The proportional value for positive cooperative games

K. Michael Ortmann

Mathematical Methods of Operations Research, 2000, vol. 51, issue 2, 235-248

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. Copyright Springer-Verlag Berlin Heidelberg 2000

Keywords: Key words: Shapley value; proportional value; consistency; balanced contribution (search for similar items in EconPapers)
Date: 2000
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Citations: View citations in EconPapers (28)

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DOI: 10.1007/s001860050086

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