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Games with externalities: games in coalition configuration function form

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Abstract

In this paper we introduce a model of cooperative game with externalities which generalizes games in partition function form by allowing players to take part in more than one coalition. We provide an extension of the Shapley value (1953) to these games, which is a generalization of the Myerson value (1977) for games in partition function form. This value is derived by considering an adaptation of an axiomatic characterization of the Myerson value (1977).

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Correspondence to M. Josune Albizuri.

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This research has been partially supported by the University of the Basque Country (IT-293-07) and the Ministry of Education and Science (projects SEJ2006-05455 and ECO2009-11213).

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Albizuri, M.J. Games with externalities: games in coalition configuration function form. Math Meth Oper Res 72, 171–186 (2010). https://doi.org/10.1007/s00186-010-0314-5

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  • DOI: https://doi.org/10.1007/s00186-010-0314-5

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