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, Volume 25, Issue 3, pp 579–600 | Cite as

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

  • Silvia Lorenzo-FreireEmail author
Original Paper

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).

Keywords

Cooperative game Shapley value Banzhaf value Coalition structure Balanced contributions 

Mathematics Subject Classification

91A12 

Notes

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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Copyright information

© Sociedad de Estadística e Investigación Operativa 2017

Authors and Affiliations

  1. 1.MODES Research Group, Department of Mathematics, Faculty of Computer ScienceUniversidade da CoruñaA CoruñaSpain

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