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On the core of routing games with revenues

Author

Listed:
  • Arantza Estévez-Fernández
  • Peter Borm
  • Marc Meertens
  • Hans Reijnierse

Abstract

Traveling salesman problems with revenues form a generalization of traveling salesman problems. Here, next to travel costs an explicit revenue is generated by visiting a city. We analyze routing problems with revenues, where a predetermined route on all cities determines the tours along subgroups. Corresponding routing games with revenues are analyzed. It is shown that these games have a nonempty core and a complete description of the core is provided.
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Suggested Citation

  • Arantza Estévez-Fernández & Peter Borm & Marc Meertens & Hans Reijnierse, 2009. "On the core of routing games with revenues," International Journal of Game Theory, Springer;Game Theory Society, vol. 38(2), pages 291-304, June.
    • Handle: RePEc:spr:jogath:v:38:y:2009:i:2:p:291-304
    DOI: 10.1007/s00182-009-0154-9
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    1. Jeroen Suijs & Peter Borm & Herbert Hamers & Marieke Quant & Maurice Koster, 2005. "Communication and Cooperation in Public Network Situations," Annals of Operations Research, Springer, vol. 137(1), pages 117-140, July.
    2. M. Meertens & J. Potters, 2006. "The nucleolus of trees with revenues," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 64(2), pages 363-382, October.
    3. Jean Derks & Jeroen Kuipers, 1997. "On the Core of Routing Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 26(2), pages 193-205.
    4. Estevez-Fernandez, Arantza & Borm, Peter & Hamers, Herbert, 2006. "On the core of multiple longest traveling salesman games," European Journal of Operational Research, Elsevier, vol. 174(3), pages 1816-1827, November.
    5. Potters, J.A.M. & Curiel, I. & Tijs, S.H., 1992. "Traveling salesman games," Other publications TiSEM 0dd4cf3d-25fa-4179-80f6-6, Tilburg University, School of Economics and Management.
    6. Rodica Brânzei & Elena Iñarra & Stef Tijs & José Zarzuelo, 2006. "A Simple Algorithm for the Nucleolus of Airport Profit Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 34(2), pages 259-272, August.
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    Cited by:

    1. Andrzej Grzybowski, 2010. "Probabilistic Model Of A Single Vehicle And One Destination Routing Problem And Its Monte Carlo Solutions," Advanced Logistic systems, University of Miskolc, Department of Material Handling and Logistics, vol. 4(1), pages 53-60, December.
    2. Estévez-Fernández, Arantza & Reijnierse, Hans, 2014. "On the core of cost-revenue games: Minimum cost spanning tree games with revenues," European Journal of Operational Research, Elsevier, vol. 237(2), pages 606-616.
    3. Andrzej Grzybowski, 2009. "A Note On A Single Vehicle And One Destination Routing Problem And Its Game-Theoretic Models," Advanced Logistic systems, University of Miskolc, Department of Material Handling and Logistics, vol. 3(1), pages 71-76, December.
    4. Arroyo, Federico, 2024. "Cost Allocation in Vehicle Routing Problems with Time Windows," Junior Management Science (JUMS), Junior Management Science e. V., vol. 9(1), pages 1241-1268.

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    More about this item

    Keywords

    Routing problems; Revenues; Core; C71;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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