This paper introduces four alternative representations of a set function: the Mobius transformation, the co-Mobius transformation, and the interactions between elements of any subset of a given set as extensions of Shapley and Banzhaf values. The links between the five equivalent representations of a set function are emphasized in this presentation.
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Length: 20 pages Date of creation: 1998 Date of revision: Handle: RePEc:fth:gemame:9801
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Find related papers by JEL classification: C60 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - General C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General