Every simple monotonic game in bv'NA is a weighted majority game. Every game v \in bv'NA has a representation v=u+\sum_{i=1}^{\infty}f_i o \mu_i where u \in pNA, \mu_i \in NA^1 and f_i is a sequence of bv' functions with \sum_{i=1}^{\infty}||f_i||<\infty. Moreover, the representation is unique if we require f_i to be singular and that for every i <> j, \mu_i <>\mu_j.
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Paper provided by Center for Rationality and Interactive Decision Theory, Hebrew University, Jerusalem in its series Discussion Paper Series with number
dp262.
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