Singular games in bv′NA

Every simple monotonic game in bv′NA is a weighted majority game. Every game v∈bv′NA has a representation v=u+∑i=1∞fi∘μi where u∈pNA, μi∈NA1 and fi is a sequence of bv′ functions with ∑i=1∞‖fi‖<∞. Moreover, the representation is unique if we require fi to be singular and that for every i≠j, μi≠μj.