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Marginality and a Characterization of the Owen Graph value

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Abstract

The Owen graph value for games with coalition structure and graph restricted communication was introduced and axiomatically characterized by Vázquez-Brage et al. [Games Econ. Behav. 12 (1996) 42-53]. This note provides an alternative characterization of this value by employing the marginality principle.

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Notes

  1. We refer the reader to Vázquez-Brage et al. (1996); Alonso-Meijide et al. (2009) for details of the properties.

  2. Khmelnitskaya & Yanovskaya (2007) proposed an axiomatization of the Owen value by invoking the axioms of efficiency, individual symmetry, coalitional symmetry and marginality.

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Acknowledgements

The author is grateful to the referees for their invaluable comments, which improved the presentation of the manuscript greatly. Research was partially supported by the National Nature Science Foundation of China (No. 11971298).

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Correspondence to Erfang Shan.

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Shan, E. Marginality and a Characterization of the Owen Graph value. Int J Game Theory 52, 451–461 (2023). https://doi.org/10.1007/s00182-022-00825-0

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