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The applicability of non-cooperative game theory in transport analysis

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  • Yaron Hollander

    ()

  • Joseph Prashker

    ()

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    Abstract

    Various models that incorporate concepts from Non-Cooperative Game Theory (NCGT) are described in the transport literature. Game Theory provides powerful tools for analysing transport systems, but these tools have some drawbacks that should be recognised. In the current paper we review games that describe transport problems and discuss them within a uniform context. Although the paper does not introduce new tools, it presents insights concerning the relations between transport models and games. We divide existing games into groups and show that some common features characterise multiple games. We distinguish between games that make a conceptual contribution and games that are suitable for application. Compact or symmetric game structures make remarkable observations but often do not support actual decision-making. Less aesthetic formats, most of which are Stackelberg games between authorities and travellers, are stronger as instruments that assist in determining real-life policies; these formulations can be treated by practitioners as mathematical programs with equilibrium constraints and not as games. Copyright Springer Science+Business Media B.V. 2006

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    File URL: http://hdl.handle.net/10.1007/s11116-006-0009-1
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    Bibliographic Info

    Article provided by Springer in its journal Transportation.

    Volume (Year): 33 (2006)
    Issue (Month): 5 (09)
    Pages: 481-496

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    Handle: RePEc:kap:transp:v:33:y:2006:i:5:p:481-496

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    Web page: http://www.springerlink.com/link.asp?id=103007

    Related research

    Keywords: Behavioural models; Mathematical models; Transport models; Transport policy; Non-Cooperative game Theory;

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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.
    2. Fisk, C. S., 1984. "Game theory and transportation systems modelling," Transportation Research Part B: Methodological, Elsevier, vol. 18(4-5), pages 301-313.
    3. Xiao, Feng & Yang, Hai & Han, Deren, 2007. "Competition and efficiency of private toll roads," Transportation Research Part B: Methodological, Elsevier, vol. 41(3), pages 292-308, March.
    4. Bell, Michael G. H., 2000. "A game theory approach to measuring the performance reliability of transport networks," Transportation Research Part B: Methodological, Elsevier, vol. 34(6), pages 533-545, August.
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    Cited by:
    1. Perea, Federico & Puerto, Justo, 2013. "Revisiting a game theoretic framework for the robust railway network design against intentional attacks," European Journal of Operational Research, Elsevier, vol. 226(2), pages 286-292.
    2. Hejun Kang & Darren Scott, 2008. "An integrated spatio-temporal GIS toolkit for exploring intra-household interactions," Transportation, Springer, vol. 35(2), pages 253-268, March.
    3. Reilly, Allison & Nozick, Linda & Xu, Ningxiong & Jones, Dean, 2012. "Game theory-based identification of facility use restrictions for the movement of hazardous materials under terrorist threat," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(1), pages 115-131.
    4. Sebastián Marbán & Peter Ven & Peter Borm & Herbert Hamers, 2013. "ALOHA networks: a game-theoretic approach," Computational Statistics, Springer, vol. 78(2), pages 221-242, October.
    5. Dadkar, Yashoda & Nozick, Linda & Jones, Dean, 2010. "Optimizing facility use restrictions for the movement of hazardous materials," Transportation Research Part B: Methodological, Elsevier, vol. 44(2), pages 267-281, February.
    6. Ishii, Masahiro & Lee, Paul Tae-Woo & Tezuka, Koichiro & Chang, Young-Tae, 2013. "A game theoretical analysis of port competition," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 49(1), pages 92-106.
    7. Laporte, Gilbert & Mesa, Juan A. & Perea, Federico, 2010. "A game theoretic framework for the robust railway transit network design problem," Transportation Research Part B: Methodological, Elsevier, vol. 44(4), pages 447-459, May.

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