Abstract.
In this article a new value for positive cooperative games is introduced. It generalizes the “proportional division of surplus” idea for two person games. A characterization by means of preservation of ratios and efficiency provides existence and uniqueness. Moreover, this value is the only one that is both proportional for two person games and consistent with respect to the reduced game of the Shapley value.
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Manuscript received: October 1998/final version received: April 1999
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Ortmann, K. The proportional value for positive cooperative games. Mathematical Methods of OR 51, 235–248 (2000). https://doi.org/10.1007/s001860050086
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DOI: https://doi.org/10.1007/s001860050086