Banzhaf Measures for Games with Several Levels of Approval in the Input and Output |
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Authors: | Email author" target="_blank">Josep?FreixasEmail author |
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Institution: | (1) Department of Applied Mathematics III and Polytechnic School of Manresa, Polytechnic University of Catalonia, Spain |
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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.
Research partially supported by Grant BFM 2003-01314 of the Science and Technology Spanish Ministry and the European Regional
Development Fund. |
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Keywords: | (j k) simple games abstention several levels of approval Banzhaf measures |
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