Banzhaf measures for games with several levels of approval in the input and output

Banzhaf measures for games with several levels of approval in the input and output

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Article ID: iaor2006292
Country: Netherlands
Volume: 137
Issue: 1
Start Page Number: 45
End Page Number: 66
Publication Date: Jul 2005
Journal: Annals of Operations Research
Authors:
Abstract:

An axiomatic characterization of a ‘Banzhaf score’ notion is provided for a class of games called (j,k) simple games with a numeric measure associated to the output set, i.e., games with n players, j ordered qualitative alternatives in the input level and k possible ordered quantitative alternatives in the output. Three Banzhaf measures are also introduced which can be used to determine a player's ‘a priori’ value in such a game. We illustrate by means of several real world examples how to compute these measures.

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