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Shapley Value Based Allocation for Multi-objective Cooperative Problems

In: Operations Research Proceedings 2017

Author

Listed:
  • Igor Kozeletskyi

    (Hermes Germany)

Abstract

In this paper the traveling salesman problem is used as an example to describe an allocation concept for cooperative scenarios where besides a common objective function also individual objectives of players are of importants. From a game theoretical view, such a problem corresponds to a cooperative game with non-transferable as well as transferable utilities. We define formally this cooperative game as well as an allocation concept motivated by the Shapley NTU value.

Suggested Citation

  • Igor Kozeletskyi, 2018. "Shapley Value Based Allocation for Multi-objective Cooperative Problems," Operations Research Proceedings, in: Natalia Kliewer & Jan Fabian Ehmke & Ralf Borndörfer (ed.), Operations Research Proceedings 2017, pages 17-23, Springer.
    • Handle: RePEc:spr:oprchp:978-3-319-89920-6_3
    DOI: 10.1007/978-3-319-89920-6_3
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    Cited by:

    1. Amiri, Mosleh & Farvaresh, Hamid, 2023. "Carrier collaboration with the simultaneous presence of transferable and non-transferable utilities," European Journal of Operational Research, Elsevier, vol. 304(2), pages 596-617.

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