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A Multi-Agent Congestion and Pricing Model

  • Xi Zou
  • David Levinson

    ()

    (Nexus (Networks, Economics, and Urban Systems) Research Group, Department of Civil Engineering, University of Minnesota)

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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File URL: http://nexus.umn.edu/Papers/MultiAgentCongestionModel.pdf
File Function: First version, 2007
Download Restriction: no

Paper provided by University of Minnesota: Nexus Research Group in its series Working Papers with number 200605.

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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
Contact details of provider: Postal: Dept. of Civil Engineering, 500 Pillsbury Drive SE, Minneapolis, MN 55455
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Web page: http://nexus.umn.edu
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  1. David Levinson, 2005. "Micro-foundations of Congestion and Pricing: A Game Theory Perspective," Working Papers 200504, University of Minnesota: Nexus Research Group.
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