Fictitious play for finding system optimal routings in dynamic traffic networks

Transportation Research Part B: Methodological

Volumn 34, Issue 2, 2000, Pages 147-156

  Garcia, Alfredo ^a   Reaume, Daniel ^a   Smith, Robert L ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

GAME THEORY; TRANSPORTATION ROUTES;

DYNAMIC TRAFFIC NETWORKS;

HIGHWAY TRAFFIC CONTROL;

MODELING; TRANSPORTATION SYSTEM; TRAVEL BEHAVIOR;

EID: 0034097095     PISSN: 01912615     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0191-2615(99)00018-1     Document Type: Article

References (12)

1. Brown, G.W., 1951. Iterative solution of games by fictitious play. Activity Analysis of Production and Allocation. Wiley, New York.
2. Friesz T., Bernstein D., Smith M., Tobin R., Wie B. A variational inequality formulation of the dynamic network user equilibrium problem. Operations Research. 41:1993;179-191.
3. Fudenberg, D., Levine, D., 1991. Game Theory. MIT Press.
4. Fudenberg, D., Levine, D., 1998. The Theory of Learning in Games. MIT Press, Cambridge, MA.
5. Kaufman D., Smith R.L. Fastest paths in time-dependent networks for intelligent vehicle-highway systems application. IVHS Journal. 1(1):1993;1-11.
6. Kaufman, D., Smith, R.L., Wunderlich, K., 1998. Dynamic user-equilibrium properties of fixed-points in iterative routing-assignment methods. Transportation Research, Part C, vol. 6 (1).
7. Monderer D., Shapley L. Fictitious play property for games with identical interests. Journal of Economic Theory. 68:1996;258-265.
8. Nash, J., 1950. Equilibrium points in n-person games. Proceedings of the National Academy of Sciences 36, 48-49.
9. Ran, B., Hall, R., Boyce, D., 1996. A link-based variational inequality model for dynamic departure time/route choice. Transportation Research, Part B, vol. 30.
10. Rosenthal R.W. The network equilibrium problem in integers. Networks. 3:1973;53-59.
11. Van Aerde, M., Voss, J., McKinnon, G., Integration Simulation Model User's Guide, Version 1.1. Department of Civil Engineering, Queen's University, Kingston, Ontario, Canada.
12. Wonderlich, K., Kautman, D., Smith, R.L., 1997. Link travel time prediction techniques for convergent iterative anticipatory Route guidance methods. Technical report, Department of Industrial and Operations Engineering, University of Michigan, Ann Arbor, 1997.