An equilibrium model for urban transit assignment based on game theory

European Journal of Operational Research

Volumn 181, Issue 1, 2007, Pages 305-314

  Sun, Lian Ju ^a,b   Gao, Zi You ^a  

^a BEIJING JIAOTONG UNIVERSITY   (China)

^b QUFU NORMAL UNIVERSITY   (China)

Author keywords

Equilibrium; Generalized Nash equilibrium game; Transit network

Indexed keywords

ALGORITHMS; DISTRIBUTION OF GOODS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MATHEMATICAL PROGRAMMING; URBAN PLANNING;

EQUILIBRIUM SOLUTION; GENERALIZED NASH EQUILIBRIUM GAME; TRANSIT NETWORK;

GAME THEORY;

EID: 33847275138     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ejor.2006.05.028     Document Type: Article

References (25)

1. Arrow K.J., and Intriligator M.D. Handbook of Mathematical Economics vol. II (1982), North-Holland Publishing Company, New York pp. 697-791
2. Codenotti, B., Pemmaraju, S., Varadarajan, K., 2004. Algorithms column: The computation of market equilibrium, ACM SIGACT News, November 10. Available from: .
3. Daniele P., and Maugeri A. Variational inequalities and discrete and continuum models of network equilibrium problems. Mathematical and Computer Modelling 35 (2002) 689-708
4. Gao Z.Y., and Song Y.F. A reserve capacity model of optimal signal control with user-equilibrium route choice. Transportation Research Part B 36 (2002) 313-323
5. Gao Z.Y., Sun H.J., and Shan L.L. A continuous equilibrium network design model and algorithm for transit system. Transportation Research Part B 38 (2004) 235-250
6. Gao Z.Y., Wu J.J., and Sun H.J. Solution algorithm for the bi-level discrete network design problem. Transportation Research Part B 39 (2005) 479-495
7. Harker P.T. Generalized Nash games and quasi-variational inequalities. European Journal of Operational Research 54 1 (1991) 81-94
8. Hawkins R.J., and Frieden B.R. Fisher information and equilibrium distributions in econophysics. Physics Letters A 322 (2004) 126-130
9. Huang T. A Course of Game Theory and its Applications (in Chinese) (2004), Capital University of Economics and Business Press, Beijing
10. Huang G.Y., and Zhou J. Fare competition between highway and public transport (in Chinese). Journal of Southeast University (Natural Science Edition) 34 2 (2004) 268-273
11. Ichiishi T. Game Theory for Economic Analysis (1983), Academic Press, New York
12. Jain, K., Vazirani, V.V., Ye, Y.Y., 2005. Market equilibria for homothetic, quasi-concave utilities and economies of scale in production. Technical Paper, Management, Science and Engineering, Stanford, CA. Available from: .
13. Li J., and Fan B.Q. Public transport operation scale analysis with game theory (in Chinese). Urban Public Transport 2 (2003) 9-10
14. Lourdes Z. A network equilibrium model for oligopolistic competition in city bus services. Transportation Research Part B 32 (1998) 413-422
15. Nagurney A. A multiclass, multicriteria traffic network equilibrium model. Mathematical and Computer Modelling 32 (2000) 393-411
16. Nagurney A., and Dong J. A multiclass, multicriteria traffic network equilibrium model with elastic demand. Transportation Research Part B 36 (2002) 445-469
17. Ogaki M. Aggregation under complete markets. Review of Economic Dynamics 6 (2003) 977-986
18. Pang J.S., and Yang J.M. Parallel Newton's method for computing the nonlinear complementarity problems. Mathematical Programming 42 3 (1998) 407-420
19. Patriksson M., and Rockafellar R.T. A mathematical model and descent algorithm for bilevel traffic management. Transportation Science 36 3 (2002) 271-291
20. Samuelson L. Evolutionary Games and Equilibrium Selection (1997), The MIT Press, Cambridge
21. Xiao B.C., and Peng J. A study of passenger transport pricing strategy for China's civil aviation industry (in Chinese). Journal of Sichuan University (Social Science Edition) 6 (2002) 10-15
22. Yang S.L., and Zhang X. A game theoretical analysis of marketable air fare (in Chinese). Commercial Research 259 (2002) 10-13
23. Zhang W.Y. Game Theory and Information Economics (in Chinese) (1996), Shanghai People's Press, Shanghai
24. Zhou J., and Xu Y. Generalized Nash managing game model for transit network (in Chinese). Journal of System Engineering 16 4 (2001) 261-266
25. Zhou J., Lam W.H.K., and Heydecker B.G. The generalized Nash equilibrium model for oligopolistic transit market with elastic demand. Transportation Research Part B 39 (2005) 519-544