A multi-agent model of travelers competing to utilize a roadway in time and space is presented in this paper to illustrate the effect of congestion and pricing on traveler behaviors and network equilibrium. To realize the spillover effect among travelers, N-player games are constructed in which the strategy set include (N+1) strategies. We solve the discrete N-player game (for N less than 8) and find Nash equilibria if they exist. This model is compared to the bottleneck model. The results of numerical simulation show that the two models yield identical results in terms of lowest total costs and marginal costs when a social optimum exists.
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Paper provided by University of Minnesota: Nexus Research Group in its series Working Papers with number
200605.
Length: Date of creation: 2006 Date of revision: Publication status: Published in Transportmetrica Vol.2, No.3, 2006 pp.237-249. Handle: RePEc:nex:wpaper:multiagentcongestionmodel
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Find related papers by JEL classification: R41 - Urban, Rural, and Regional Economics - - Transportation Systems - - - Transportation: Demand, Supply, and Congestion R42 - Urban, Rural, and Regional Economics - - Transportation Systems - - - Government and Private Investment Analysis R48 - Urban, Rural, and Regional Economics - - Transportation Systems - - - Government Pricing; Regulatory Policies D10 - Microeconomics - - Household Behavior - - - General D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search, Learning, and Information C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
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