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On shortest path games

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Mathematical Methods of Operations Research Aims and scope Submit manuscript

Abstract.

A class of cooperative TU-games arising from shortest path problems is introduced and analyzed. Some conditions under which a shortest path game is balanced are obtained. Also an axiomatic characterization of the Shapley value for this class of games is provided.

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Authors and Affiliations

  1. Dipartimento di Scienze e Tecnologie Avanzate, Università del Piemonte Orientale, Corso Borsalino 54, 15100, Alessandria, Italy (e-mail: fragnell@unipmn.it), , , , , , IT

    Vito Fragnelli

  2. Department of Statistics and OR, Faculty of Mathematics, Universidad de Santiago de Compostela, 15771 Santiago de Compostela, Spain (e-mail: ignacio@zmat.usc.es), , , , , , ES

    Ignacio García-Jurado

  3. Departamento de Métodos Cuantitativos, Facultad de Económicas, Universidad de Santiago de Compostela, 15771 Santiago de Compostela, Spain (e-mail: eclmn1@usc.es), , , , , , ES

    Luciano Méndez-Naya

Authors
  1. Vito Fragnelli
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  2. Ignacio García-Jurado
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  3. Luciano Méndez-Naya
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Additional information

Manuscript received: November 1999/Final version received: February 2000

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Fragnelli, V., García-Jurado, I. & Méndez-Naya, L. On shortest path games. Mathematical Methods of OR 52, 251–264 (2000). https://doi.org/10.1007/s001860000061

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  • DOI: https://doi.org/10.1007/s001860000061