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Two-Player Noncooperative Games over a Freight Transportation Network

Author

Listed:
  • Lorenzo Castelli

    (DEEI, Università degli Studi di Trieste, via A. Valerio 10, 34127 Trieste, Italy)

  • Giovanni Longo

    (DIC, Università degli Studi di Trieste, p.le Europa 1, 34127 Trieste, Italy)

  • Raffaele Pesenti

    (DINFO, Università degli Studi di Palermo, v.le delle Scienze, 90128 Palermo, Italy)

  • Walter Ukovich

    (DEEI, Università degli Studi di Trieste, via A. Valerio 10, 34127 Trieste, Italy)

Abstract

A game between two players acting on the same road transportation network is considered in this paper. The first player aims at minimizing the transportation costs, whereas the second player aims at maximizing her profit (or, in general, her utility) that is proportional to the flow passing through the arcs under her control. We introduce bilevel linear programming formulations for this problem. We derive conditions of existence and properties of the equilibrium points and propose an algorithm finding a local optimal solution. Finally, we present an application of the model to a real system involving trucks travelling through Europe from a Middle Eastern country.

Suggested Citation

  • Lorenzo Castelli & Giovanni Longo & Raffaele Pesenti & Walter Ukovich, 2004. "Two-Player Noncooperative Games over a Freight Transportation Network," Transportation Science, INFORMS, vol. 38(2), pages 149-159, May.
    • Handle: RePEc:inm:ortrsc:v:38:y:2004:i:2:p:149-159
    DOI: 10.1287/trsc.1030.0072
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    References listed on IDEAS

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    1. Wayne F. Bialas & Mark H. Karwan, 1984. "Two-Level Linear Programming," Management Science, INFORMS, vol. 30(8), pages 1004-1020, August.
    2. 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:

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    2. Baṣak Altan & Okan Örsan Özener, 2021. "A Game Theoretical Approach for Improving the Operational Efficiencies of Less-than-truckload Carriers Through Load Exchanges," Networks and Spatial Economics, Springer, vol. 21(3), pages 547-579, September.
    3. Moreno-Quintero, Eric & Fowkes, Tony & Watling, David, 2013. "Modelling planner–carrier interactions in road freight transport: Optimisation of road maintenance costs via overloading control," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 50(C), pages 68-83.
    4. Marco Migliore & Salvatore Amoroso & Valeria Cardaci & Mario Catalano, 2011. "The role of passenger modal shift nodes in the interaction between land use and transport system," ERSA conference papers ersa10p1606, European Regional Science Association.
    5. Yaron Hollander & Joseph Prashker, 2006. "The applicability of non-cooperative game theory in transport analysis," Transportation, Springer, vol. 33(5), pages 481-496, September.
    6. Patrice Marcotte & Anne Mercier & Gilles Savard & Vedat Verter, 2009. "Toll Policies for Mitigating Hazardous Materials Transport Risk," Transportation Science, INFORMS, vol. 43(2), pages 228-243, May.

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