153 (2010).
10. D. Helbing, M. Isobe, T. Nagatani, and K. Takimoto, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.67.067101 67, 067101 (2003).
11. M. Isobe, D. Helbing, and T. Nagatani, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.69.066132 69, 066132 (2004).
12. M. Muramatsu, T. Irie, and T. Nagatani, Physica A PHYADX 0378-4371 10.1016/S0378-4371(99)00018-7 267, 487 (1999).
13. M. Muramatsu and T. Nagatani, Physica A PHYADX 0378-4371 10.1016/S0378-4371(00)00336-8 286, 377 (2000).
14. W. G. Weng, T. Chen, H. Y. Yuan, and W. C. Fan, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.74.036102 74, 036102 (2006). (Pubitemid 44343490)
15. H. Kuang, X. Li, T. Song, and S. Dai, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.78.066117 78, 066117 (2008).
16. C. Burstedde, K. Klauck, A. Schadschneider, and J. Zittartz, Physica A PHYADX 0378-4371 10.1016/S0378-4371(01)00141-8 295, 507 (2001). (Pubitemid 32495763)
17. A. Kirchner, K. Nishinari, and A. Schadschneider, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.67.056122 67, 056122 (2003).
18. D. Yanagisawa and K. Nishinari, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.76.061117 76, 061117 (2007). (Pubitemid 351377707)
19. Y. F. Yu and W. G. Song, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.75.046112 75, 046112 (2007). (Pubitemid 46641509)
20. H. J. Huang and R. Y. Guo, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.78.021131 78, 021131 (2008).
21. D. Yanagisawa, A. Kimura, A. Tomoeda, R. Nishi, Y. Suma, K. Ohtsuka, and K. Nishinari, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.80.036110 80, 036110 (2009).
22. H. Zhao and Z. Y. Gao, J. Phys. A PHYADX 1751-8113 10.1088/1751-8113/43/ 10/105001 43, 105001 (2010).
23. Q. Y. Hao, M. B. Hu, X. Q. Cheng, W. G. Song, R. Jiang, and Q. S. Wu, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.82.026113 82, 026113 (2010).
24. M. Perc, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/9/1/003 9, 3 (2007).
25. X. Y. Sun, R. Jiang, Q. Y. Hao, and B. H. Wang, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/92/18003 92, 18003 (2010).
26. Y. Ji, 2008 IEEE Intelligent Vehicles Symposium (IEEE, Eindhoven, The Netherlands, 2008), p. 1191.
27. Y. Ji, Prog. Nat. Sci. 1002-0071 10.1016/j.pnsc.2008.05.032 19, 337 (2009) (in Chinese).
28. J. Tanimoto, A. Hagishima, and Y. Tanaka, Physica A PHYADX 0378-4371 10.1016/j.physa.2010.08.032 389, 5611 (2010).
29. X. P. Zheng and Y. Cheng, Physica A PHYADX 0378-4371 10.1016/j.physa. 2010.12.007 390, 1042 (2011).
30. J. Hofbauer and K. Sigmund, Evolutionary Games and Population Dynamics (Cambridge University Press, Cambridge, England, 1998).
31. J. M. Smith, Evolution and the Theory of Games (Cambridge University Press, Cambridge, England, 1982).
32. R. Axelrod, The Evolution of Cooperation (Basic Books, New York, 1984).
33. A. C. Barato and H. Hinrichsen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.165701 100, 165701 (2008). (Pubitemid 351574586)
34. M. A. Nowak and K. Sigmund, Nature (London) NATUAS 0028-0836 10.1038/364056a0 364, 56 (1993). (Pubitemid 23233453)
35. M. A. Nowak, Science SCIEAS 0036-8075 10.1126/science.1133755 314, 1560 (2006). (Pubitemid 44907141)
36. D. Helbing and W. Yu, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.0811503106 106, 3680 (2009).