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A Multi-Agent Congestion and Pricing Model

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Author Info

  • Xi Zou
  • David Levinson

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

Abstract

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
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Bibliographic Info

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

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Postal: Dept. of Civil Engineering, 500 Pillsbury Drive SE, Minneapolis, MN 55455
Phone: +01 (612) 625-6354
Fax: +01 (612) 626-7750
Web page: http://nexus.umn.edu
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Related research

Keywords: Agent-based Model; Game Theory; Congestion; Queueing; Traffic Flow; Congestion Pricing; Road Pricing; Value Pricing;

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References

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  1. Levinson, David, 2005. "Micro-foundations of congestion and pricing: A game theory perspective," Transportation Research Part A: Policy and Practice, Elsevier, vol. 39(7-9), pages 691-704.
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Cited by:
  1. Hugo Emilio Silva & Robin Lindsey & Vincent A.C. van den Berg, 2014. "On the Existence and Uniqueness of Equilibrium in the Bottleneck Model with Atomic Users," Tinbergen Institute Discussion Papers 14-077/VIII, Tinbergen Institute.
  2. Xiao, Feng & Shen, Wei & Michael Zhang, H., 2012. "The morning commute under flat toll and tactical waiting," Transportation Research Part B: Methodological, Elsevier, vol. 46(10), pages 1346-1359.
  3. Shanjiang Zhu & David Levinson & Lei Zhang, 2007. "An Agent-based Route Choice Model," Working Papers 000089, University of Minnesota: Nexus Research Group.
  4. Otsubo, Hironori & Rapoport, Amnon, 2008. "Vickrey's model of traffic congestion discretized," Transportation Research Part B: Methodological, Elsevier, vol. 42(10), pages 873-889, December.

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