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New characterizations of the Owen and Banzhaf–Owen values using the intracoalitional balanced contributions property

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Abstract

In this paper, several characterizations of the Owen and the Banzhaf–Owen values are provided. All the characterizations make use of a property based on the principle of balanced contributions. This property is called the intracoalitional balanced contributions property and was defined by Calvo et al. (Math Soc Sci 31:171–182, 1996).

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Notes

  1. Given a TU-game (N, v), \(P_{Sh}(N,v)={\sum _{S\subseteq N}}\frac{(s-1)!(n-s)!}{n!}v(S)\).

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Acknowledgements

Financial support from Ministerio de Ciencia y Tecnología through Grant ECO2011-23460 and from Ministerio de Economía y Competitividad through Grant MTM2014-53395-C3-1-P is gratefully acknowledged. Partial support from Xunta de Galicia through Grants ED431G/012016-2019 and ED431C2016-015 is gratefully acknowledged. I am also very grateful for the interesting comments of two anonymous referees.

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  1. MODES Research Group, Department of Mathematics, Faculty of Computer Science, Universidade da Coruña, 15071, A Coruña, Spain

    Silvia Lorenzo-Freire

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  1. Silvia Lorenzo-Freire
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Correspondence to Silvia Lorenzo-Freire.

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Lorenzo-Freire, S. New characterizations of the Owen and Banzhaf–Owen values using the intracoalitional balanced contributions property. TOP 25, 579–600 (2017). https://doi.org/10.1007/s11750-017-0446-3

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